137948107440

Names of 137948107440

• Cardinal: 137948107440 can be written as One hundred thirty-seven billion, nine hundred forty-eight million, one hundred seven thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3794810744 × 10¹¹

Factors of 137948107440

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 687

Divisors of 137948107440

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 53 55 60 65 66 78 80 88 104 106 110 120 130 132 143 156 159 165 176 181 195 208 212 220 240 260 264 265 286 312 318 330 362 390 419 424 429 440 520 528 530 543 572 583 624 636 660 689 715 724 780 795 838 848 858 880 905 1040 1060 1086 1144 1166 1257 1272 1320 1378 1430 1448 1560 1590 1676 1716 1749 1810 1991 2067 2095 2120 2145 2172 2288 2332 2353 2514 2544 2640 2715 2756 2860 2896 2915 3120 3180 3352 3432 3445 3498 3620 3982 4134 4190 4240 4290 4344 4609 4664 4706 5028 5430 5447 5512 5720 5830 5973 6285 6360 6704 6864 6890 6996 7059 7240 7579 7964 8268 8380 8580 8688 8745 9218 9328 9412 9593 9955 10056 10335 10860 10894 11024 11440 11660 11765 11946 12570 12720 13780 13827 13992 14118 14480 15158 15928 16341 16536 16760 17160 17490 18436 18824 19186 19910 20112 20670 21720 21788 22207 22737 23045 23320 23530 23892 25140 25883 27235 27560 27654 27984 28236 28779 29865 30316 31856 32682 33072 33520 34320 34980 35295 36872 37648 37895 38372 39820 41340 43440 43576 44414 45474 46090 46640 47060 47784 47965 50280 51766 54470 55120 55308 56472 57558 59730 59917 60632 65364 66621 69135 69960 70590 73744 75790 75839 76744 77649 79640 81705 82680 87152 88828 90948 92180 94120 95568 95930 100560 103532 105523 108940 110616 111035 112944 113685 115116 119460 119834 121264 124709 129415 130728 133242 138270 139920 141180 143895 151580 151678 153488 155298 159280 163410 165360 177656 179751 181896 184360 188240 191860 207064 211046 217880 221232 222070 227370 227517 230232 238920 239668 244277 249418 258830 261456 266484 276540 282360 287790 288691 299585 303160 303356 310596 316569 326820 333105 355312 359502 363792 368720 374127 379195 383720 388245 414128 422092 435760 444140 454740 455034 460464 477840 479336 488554 498836 517660 527615 532968 553080 564720 575580 577382 599170 606320 606712 621192 623545 633138 653640 666210 719004 732831 748254 758390 767440 776490 834229 844184 866073 888280 898755 909480 910068 958672 977108 985907 997672 1035320 1055230 1065936 1106160 1137585 1151160 1154764 1198340 1213424 1221385 1242384 1247090 1266276 1307280 1332420 1371799 1438008 1443455 1465662 1496508 1516780 1552980 1582845 1668458 1688368 1732146 1776560 1797510 1818960 1820136 1870635 1954216 1971814 1995344 2070640 2110460 2275170 2302320 2309528 2396680 2442770 2494180 2502687 2532552 2664840 2743598 2876016 2886910 2931324 2957721 2993016 3033560 3105960 3165690 3175601 3336916 3464292 3595020 3640272 3664155 3741270 3908432 3943628 4019467 4115397 4171145 4220920 4330365 4550340 4619056 4793360 4885540 4929535 4988360 5005374 5065104 5329680 5487196 5773820 5862648 5915442 5986032 6067120 6211920 6331380 6351202 6673832 6858995 6928584 7190040 7328310 7482540 7887256 8038934 8230794 8342290 8441840 8660730 9100680 9526803 9771080 9859070 9976720 10010748 10844977 10974392 11547640 11725296 11830884 12058401 12513435 12662760 12702404 13347664 13717990 13857168 14380080 14656620 14788605 14965080 15774512 15878005 16077868 16461588 16684580 17321460 18201360 19053606 19542160 19718140 20021496 20097335 20576985 21689954 21948784 23095280 23661768 24116802 25026870 25325520 25404808 27435980 29313240 29577210 29930160 31756010 32155736 32534931 32923176 33369160 34642920 38107212 39436280 40042992 40194670 41153970 43379908 44214137 47323536 47634015 48233604 50053740 50809616 52253071 54224885 54871960 58626480 59154420 60292005 63512020 64311472 65069862 65846352 66738320 69285840 76214424 78872560 80389340 82307940 86759816 88428274 95268030 96467208 100107480 104506142 108449770 109743920 118308840 120584010 127024040 130139724 132642411 152428848 156759213 160778680 162674655 164615880 173519632 176856548 190536060 192934416 200214960 209012284 216899540 221070685 236617680 241168020 254048080 260279448 261265355 265284822 313518426 321557360 325349310 329231760 353713096 381072120 418024568 433799080 442141370 482336040 520558896 522530710 530569644 574783781 627036852 650698620 663212055 707426192 762144240 783796065 836049136 867598160 884282740 964672080 1045061420 1061139288 1149567562 1254073704 1301397240 1326424110 1567592130 1724351343 1768565480 2090122840 2122278576 2299135124 2508147408 2602794480 2652848220 2873918905 3135184260 3448702686 3537130960 4180245680 4598270248 5305696440 5747837810 6270368520 6897405372 8621756715 9196540496 10611392880 11495675620 12540737040 13794810744 17243513430 22991351240 27589621488 34487026860 45982702480 68974053720 137948107440
• Sum of all divisors σ(n): 515936977920
• Sum of proper divisors (its aliquot sum) s(n): 377988870480
• 137948107440 is an abundant number, because the sum of its proper divisors (377988870480) is greater than itself. Its abundance is 240040763040

Bases of 137948107440

• Binary: 10000000011110010110010001001010110000₂
• Hexadecimal: 0x201E5912B0
• Base-36: 1RDEQOXC

Squares and roots of 137948107440

• 137948107440 squared (137948107440²) is 19029680346277783353600
• 137948107440 cubed (137948107440³) is 2625108388957184062147456310784000
• The square root of 137948107440 is 371413.6608150001
• The cube root of 137948107440 is 5167.0014355315

Scales and comparisons

• 137,948,107,440 seconds is equal to 4,386 years, 16 weeks, 5 days, 14 hours, 44 minutes.
• To count from 1 to 137,948,107,440 would take you about eight thousand, seven hundred seventy-two 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 137948107440 cubic inches would be around 430.6 feet tall.

Recreational maths with 137948107440

• 137948107440 backwards is 044701849731
• 137948107440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137948107440's digits is 48
• More coming soon!