137128615029120

Names of 137128615029120

• Cardinal: 137128615029120 can be written as One hundred thirty-seven trillion, one hundred twenty-eight billion, six hundred fifteen million, twenty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3712861502912 × 10¹⁴

Factors of 137128615029120

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10563

Divisors of 137128615029120

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 26 30 32 33 34 39 40 44 48 51 52 53 55 60 64 65 66 68 78 80 85 88 96 102 104 106 110 120 128 130 132 136 143 156 159 160 165 170 176 187 192 195 204 208 212 220 221 240 255 260 264 265 272 286 312 318 320 330 340 352 374 384 390 408 416 424 429 440 442 480 510 520 528 530 544 561 572 583 624 636 640 660 663 680 689 704 715 748 780 795 816 832 848 858 880 884 901 935 960 1020 1040 1056 1060 1088 1105 1122 1144 1166 1248 1272 1320 1326 1360 1378 1408 1430 1496 1560 1590 1632 1664 1696 1716 1749 1760 1768 1802 1870 1920 2040 2067 2080 2112 2120 2145 2176 2210 2244 2288 2332 2431 2496 2544 2640 2652 2703 2720 2756 2805 2809 2860 2915 2992 3120 3180 3264 3315 3392 3432 3445 3498 3520 3536 3604 3740 4080 4134 4160 4224 4240 4290 4420 4488 4505 4576 4664 4862 4992 5088 5280 5304 5406 5440 5512 5610 5618 5720 5830 5984 6240 6360 6528 6630 6784 6864 6890 6996 7040 7072 7208 7293 7480 7579 8160 8268 8320 8427 8480 8580 8745 8840 8976 9010 9152 9328 9724 9911 10176 10335 10459 10560 10608 10812 10880 11024 11220 11236 11440 11660 11713 11968 12155 12480 12720 13260 13515 13728 13780 13992 14045 14144 14416 14586 14960 15158 16320 16536 16854 16960 17160 17490 17680 17952 18020 18304 18656 19448 19822 20352 20670 20918 21120 21216 21624 22048 22440 22472 22737 22880 23320 23426 23936 24310 24960 25440 26520 27030 27456 27560 27984 28090 28288 28832 29172 29733 29920 30316 30899 31377 32640 33072 33708 33920 34320 34980 35139 35360 35904 36040 36465 36517 37312 37895 38896 39644 41340 41836 42135 42432 43248 44096 44880 44944 45474 45760 46640 46852 47753 48620 49555 50880 52295 53040 54060 54912 55120 55968 56180 57664 58344 58565 59466 59840 60632 61798 62754 66144 67416 68640 69960 70278 70720 71808 72080 72930 73034 74624 75790 77792 79288 82680 83672 84270 84864 86496 88192 89760 89888 90948 91520 92697 93280 93704 95506 97240 99110 101760 104590 106080 108120 109551 110240 111936 112360 113685 115049 115328 116688 117130 118932 119680 121264 123596 125508 128843 132288 134832 135967 137280 139920 140556 141440 143259 144160 145860 146068 148665 151580 154495 155584 156885 158576 165360 167344 168540 172992 175695 177803 179520 179776 181896 182585 185394 186560 187408 191012 194480 198220 209180 212160 216240 219102 220480 223872 224720 227370 230098 233376 234260 237864 238765 242528 247192 251016 257686 264576 269664 271934 274560 279840 281112 286518 288320 291720 292136 297330 303160 308990 311168 313770 317152 330720 334688 337080 345147 345984 351390 355606 359040 359552 363792 365170 370788 373120 374816 382024 386529 388960 396440 401687 407901 418360 424320 432480 438204 440960 449440 454740 460196 463485 466752 468520 475728 477530 485056 494384 502032 515372 525283 533409 539328 543868 547755 554327 559680 562224 573036 575245 576640 583440 584272 594660 606320 617980 620789 627540 634304 644215 661440 669376 674160 679835 690294 702780 711212 716295 727584 730340 741576 749632 764048 773058 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48817591680 48887206784 49756391520 50414931996 50732007040 51707622560 51942657208 53902757480 54939348970 56408315520 58803008160 59933835240 61109008480 62049147072 63018664995 63929424256 64683308976 64928321510 65927218764 66341855360 67219909328 71421153661 73330810176 76098010560 77561433840 77913985812 78404010880 79911780320 80854136220 82409023455 84024886660 86244411968 87902958352 91663512720 95894136384 97392482265 99512783040 100829863992 103415245120 103885314416 107805514960 109878697940 117606016320 119867670480 122218016960 124098294144 126037329990 129366617952 129856643020 131854437528 134439818656 142842307322 146661620352 152196021120 155122867680 155827971624 159823560640 161708272440 164818046910 168049773320 172488823936 175805916704 183327025440 191788272768 194784964530 199025566080 201659727984 206830490240 207770628832 214263460983 215611029920 219757395880 235212032640 239735340960 244436033920 252074659980 258733235904 259713286040 263708875056 268879637312 285684614644 310245735360 311655943248 319647121280 323416544880 329636093820 336099546640 351611833408 357105768305 366654050880 389569929060 403319455968 415541257664 428526921966 431222059840 439514791760 479470681920 504149319960 517466471808 519426572080 527417750112 537759274624 571369229288 620491470720 623311886496 646833089760 659272187640 672199093280 703223666816 714211536610 733308101760 779139858120 806638911936 831082515328 857053843932 862444119680 879029583520 958941363840 1008298639920 1038853144160 1054835500224 1071317304915 1142738458576 1246623772992 1293666179520 1318544375280 1344398186560 1428423073220 1558279716240 1613277823872 1714107687864 1758059167040 2016597279840 2077706288320 2109671000448 2142634609830 2285476917152 2493247545984 2587332359040 2637088750560 2688796373120 2856846146440 3116559432480 3428215375728 3516118334080 4033194559680 4155412576640 4285269219660 4570953834304 5274177501120 5713692292880 6233118864960 6856430751456 8066389119360 8570538439320 9141907668608 10548355002240 11427384585760 12466237729920 13712861502912 17141076878640 22854769171520 27425723005824 34282153757280 45709538343040 68564307514560 137128615029120
• Sum of all divisors σ(n): 554225165222400
• Sum of proper divisors (its aliquot sum) s(n): 417096550193280
• 137128615029120 is an abundant number, because the sum of its proper divisors (417096550193280) is greater than itself. Its abundance is 279967935164160

Bases of 137128615029120

• Binary: 11111001011011110111110011000110010100110000000₂
• Hexadecimal: 0x7CB7BE632980
• Base-36: 1CLW0KTYTC

Squares and roots of 137128615029120

• 137128615029120 squared (137128615029120²) is 18804257059804595538447974400
• 137128615029120 cubed (137128615029120³) is 2578601727262556322404059801107061014528000
• The square root of 137128615029120 is 11710192.7836018139
• The cube root of 137128615029120 is 51567.4943787683

Scales and comparisons

• 137,128,615,029,120 seconds is equal to 4,360,265 years, 41 weeks, 1 day, 32 minutes.
• To count from 1 to 137,128,615,029,120 would take you about ten million, nine hundred thousand, six hundred sixty-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 137128615029120 cubic inches would be around 4297.3 feet tall.

Recreational maths with 137128615029120

• 137128615029120 backwards is 021920516821731
• 137128615029120 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137128615029120's digits is 48
• More coming soon!