137519934923840

Names of 137519934923840

• Cardinal: 137519934923840 can be written as One hundred thirty-seven trillion, five hundred nineteen billion, nine hundred thirty-four million, nine hundred twenty-three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3751993492384 × 10¹⁴

Factors of 137519934923840

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 108

Divisors of 137519934923840

• Number of divisors d(n): 784
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 53 56 64 70 80 82 98 106 112 140 160 164 196 205 212 224 245 265 280 287 320 328 343 371 392 410 424 448 490 530 560 574 656 686 742 784 820 848 980 1060 1120 1148 1312 1372 1435 1484 1568 1640 1681 1696 1715 1855 1960 2009 2120 2173 2240 2296 2401 2597 2624 2744 2870 2968 3136 3280 3362 3392 3430 3710 3920 4018 4240 4346 4592 4802 5194 5488 5740 5936 6560 6724 6860 7420 7840 8036 8405 8480 8692 9184 9604 10045 10388 10865 10976 11480 11767 11872 12005 12985 13120 13448 13720 14063 14840 15211 15680 16072 16807 16810 16960 17384 18179 18368 19208 20090 20776 21730 21952 22960 23534 23744 24010 25970 26896 27440 28126 29680 30422 32144 33614 33620 34768 36358 38416 40180 41552 43460 45920 47068 48020 51940 53792 54880 56252 58835 59360 60844 64288 67228 67240 68921 69536 70315 72716 76055 76832 80360 82369 83104 84035 86920 89093 90895 91840 94136 96040 98441 103880 106477 107584 109760 112504 117649 117670 118720 121688 127253 128576 134456 134480 137842 139072 140630 145432 152110 153664 160720 164738 166208 168070 173840 178186 181790 188272 192080 196882 207760 212954 225008 235298 235340 243376 254506 268912 268960 275684 281260 290864 304220 321440 329476 336140 344605 347680 356372 363580 376544 384160 393764 411845 415520 425908 445465 450016 470596 470680 482447 486752 492205 509012 532385 537824 537920 551368 562520 576583 581728 588245 608440 623651 636265 642880 658952 672280 689087 689210 695360 712744 727160 745339 753088 768320 787528 823690 831040 851816 890771 890930 900032 941192 941360 964894 973504 984410 1018024 1064770 1075648 1102736 1125040 1153166 1163456 1176490 1216880 1247302 1272530 1317904 1344560 1378174 1378420 1425488 1454320 1490678 1575056 1647380 1703632 1781542 1781860 1882384 1882720 1929788 1968820 2036048 2129540 2205472 2250080 2306332 2352980 2412235 2433760 2494604 2545060 2635808 2689120 2756348 2756840 2850976 2882915 2908640 2981356 3118255 3150112 3294760 3377129 3407264 3445435 3563084 3563720 3652813 3726695 3764768 3765440 3859576 3937640 4036081 4072096 4259080 4365557 4410944 4453855 4500160 4612664 4705960 4823609 4824470 4867520 4989208 5090120 5217373 5271616 5378240 5512696 5513680 5701952 5765830 5817280 5962712 6235397 6236510 6300224 6589520 6754258 6814528 6890870 7126168 7127440 7305626 7453390 7529536 7719152 7875280 8072162 8144192 8518160 8731114 8907710 9225328 9411920 9647218 9648940 9978416 10180240 10434746 11025392 11027360 11531660 11925424 12470794 12473020 13179040 13508516 13781740 14252336 14254880 14611252 14906780 15438304 15750560 16144324 16885645 17036320 17462228 17815420 18264065 18450656 18823840 19294436 19297880 19956832 20180405 20360480 20869492 21827785 22050784 22054720 23063320 23639903 23850848 24118045 24941588 24946040 25569691 26086865 26358080 27017032 27563480 28252567 28504672 28509760 29222504 29813560 30558899 30876608 31176985 31501120 32288648 33771290 34072640 34924456 35630840 36521611 36528130 36901312 37647680 38588872 38595760 39913664 40360810 40720960 41738984 43655570 44101568 46126640 47279806 47701696 48236090 49883176 49892080 51139382 52173730 54034064 55126960 56505134 57009344 58445008 59627120 61117798 62353970 64577296 67542580 69848912 71261680 73043222 73056260 77177744 77191520 80721620 83477968 87311140 92253280 94559612 96472180 99766352 99784160 102278764 104347460 108068128 110253920 113010268 116890016 118199515 119254240 122235596 124707940 127848455 129154592 135085160 139697824 141262835 142523360 146086444 146112520 152794495 154355488 154383040 161443240 165479321 166955936 174622280 178987837 182608055 184506560 189119224 192944360 197767969 199532704 199568320 204557528 208694920 213912293 216136256 220507840 226020536 233780032 236399030 238508480 244471192 249415880 255651277 255696910 258309184 270170320 279395648 282525670 285046720 292172888 292225040 305588990 308710976 322886480 330958642 333911872 349244560 357975674 365216110 378238448 385888720 395535938 399065408 409115056 417389840 427824586 452041072 472798060 488942384 498831760 511302554 511393820 540340640 565051340 584345776 584450080 611177980 645772960 661917284 698489120 715951348 730432220 756476896 771777440 791071876 818230112 827396605 834779680 855649172 894939185 904082144 945596120 977884768 988839845 997663520 1022605108 1022787640 1069561465 1080681280 1130102680 1158355247 1168691552 1168900160 1222355960 1252914859 1278256385 1291545920 1323834568 1396978240 1431902696 1460864440 1497386051 1512953792 1543554880 1582143752 1636460224 1654793210 1669559360 1711298344 1789878370 1808164288 1891192240 1955769536 1977679690 1995327040 2045210216 2045575280 2139122930 2260205360 2316710494 2337383104 2444711920 2505829718 2556512770 2647669136 2863805392 2921728880 2994772102 3164287504 3309586420 3422596688 3579756740 3782384480 3955359380 4090420432 4091150560 4278245860 4520410720 4633420988 4889423840 5011659436 5113025540 5295338272 5727610784 5791776235 5843457760 5989544204 6264574295 6328575008 6619172840 6845193376 7159513480 7486930255 7564768960 7910718760 8108486729 8180840864 8182301120 8556491720 8770404013 9040821440 9266841976 9778847680 10023318872 10226051080 10481702357 10590676544 11455221568 11583552470 11686915520 11979088408 12529148590 12657150016 13238345680 13690386752 14319026960 14973860510 15821437520 16216973458 16361681728 17112983440 17540808026 18533683952 20046637744 20452102160 20963404714 23167104940 23958176816 25058297180 26476691360 28638053920 29947721020 31642875040 32433946916 34225966880 35081616052 37067367904 40093275488 40542433645 40904204320 41926809428 43852020065 46334209880 47916353632 50116594360 52408511785 52953382720 57276107840 59895442040 61392828091 63285750080 64867893832 68451933760 70163232104 74134735808 80186550976 81084867290 81808408640 83853618856 87704040130 92668419760 95832707264 100233188720 104817023570 119790884080 122785656182 129735787664 140326464208 162169734580 167707237712 175408080260 185336839520 200466377440 209634047140 239581768160 245571312364 259471575328 280652928416 306964140455 324339469160 335414475424 350816160520 370673679040 400932754880 419268094280 429749796637 479163536320 491142624728 518943150656 561305856832 613928280910 648678938320 670828950848 701632321040 838536188560 859499593274 982285249456 1227856561820 1297357876640 1403264642080 1677072377120 1718999186548 1964570498912 2148748983185 2455713123640 2594715753280 2806529284160 3354144754240 3437998373096 3929140997824 4297497966370 4911426247280 6875996746192 8594995932740 9822852494560 13751993492384 17189991865480 19645704989120 27503986984768 34379983730960 68759967461920 137519934923840
• Sum of all divisors σ(n): 398986788587184
• Sum of proper divisors (its aliquot sum) s(n): 261466853663344
• 137519934923840 is an abundant number, because the sum of its proper divisors (261466853663344) is greater than itself. Its abundance is 123946918739504

Bases of 137519934923840

• Binary: 11111010001001011011010110111101110010001000000₂
• Hexadecimal: 0x7D12DADEE440
• Base-36: 1CQVSALE0W

Squares and roots of 137519934923840

• 137519934923840 squared (137519934923840²) is 18911732501457188506600345600
• 137519934923840 cubed (137519934923840³) is 2600740222897462421399447121226853679104000
• The square root of 137519934923840 is 11726889.3967599097
• The cube root of 137519934923840 is 51616.5000068871

Scales and comparisons

• 137,519,934,923,840 seconds is equal to 4,372,708 years, 28 weeks, 5 days, 11 hours, 17 minutes, 20 seconds.
• To count from 1 to 137,519,934,923,840 would take you about ten million, nine hundred thirty-one thousand, seven hundred seventy-one 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 137519934923840 cubic inches would be around 4301.4 feet tall.

Recreational maths with 137519934923840

• 137519934923840 backwards is 048329439915731
• The number of decimal digits it has is: 15
• The sum of 137519934923840's digits is 68
• More coming soon!