31142692134400
31,142,692,134,400 is an even composite number composed of six prime numbers multiplied together.
31142692134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 31142692134400:
29 × 52 × 73 × 11 × 233 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 23 × 23 × 23 × 53)See below for interesting mathematical facts about the number 31142692134400 from the Numbermatics database.
Names of 31142692134400
- Cardinal: 31142692134400 can be written as Thirty-one trillion, one hundred forty-two billion, six hundred ninety-two million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.11426921344 × 1013
Factors of 31142692134400
Divisors of 31142692134400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 44 46 49 50 53 55 56 64 70 77 80 88 92 98 100 106 110 112 115 128 140 154 160 161 175 176 184 196 200 212 220 224 230 245 253 256 265 275 280 308 320 322 343 350 352 368 371 385 392 400 424 440 448 460 490 506 512 529 530 539 550 560 575 583 616 640 644 686 700 704 736 742 770 784 800 805 848 880 896 920 980 1012 1058 1060 1078 1100 1120 1127 1150 1166 1219 1225 1232 1265 1280 1288 1325 1372 1400 1408 1472 1484 1540 1568 1600 1610 1696 1715 1760 1771 1792 1840 1855 1925 1960 2024 2116 2120 2156 2200 2240 2254 2300 2332 2438 2450 2464 2530 2560 2576 2597 2645 2650 2695 2744 2800 2816 2915 2944 2968 3080 3136 3200 3220 3392 3430 3520 3542 3584 3680 3703 3710 3773 3850 3920 4025 4048 4081 4232 4240 4312 4400 4480 4508 4600 4664 4876 4900 4928 5060 5152 5194 5290 5300 5390 5488 5600 5632 5635 5819 5830 5888 5936 6095 6160 6272 6325 6400 6440 6784 6860 7040 7084 7360 7406 7420 7546 7700 7840 7889 8050 8096 8162 8464 8480 8533 8575 8624 8800 8855 8960 9016 9200 9275 9328 9752 9800 9856 10120 10304 10388 10580 10600 10780 10976 11200 11270 11638 11660 11776 11872 12167 12190 12320 12397 12544 12650 12800 12880 12985 13225 13409 13475 13568 13720 14080 14168 14575 14720 14812 14840 15092 15400 15680 15778 16100 16192 16324 16928 16960 17066 17150 17248 17600 17710 17920 18032 18179 18400 18515 18550 18656 18865 19504 19600 19712 20240 20405 20608 20776 21160 21200 21560 21952 22400 22540 23276 23320 23744 24334 24380 24640 24794 25088 25300 25760 25921 25970 26450 26818 26950 27136 27440 28037 28160 28175 28336 28567 29095 29150 29440 29624 29680 30184 30475 30800 31360 31556 32200 32384 32648 33856 33920 34132 34300 34496 35200 35420 36064 36358 36800 37030 37100 37312 37730 39008 39200 39424 39445 40480 40733 40810 41216 41552 42320 42400 42665 43120 43904 44275 44800 45080 46552 46640 47488 48668 48760 49280 49588 50600 51520 51842 51940 52900 53636 53900 54880 56074 56350 56672 57134 58190 58300 58880 59248 59360 59731 60368 60835 60950 61600 61985 62720 63112 64400 64768 64925 65296 67045 67712 67840 68264 68600 68992 70400 70840 72128 72716 73600 74060 74200 74624 75460 78016 78400 78890 80960 81466 81620 82432 83104 84640 84800 85169 85330 86240 86779 87808 88550 89600 90160 90895 92575 93104 93280 93863 94325 94976 97336 97520 98560 99176 101200 102025 103040 103684 103880 105800 107272 107800 109760 112148 112700 113344 114268 116380 116600 118496 118720 119462 120736 121670 121900 123200 123970 125440 126224 128800 129536 129605 129850 130592 133837 134090 135424 135680 136528 137200 137984 140185 140800 141680 142835 144256 145432 145475 147200 148120 148400 149248 150920 156032 156800 157780 161920 162932 163240 166208 169280 169600 170338 170660 172480 173558 175616 177100 180320 181447 181790 185150 186208 186560 187726 188650 189952 194672 195040 196259 197120 197225 198352 199969 202400 203665 204050 206080 207368 207760 211600 213325 214544 215600 219520 224296 225400 226688 228536 232760 233200 236992 237440 238924 241472 243340 243800 246400 247940 252448 257600 259210 259700 261184 267674 268180 270848 273056 274400 275968 280370 283360 285131 285670 288512 290864 290950 294400 296240 296800 298496 298655 301840 304175 308407 309925 312064 313600 315560 323840 325864 326480 332416 335225 338560 339200 340676 341320 344960 347116 354200 360640 362894 363580 370300 372416 373120 375452 377300 389344 390080 392518 394450 396704 399938 404800 407330 408100 412160 414736 415520 418117 423200 425845 426650 429088 431200 433895 439040 448592 450800 453376 454475 457072 465520 466400 469315 473984 474880 477848 482944 486680 487600 492800 495880 504896 515200 518420 519400 522368 535348 536360 546112 548800 560740 566720 570262 571340 577024 581728 581900 592480 593600 596183 597310 603680 608350 616814 619850 624128 627200 631120 644851 647680 648025 651728 652960 657041 664832 669185 670450 677120 678400 681352 682640 689920 694232 700925 708400 714175 721280 725788 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66357760 66772496 66898720 68135200 68524544 68690650 69083168 69423200 70933610 71774720 72223312 72578800 72993536 73131520 73588592 74483200 74948720 75090400 75559715 76311424 76455680 76933528 77868800 78503600 78952192 79340800 79836680 79987600 82540928 82947200 83465620 83623400 84101248 85655680 85817600 86353960 87924032 89718400 90279140 91241920 91414400 91812182 91985740 92900864 93685900 95389280 95569600 96166910 98690240 99307054 99795850 100484608 100979200 102384128 103176160 104276480 104332025 104928208 105126560 105783601 107037952 107069600 107942450 109016320 109222400 109905040 111077120 112848925 113493776 114052400 114982175 116126080 116345600 119236600 119917952 120144640 120895544 123362800 125605760 126390796 127738688 127980160 128970200 130345600 131160260 131408200 133544992 133797440 136270400 137381300 138166336 138846400 141867220 144446624 145157600 145987072 147177184 149897440 150180800 151119430 152622848 152911360 153867056 155737600 157007200 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377798575 381557120 382278400 384667640 394760960 397228216 399183400 412704640 417328100 419712832 420506240 423134404 428278400 431769800 439620160 442367786 451395700 453975104 456209600 459060910 459928700 464504320 476946400 479671808 480834550 483582176 493451200 496535270 502423040 505563184 510954752 511920640 515880800 521382400 524641040 525632800 528918005 534179968 535189760 545081600 549525200 552665344 555385600 567468880 577786496 580630400 588708736 599589760 600723200 604477720 615468224 628028800 631953980 638693440 639900800 655801300 667724960 668987200 690831680 695149378 703392256 709336100 722233120 729935360 734497456 735885920 749487200 755597150 763114240 764556800 769335280 789521920 789942475 794456432 798366800 825409280 834656200 839425664 841012480 846268808 856556800 863539600 879240320 884735572 902791400 907950208 912419200 918121820 919857400 953892800 961669100 967164352 986902400 993070540 1011126368 1021909504 1031761600 1049282080 1051265600 1057836010 1068359936 1070379520 1090163200 1099050400 1105330688 1105919465 1110771200 1134937760 1147652275 1155572992 1161260800 1177417472 1199179520 1201446400 1208955440 1230936448 1241338175 1256057600 1263907960 1277386880 1279801600 1311602600 1335449920 1337974400 1381663360 1390298756 1418672200 1444466240 1468994912 1471771840 1498974400 1511194300 1526228480 1538670560 1579884950 1588912864 1596733600 1650818560 1669312400 1678851328 1682024960 1692537616 1713113600 1727079200 1737873445 1758480640 1769471144 1805582800 1815900416 1824838400 1836243640 1839714800 1907785600 1923338200 1934328704 1973804800 1986141080 2022252736 2063523200 2098564160 2102531200 2115672020 2136719872 2198100800 2211838930 2269875520 2295304550 2311145984 2322521600 2354834944 2398359040 2417910880 2433022823 2461872896 2482676350 2512115200 2527815920 2554773760 2559603200 2623205200 2644590025 2670899840 2675948800 2763326720 2780597512 2837344400 2888932480 2937989824 2943543680 2997948800 3022388600 3077341120 3159769900 3177825728 3193467200 3338624800 3357702656 3385075232 3454158400 3475746890 3516961280 3538942288 3611165600 3631800832 3649676800 3672487280 3679429600 3815571200 3846676400 3868657408 3947609600 3972282160 4044505472 4127046400 4197128320 4205062400 4231344040 4396201600 4423677860 4539751040 4590609100 4835821760 4866045646 4923745792 4965352700 5055631840 5109547520 5246410400 5289180050 5341799680 5351897600 5526653440 5529597325 5561195024 5674688800 5777864960 5875979648 5887087360 5995897600 6044777200 6154682240 6319539800 6355651456 6386934400 6677249600 6770150464 6908316800 6951493780 7077884576 7222331200 7344974560 7358859200 7631142400 7693352800 7737314816 7944564320 8089010944 8254092800 8394256640 8410124800 8462688080 8689367225 8792403200 8847355720 9079502080 9181218200 9671643520 9732091292 9930705400 10111263680 10492820800 10578360100 10683599360 11059194650 11122390048 11349377600 11555729920 11751959296 11774174720 11991795200 12089554400 12165114115 12309364480 12639079600 12711302912 12773868800 13354499200 13540300928 13816633600 13902987560 14155769152 14444662400 14689949120 14717718400 15386705600 15889128640 16178021888 16788513280 16925376160 17378734450 17584806400 17694711440 18159004160 18362436400 19343287040 19464182584 19861410800 20222527360 20985641600 21156720200 22118389300 22244780096 22698755200 23503918592 24179108800 24330228230 24618728960 25278159200 25422605824 25547737600 26708998400 27080601856 27633267200 27805975120 28311538304 28889324800 29379898240 29435436800 30773411200 31778257280 33850752320 34757468900 35389422880 36724872800 38686574080 38928365168 39722821600 40445054720 41971283200 42313440400 44236778600 44489560192 45397510400 48358217600 48660456460 50556318400 53417996800 54161203712 55611950240 56623076608 57778649600 58759796480 58870873600 60825570575 61546822400 63556514560 67701504640 69514937800 70778845760 73449745600 77856730336 79445643200 80890109440 83942566400 84626880800 88473557200 88979120384 90795020800 96716435200 97320912920 101112636800 111223900480 113246153216 117519592960 121651141150 123093644800 127113029120 135403009280 139029875600 141557691520 146899491200 155713460672 158891286400 169253761600 176947114400 177958240768 193432870400 194641825840 202225273600 222447800960 243302282300 270806018560 278059751200 283115383040 293798982400 311426921344 317782572800 338507523200 353894228800 389283651680 404450547200 444895601920 486604564600 556119502400 566230766080 587597964800 622853842688 635565145600 677015046400 707788457600 778567303360 889791203840 973209129200 1112239004800 1245707685376 1354030092800 1415576915200 1557134606720 1946418258400 2224478009600 2831153830400 3114269213440 3892836516800 4448956019200 6228538426880 7785673033600 15571346067200 31142692134400
- Sum of all divisors σ(n): 104558522112000
- Sum of proper divisors (its aliquot sum) s(n): 73415829977600
- 31142692134400 is an abundant number, because the sum of its proper divisors (73415829977600) is greater than itself. Its abundance is 42273137843200
Bases of 31142692134400
- Binary: 1110001010010111110010001101000011110000000002
- Hexadecimal: 0x1C52F91A1E00
- Base-36: B1ER6TDZ4
Squares and roots of 31142692134400
- 31142692134400 squared (311426921344002) is 969867273378019627663360000
- 31142692134400 cubed (311426921344003) is 30204277906041626376280538123075584000000
-
The
square root of 31142692134400 is 5580563.7828448839 -
The
cube root of 31142692134400 is 31461.9317177205
Scales and comparisons
How big is 31142692134400?- 31,142,692,134,400 seconds is equal to 990,241 years, 14 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 31,142,692,134,400 would take you about two million, four hundred seventy-five thousand, six hundred three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 31142692134400 cubic inches would be around 2621.8 feet tall.
Recreational maths with 31142692134400
- 31142692134400 backwards is 00443129624113
- 31142692134400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31142692134400's digits is 40
- More coming soon!
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"Number 31142692134400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 31142692134400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/31142692134400/
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The information we have on file for 31142692134400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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