137970872424
137,970,872,424 is an even composite number composed of seven prime numbers multiplied together.
137970872424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137970872424:
23 × 36 × 7 × 112 × 17 × 31 × 53
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 17 × 31 × 53)See below for interesting mathematical facts about the number 137970872424 from the Numbermatics database.
Names of 137970872424
- Cardinal: 137970872424 can be written as One hundred thirty-seven billion, nine hundred seventy million, eight hundred seventy-two thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37970872424 × 1011
Factors of 137970872424
Divisors of 137970872424
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 17 18 21 22 24 27 28 31 33 34 36 42 44 51 53 54 56 62 63 66 68 72 77 81 84 88 93 99 102 106 108 119 121 124 126 132 136 153 154 159 162 168 186 187 189 198 204 212 216 217 231 238 242 243 248 252 264 279 297 306 308 318 324 341 357 363 371 372 374 378 396 408 424 434 459 462 476 477 484 486 504 527 558 561 567 583 594 612 616 636 648 651 682 693 714 726 729 742 744 748 756 792 837 847 868 891 901 918 924 952 954 968 972 1023 1054 1071 1089 1113 1116 1122 1134 1166 1188 1224 1272 1302 1309 1364 1377 1386 1428 1431 1452 1458 1484 1496 1512 1581 1643 1674 1683 1694 1701 1736 1749 1782 1802 1836 1848 1908 1944 1953 2046 2057 2079 2108 2142 2178 2226 2232 2244 2268 2332 2376 2387 2511 2541 2604 2618 2673 2703 2728 2754 2772 2856 2862 2904 2916 2968 3069 3162 3213 3267 3286 3339 3348 3366 3388 3402 3498 3564 3604 3672 3689 3751 3816 3906 3927 4081 4092 4114 4131 4158 4216 4284 4293 4356 4452 4488 4536 4664 4743 4774 4929 5022 5049 5082 5103 5208 5236 5247 5346 5406 5508 5544 5724 5797 5832 5859 6138 6171 6237 6307 6324 6413 6426 6534 6572 6678 6696 6732 6776 6804 6996 7128 7161 7208 7378 7502 7533 7623 7812 7854 8019 8109 8162 8184 8228 8262 8316 8568 8586 8712 8904 9207 9486 9548 9639 9801 9858 9911 10017 10044 10098 10164 10206 10472 10494 10692 10812 11016 11067 11253 11448 11501 11594 11718 11781 12243 12276 12342 12393 12474 12614 12648 12826 12852 12879 13068 13144 13356 13464 13608 13992 14229 14322 14399 14756 14787 15004 15066 15147 15246 15624 15708 15741 16038 16218 16324 16456 16524 16632 17172 17391 17577 18073 18414 18513 18711 18921 18972 19096 19239 19278 19602 19716 19822 20034 20088 20196 20328 20412 20988 21384 21483 21624 22134 22506 22599 22869 23002 23188 23436 23562 24327 24486 24552 24684 24786 24948 25228 25652 25704 25758 26136 26257 26712 27621 27931 28458 28644 28798 28917 29403 29512 29574 29733 30008 30051 30132 30294 30492 31416 31482 32076 32436 32648 33048 33201 33759 34344 34503 34782 35154 35343 36146 36729 36828 37026 37422 37842 37944 38478 38556 38637 39204 39432 39644 40068 40392 40579 40824 41976 42687 42966 43197 44268 44361 44891 45012 45198 45441 45738 46004 46376 46872 47124 47223 48654 48972 49368 49572 49896 50456 51304 51516 52173 52514 52731 54219 55242 55539 55862 56133 56763 56916 57288 57596 57717 57834 58806 59148 59466 60102 60264 60588 60984 62964 63767 64152 64449 64872 66402 67518 68607 69006 69377 69564 70308 70686 72292 72981 73458 73656 74052 74844 75684 76956 77112 77274 78408 78771 79288 80136 81158 82863 83793 85374 85932 86394 86751 88209 88536 88722 89199 89782 90024 90153 90396 90882 91476 92008 94248 94446 97308 97944 99144 99603 101277 103032 103509 104346 105028 105462 106029 108438 109021 110187 110484 111078 111724 112266 113526 113832 115192 115434 115668 117612 118296 118932 120204 121176 121737 125928 126511 127534 128061 128898 129591 132804 133083 134673 135036 136323 137214 138012 138754 139128 140616 141372 141669 144584 145962 146916 148104 149688 151368 153912 154548 156519 157542 158193 162316 162657 165726 166617 167586 170289 170748 171864 172788 173151 173502 176418 177444 178398 179564 180306 180792 181764 182952 188892 191301 193347 194616 195517 198803 199206 202554 205821 207018 208131 208692 210056 210924 212058 216876 218042 218943 220374 220968 222156 223448 224532 227052 230868 231336 235224 236313 237864 240408 243474 248589 251379 253022 255068 256122 257796 259182 265608 266166 267597 269346 270072 270459 272646 274428 276024 277508 282744 283338 291924 293832 298809 303831 307241 309096 310527 313038 315084 316386 318087 324632 325314 327063 330561 331452 333234 335172 340578 341496 345576 346302 347004 352836 354888 356796 359128 360612 363528 365211 377784 379533 382602 384183 386694 388773 391034 397606 398412 399249 404019 405108 411642 414036 416262 417384 421848 424116 425007 433752 436084 437886 440748 444312 446369 449064 454104 461736 469557 472626 486948 487971 497178 499851 502758 506044 510136 510867 512244 515592 518364 519453 532332 535194 538692 540918 545292 548856 555016 566676 573903 580041 583848 586551 596409 597618 607662 614482 617463 621054 624393 626076 630168 632772 636174 650628 654126 656829 661122 662904 666468 670344 681156 692604 694008 705672 708939 713592 721224 730422 754137 759066 763147 765204 768366 773388 777546 782068 795212 796824 798498 802791 808038 810216 823284 828072 832524 848232 850014 872168 875772 881496 892738 896427 911493 921723 931581 939114 945252 954261 973896 975942 981189 991683 994356 999702 1005516 1012088 1021734 1024488 1036728 1038906 1064664 1070388 1077384 1081836 1090584 1095633 1133352 1138599 1147806 1160082 1166319 1173102 1192818 1195236 1197747 1212057 1215324 1228964 1234926 1242108 1248786 1252152 1265544 1272348 1301256 1308252 1313658 1322244 1332936 1339107 1362312 1385208 1391621 1408671 1417878 1460844 1463913 1499553 1508274 1518132 1526294 1530408 1532601 1536732 1546776 1555092 1558359 1564136 1590424 1596996 1605582 1616076 1646568 1665048 1700028 1721709 1740123 1751544 1759653 1785476 1789227 1792854 1822986 1843446 1863162 1873179 1878228 1890504 1908522 1951884 1962378 1983366 1988712 1999404 2011032 2043468 2077812 2126817 2140776 2150687 2163672 2191266 2262411 2277198 2289441 2295612 2320164 2332638 2346204 2385636 2390472 2395494 2408373 2424114 2430648 2457928 2469852 2484216 2497572 2544696 2616504 2627316 2644488 2678214 2689281 2734479 2765169 2783242 2794743 2817342 2835756 2921688 2927826 2943567 2975049 2999106 3016548 3036264 3052588 3065202 3073464 3110184 3116718 3193992 3211164 3232152 3286899 3379651 3400056 3415797 3443418 3480246 3498957 3519306 3570952 3578454 3585708 3636171 3645972 3686892 3726324 3746358 3756456 3817044 3903768 3924756 3966732 3998808 4017321 4086936 4155624 4174863 4226013 4253634 4301374 4382532 4391739 4524822 4554396 4578882 4591224 4597803 4640328 4665276 4675077 4692408 4771272 4790988 4816746 4848228 4939704 4995144 5165127 5254632 5278959 5356428 5367681 5378562 5468958 5530338 5566484 5589486 5619537 5634684 5671512 5855652 5887134 5950098 5998212 6033096 6105176 6130404 6233436 6380451 6422328 6452061 6573798 6759302 6787233 6831594 6868323 6886836 6960492 6997914 7038612 7156908 7171416 7225119 7272342 7291944 7373784 7452648 7492716 7634088 7849512 7933464 8034642 8295507 8349726 8384229 8452026 8507268 8602748 8765064 8783478 8830701 9049644 9108792 9157764 9195606 9330552 9350154 9581976 9633492 9696456 9860697 10138953 10247391 10330254 10496871 10557918 10712856 10735362 10757124 10908513 10937916 11060676 11132968 11178972 11239074 11269368 11711304 11774268 11900196 11996424 12051963 12260808 12466872 12524589 12760902 12904122 13147596 13175217 13518604 13574466 13663188 13736646 13773672 13920984 13995828 14077224 14313816 14450238 14544684 14985432 15495381 15836877 16069284 16103043 16591014 16699452 16768458 16858611 16904052 17014536 17205496 17566956 17661402 18099288 18315528 18391212 18700308 19141353 19266984 19356183 19721394 20277906 20361699 20494782 20604969 20660508 20993742 21115836 21470724 21514248 21817026 21875832 22121352 22357944 22478148 23548536 23657557 23800392 24103926 24886521 25049178 25521804 25808244 26295192 26350434 26492103 27037208 27148932 27326376 27473292 27991656 28900476 29089368 29582091 30416859 30742173 30990762 31673754 32138568 32206086 32725539 33182028 33398904 33536916 33717222 33808104 35133912 35322804 36155889 36782424 37400616 37573767 38282706 38712366 39442788 40555812 40723398 40989564 41209938 41321016 41987484 42231672 42941448 43634052 44956296 46486143 47315114 47510631 48207852 48309129 49773042 50098356 50575833 51043608 51616488 52700868 52984206 54297864 54946584 57800952 58068549 59164182 60833718 61484346 61814907 61981524 63347508 64412172 65451078 66364056 67073832 67434444 70645608 70972671 72311778 74659563 75147534 76565412 77424732 78885576 79476309 81111624 81446796 81979128 82419876 83974968 87268104 91250577 92226519 92972286 94630228 95021262 96415704 96618258 99546084 100196712 101151666 105401736 105968412 108467667 112721301 116137098 118328364 121667436 122968692 123629814 123963048 126695016 128824344 130902156 134868888 141945342 142531893 144623556 144927387 149319126 150295068 153130824 154849464 158952618 162893592 164839752 174205647 182501154 184453038 185444721 185944572 189260456 190042524 193236516 199092168 202303332 211936824 212918013 216935334 223978689 225442602 232274196 236656728 243334872 245937384 247259628 261804312 273751731 283890684 285063786 289247112 289854774 298638252 300590136 317905236 325403001 338163903 348411294 365002308 368906076 370889442 371889144 380085048 386473032 404606664 425836026 433870668 447957378 450885204 464548392 494519256 522616941 547503462 556334163 567781368 570127572 579709548 597276504 635810472 638754039 650806002 676327806 696822588 730004616 737812152 741778884 821255193 851672052 867741336 895914756 901770408 1014491709 1045233882 1095006924 1112668326 1140255144 1159419096 1277508078 1301612004 1352655612 1393645176 1483557768 1567850823 1642510386 1703344104 1791829512 1916262117 2028983418 2090467764 2190013848 2225336652 2463765579 2555016156 2603224008 2705311224 3135701646 3285020772 3832524234 4057966836 4180935528 4450673304 4927531158 5110032312 5748786351 6271403292 6570041544 7665048468 8115933672 9855062316 11497572702 12542806584 15330096936 17246359053 19710124632 22995145404 34492718106 45990290808 68985436212 137970872424
- Sum of all divisors σ(n): 542586885120
- Sum of proper divisors (its aliquot sum) s(n): 404616012696
- 137970872424 is an abundant number, because the sum of its proper divisors (404616012696) is greater than itself. Its abundance is 266645140272
Bases of 137970872424
- Binary: 100000000111111011010001110000011010002
- Hexadecimal: 0x201FB47068
- Base-36: 1RDSAMI0
Squares and roots of 137970872424
- 137970872424 squared (1379708724242) is 19035961637439683635776
- 137970872424 cubed (1379708724243) is 2626408234547348732906570978241024
-
The
square root of 137970872424 is 371444.3059517807 -
The
cube root of 137970872424 is 5167.2856492533
Scales and comparisons
How big is 137970872424?- 137,970,872,424 seconds is equal to 4,387 years, 2 weeks, 3 days, 2 hours, 20 minutes, 24 seconds.
-
To count from 1 to 137,970,872,424 would take you about eight thousand, seven hundred seventy-four 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 137970872424 cubic inches would be around 430.6 feet tall.
Recreational maths with 137970872424
- 137970872424 backwards is 424278079731
- 137970872424 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137970872424's digits is 54
- More coming soon!
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The information we have on file for 137970872424 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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