10138441645440
10,138,441,645,440 is an even composite number composed of five prime numbers multiplied together.
What does the number 10138441645440 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 896 divisors.
10138441645440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 10138441645440:
27 × 36 × 5 × 173 × 4423
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 17 × 17 × 4423)See below for interesting mathematical facts about the number 10138441645440 from the Numbermatics database.
Names of 10138441645440
- Cardinal: 10138441645440 can be written as Ten trillion, one hundred thirty-eight billion, four hundred forty-one million, six hundred forty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.013844164544 × 1013
Factors of 10138441645440
Divisors of 10138441645440
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 128 135 136 144 153 160 162 170 180 192 204 216 240 243 255 270 272 288 289 306 320 324 340 360 384 405 408 432 459 480 486 510 540 544 576 578 612 640 648 680 720 729 765 810 816 864 867 918 960 972 1020 1080 1088 1152 1156 1215 1224 1296 1360 1377 1440 1445 1458 1530 1620 1632 1728 1734 1836 1920 1944 2040 2160 2176 2295 2312 2430 2448 2592 2601 2720 2754 2880 2890 2916 3060 3240 3264 3456 3468 3645 3672 3888 4080 4131 4320 4335 4423 4590 4624 4860 4896 4913 5184 5202 5440 5508 5760 5780 5832 6120 6480 6528 6885 6936 7290 7344 7776 7803 8160 8262 8640 8670 8846 9180 9248 9720 9792 9826 10368 10404 10880 11016 11560 11664 12240 12393 12960 13005 13269 13770 13872 14580 14688 14739 15552 15606 16320 16524 17280 17340 17692 18360 18496 19440 19584 19652 20655 20808 22032 22115 23120 23328 23409 24480 24565 24786 25920 26010 26538 27540 27744 29160 29376 29478 31104 31212 32640 33048 34680 35384 36720 36992 38880 39015 39304 39807 41310 41616 44064 44217 44230 46240 46656 46818 48960 49130 49572 51840 52020 53076 55080 55488 58320 58752 58956 61965 62424 66096 66345 69360 70227 70768 73440 73695 75191 77760 78030 78608 79614 82620 83232 88128 88434 88460 92480 93312 93636 97920 98260 99144 104040 106152 110160 110976 116640 117045 117912 119421 123930 124848 132192 132651 132690 138720 140454 141536 146880 147390 150382 155520 156060 157216 159228 165240 166464 176256 176868 176920 184960 187272 196520 198288 199035 208080 210681 212304 220320 221085 225573 233280 234090 235824 238842 247860 249696 264384 265302 265380 277440 280908 283072 293760 294780 300764 312120 314432 318456 330480 332928 351135 353736 353840 358263 374544 375955 393040 396576 397953 398070 416160 421362 424608 440640 442170 451146 466560 468180 471648 477684 495720 499392 528768 530604 530760 554880 561816 566144 589560 597105 601528 624240 628864 636912 660960 663255 676719 702270 707472 707680 716526 749088 751910 786080 793152 795906 796140 832320 842724 849216 881280 884340 902292 936360 943296 955368 991440 998784 1053405 1061208 1061520 1074789 1123632 1127865 1179120 1193859 1194210 1203056 1248480 1273824 1278247 1321920 1326510 1353438 1404540 1414944 1415360 1433052 1498176 1503820 1572160 1586304 1591812 1592280 1664640 1685448 1698432 1768680 1791315 1804584 1872720 1886592 1910736 1982880 1989765 2030157 2106810 2122416 2123040 2149578 2247264 2255730 2358240 2387718 2388420 2406112 2496960 2547648 2556494 2643840 2653020 2706876 2809080 2829888 2830720 2866104 2996352 3007640 3144320 3183624 3184560 3224367 3370896 3383595 3537360 3581577 3582630 3609168 3745440 3821472 3834741 3965760 3979530 4060314 4213620 4244832 4246080 4299156 4494528 4511460 4716480 4775436 4776840 4812224 4993920 5095296 5112988 5306040 5373945 5413752 5618160 5659776 5732208 5969295 6015280 6090471 6367248 6369120 6391235 6448734 6741792 6767190 7074720 7163154 7165260 7218336 7490880 7642944 7669482 7931520 7959060 8120628 8427240 8489664 8492160 8598312 8989056 9022920 9432960 9550872 9553680 9624448 10150785 10225976 10612080 10747890 10827504 11236320 11464416 11504223 11938590 12030560 12180942 12734496 12738240 12782470 12897468 13483584 13534380 14149440 14326308 14330520 14436672 14981760 15285888 15338964 15918120 16121835 16241256 16854480 16979328 17196624 17907885 18045840 18271413 19101744 19107360 19173705 20301570 20451952 21224160 21495780 21655008 21730199 22472640 22928832 23008446 23877180 24061120 24361884 25468992 25476480 25564940 25794936 26967168 27068760 28298880 28652616 28661040 28873344 30452355 30677928 31836240 32243670 32482512 33708960 34393248 34512669 35815770 36091680 36542826 38203488 38214720 38347410 40603140 40903904 42448320 42991560 43310016 43460398 44945280 45857664 46016892 47754360 48122240 48723768 50937984 51129880 51589872 54137520 54814239 57305232 57322080 57521115 60904710 61355856 63672480 64487340 64965024 65190597 67417920 68786496 69025338 71631540 72183360 73085652 76406976 76429440 76694820 81206280 81807808 84896640 85983120 86620032 86920796 91357065 92033784 95508720 97447536 102259760 103179744 103538007 108275040 108650995 109628478 114610464 114644160 115042230 121809420 122711712 127344960 128974680 129930048 130381194 134835840 137572992 138050676 143263080 144366720 146171304 152813952 153389640 162412560 163615616 171966240 172563345 173841592 182714130 184067568 191017440 194895072 195571791 204519520 206359488 207076014 216550080 217301990 219256956 229220928 229288320 230084460 243618840 245423424 254689920 257949360 259860096 260762388 274071195 276101352 286526160 292342608 306779280 310614021 324825120 325952985 343932480 345126690 347683184 365428260 368135136 382034880 389790144 391143582 409039040 412718976 414152028 433100160 434603980 438513912 458441856 460168920 487237680 490846848 515898720 517690035 521524776 548142390 552202704 573052320 584685216 586715373 613558560 621228042 649650240 651905970 687864960 690253380 695366368 730856520 736270272 764069760 779580288 782287164 818078080 828304056 869207960 877027824 920337840 931842063 974475360 977858955 1031797440 1035380070 1043049552 1096284780 1104405408 1146104640 1169370432 1173430746 1227117120 1242456084 1299300480 1303811940 1380506760 1390732736 1461713040 1472540544 1553070105 1564574328 1656608112 1738415920 1754055648 1760146119 1840675680 1863684126 1948950720 1955717910 2063594880 2070760140 2086099104 2192569560 2208810816 2292209280 2338740864 2346861492 2454234240 2484912168 2607623880 2761013520 2781465472 2923426080 2933576865 3106140210 3129148656 3313216224 3476831840 3508111296 3520292238 3681351360 3727368252 3897901440 3911435820 4141520280 4172198208 4385139120 4417621632 4659210315 4693722984 4969824336 5215247760 5280438357 5522027040 5846852160 5867153730 6212280420 6258297312 6626432448 6953663680 7016222592 7040584476 7362702720 7454736504 7822871640 8283040560 8344396416 8770278240 8800730595 9318420630 9387445968 9939648672 10430495520 10560876714 11044054080 11693704320 11734307460 12424560840 12516594624 13252864896 13907327360 14081168952 14909473008 15645743280 15841315071 16566081120 17540556480 17601461190 18636841260 18774891936 19879297344 20860991040 21121753428 22088108160 23468614920 24849121680 25033189248 26402191785 28162337904 29818946016 31291486560 31682630142 33132162240 35081112960 35202922380 37273682520 37549783872 39758594688 41721982080 42243506856 46937229840 49698243360 52804383570 56324675808 59637892032 62582973120 63365260284 66264324480 70405844760 74547365040 75099567744 79206575355 84487013712 93874459680 99396486720 105608767140 112649351616 119275784064 125165946240 126730520568 140811689520 149094730080 158413150710 168974027424 187748919360 198792973440 211217534280 225298703232 253461041136 281623379040 298189460160 316826301420 337948054848 375497838720 422435068560 506922082272 563246758080 596378920320 633652602840 675896109696 844870137120 1013844164544 1126493516160 1267305205680 1689740274240 2027688329088 2534610411360 3379480548480 5069220822720 10138441645440
- Sum of all divisors σ(n): 38618661211200
- Sum of proper divisors (its aliquot sum) s(n): 28480219565760
- 10138441645440 is an abundant number, because the sum of its proper divisors (28480219565760) is greater than itself. Its abundance is 18341777920320
Bases of 10138441645440
- Binary: 100100111000100010100011011001111101100000002
- Hexadecimal: 0x9388A367D80
- Base-36: 3LDJAE000
Squares and roots of 10138441645440
- 10138441645440 squared (101384416454402) is 102787998997992134672793600
- 10138441645440 cubed (101384416454403) is 1042110129692688449108215621985501184000
-
The
square root of 10138441645440 is 3184091.9656065213 -
The
cube root of 10138441645440 is 21643.3127569979
Scales and comparisons
How big is 10138441645440?- 10,138,441,645,440 seconds is equal to 322,371 years, 4 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 10,138,441,645,440 would take you about eight hundred five thousand, nine hundred twenty-seven 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 10138441645440 cubic inches would be around 1803.6 feet tall.
Recreational maths with 10138441645440
- 10138441645440 backwards is 04454614483101
- 10138441645440 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10138441645440's digits is 45
- More coming soon!
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The information we have on file for 10138441645440 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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