137807953920

Names of 137807953920

• Cardinal: 137807953920 can be written as One hundred thirty-seven billion, eight hundred seven million, nine hundred fifty-three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3780795392 × 10¹¹

Factors of 137807953920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 109

Divisors of 137807953920

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 79 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 158 160 168 169 180 182 192 195 208 210 224 234 237 240 252 256 260 273 280 288 312 315 316 320 336 338 360 364 384 390 395 416 420 448 455 468 474 480 504 507 512 520 546 553 560 576 585 624 630 632 640 672 676 711 720 728 768 780 790 819 832 840 845 896 910 936 948 960 1008 1014 1024 1027 1040 1092 1106 1120 1152 1170 1183 1185 1248 1260 1264 1280 1344 1352 1365 1422 1440 1456 1521 1536 1560 1580 1638 1659 1664 1680 1690 1792 1820 1872 1896 1920 2016 2028 2048 2054 2080 2184 2212 2240 2304 2340 2366 2370 2496 2520 2528 2535 2560 2688 2704 2730 2765 2844 2880 2912 3042 3072 3081 3120 3160 3276 3318 3328 3360 3380 3549 3555 3584 3640 3744 3792 3840 4032 4056 4095 4096 4108 4160 4368 4424 4480 4608 4680 4732 4740 4977 4992 5040 5056 5070 5120 5135 5376 5408 5460 5530 5688 5760 5824 5915 6084 6144 6162 6240 6320 6552 6636 6656 6720 6760 7098 7110 7168 7189 7280 7488 7584 7605 7680 8064 8112 8190 8192 8216 8295 8320 8736 8848 8960 9216 9243 9360 9464 9480 9954 9984 10080 10112 10140 10240 10270 10647 10752 10816 10920 11060 11376 11520 11648 11830 12168 12288 12324 12480 12640 13104 13272 13312 13351 13440 13520 14196 14220 14336 14378 14560 14976 15168 15210 15360 15405 16128 16224 16380 16384 16432 16590 16640 17472 17696 17745 17920 18432 18486 18720 18928 18960 19908 19968 20160 20224 20280 20480 20540 21294 21504 21567 21632 21840 22120 22752 23040 23296 23660 24336 24576 24648 24885 24960 25280 26208 26544 26624 26702 26880 27040 28392 28440 28672 28756 29120 29952 30336 30420 30720 30810 32256 32448 32760 32768 32864 33180 33280 34944 35392 35490 35840 35945 36864 36972 37440 37856 37920 39816 39936 40053 40320 40448 40560 40960 41080 42588 43008 43134 43264 43680 44240 45504 46080 46215 46592 47320 48672 49152 49296 49770 49920 50560 52416 53088 53235 53248 53404 53760 54080 56784 56880 57344 57512 58240 59904 60672 60840 61440 61620 64512 64701 64896 65520 65728 66360 66560 66755 69888 70784 70980 71680 71890 73728 73944 74880 75712 75840 79632 79872 80106 80640 80896 81120 81920 82160 85176 86016 86268 86528 87360 88480 91008 92160 92430 93184 93457 94640 97344 98304 98592 99540 99840 101120 104832 106176 106470 106496 106808 107520 107835 108160 113568 113760 114688 115024 116480 119808 120159 121344 121680 122880 123240 129024 129402 129792 131040 131456 132720 133120 133510 139776 141568 141960 143360 143780 147456 147888 149760 151424 151680 159264 159744 160212 161280 161792 162240 163840 164320 170352 172032 172536 173056 174720 176960 182016 184320 184860 186368 186914 189280 194688 197184 199080 199680 200265 202240 209664 212352 212940 212992 213616 215040 215670 216320 227136 227520 229376 230048 232960 239616 240318 242688 243360 245760 246480 258048 258804 259584 262080 262912 265440 266240 267020 279552 280371 283136 283920 286720 287560 294912 295776 299520 302848 303360 318528 319488 320424 322560 323505 323584 324480 328640 340704 344064 345072 346112 349440 353920 364032 368640 369720 372736 373828 378560 389376 394368 398160 399360 400530 404480 419328 424704 425880 425984 427232 430080 431340 432640 454272 455040 460096 465920 467285 479232 480636 485376 486720 491520 492960 516096 517608 519168 524160 525824 530880 532480 534040 559104 560742 566272 567840 573440 575120 591552 599040 600795 605696 606720 637056 638976 640848 645120 647010 647168 648960 657280 681408 688128 690144 692224 698880 707840 728064 737280 739440 745472 747656 757120 778752 788736 796320 798720 801060 808960 838656 841113 849408 851760 854464 860160 862680 865280 908544 910080 920192 931840 934570 958464 961272 970752 973440 985920 1032192 1035216 1038336 1048320 1051648 1061760 1064960 1068080 1118208 1121484 1132544 1135680 1146880 1150240 1183104 1198080 1201590 1211392 1213440 1274112 1277952 1281696 1290240 1294020 1294336 1297920 1314560 1362816 1380288 1384448 1397760 1401855 1415680 1456128 1474560 1478880 1490944 1495312 1514240 1557504 1577472 1592640 1597440 1602120 1617920 1677312 1682226 1698816 1703520 1708928 1720320 1725360 1730560 1817088 1820160 1840384 1863680 1869140 1916928 1922544 1941504 1946880 1971840 2064384 2070432 2076672 2096640 2103296 2123520 2129920 2136160 2236416 2242968 2265088 2271360 2300480 2366208 2396160 2403180 2422784 2426880 2548224 2563392 2580480 2588040 2588672 2595840 2629120 2725632 2760576 2768896 2795520 2803710 2831360 2912256 2957760 2981888 2990624 3028480 3115008 3154944 3185280 3194880 3204240 3235840 3354624 3364452 3397632 3407040 3417856 3440640 3450720 3461120 3634176 3640320 3680768 3727360 3738280 3833856 3845088 3883008 3893760 3943680 4140864 4153344 4193280 4205565 4206592 4247040 4272320 4472832 4485936 4530176 4542720 4600960 4732416 4792320 4806360 4845568 4853760 5096448 5126784 5160960 5176080 5191680 5258240 5451264 5521152 5537792 5591040 5607420 5662720 5824512 5915520 5981248 6056960 6230016 6309888 6370560 6389760 6408480 6471680 6709248 6728904 6795264 6814080 6835712 6901440 6922240 7268352 7280640 7361536 7454720 7476560 7690176 7766016 7787520 7887360 8281728 8306688 8386560 8411130 8413184 8494080 8544640 8945664 8971872 9060352 9085440 9201920 9464832 9584640 9612720 9691136 9707520 10192896 10253568 10321920 10352160 10383360 10516480 10902528 11042304 11182080 11214840 11325440 11649024 11831040 11962496 12113920 12460032 12619776 12741120 12816960 12943360 13418496 13457808 13590528 13628160 13671424 13802880 13844480 14536704 14561280 14723072 14909440 14953120 15380352 15575040 15774720 16563456 16613376 16773120 16822260 16826368 16988160 17089280 17943744 18120704 18170880 18403840 18929664 19169280 19225440 19382272 19415040 20385792 20507136 20704320 20766720 21032960 21805056 22084608 22364160 22429680 22650880 23298048 23662080 23924992 24227840 24920064 25239552 25482240 25633920 26836992 26915616 27181056 27256320 27342848 27605760 27688960 29073408 29122560 29446144 29906240 30760704 31150080 31549440 33126912 33546240 33644520 33652736 33976320 34178560 35887488 36341760 36807680 37859328 38450880 38764544 38830080 40771584 41014272 41408640 41533440 42065920 43610112 44169216 44728320 44859360 45301760 47324160 47849984 48455680 49840128 50479104 50964480 51267840 53831232 54362112 54512640 54685696 55211520 58146816 58245120 58892288 59812480 61521408 62300160 63098880 66253824 67092480 67289040 67952640 68357120 71774976 72683520 73615360 75718656 76901760 81543168 82028544 82817280 83066880 84131840 87220224 88338432 89718720 90603520 94648320 95699968 96911360 100958208 101928960 102535680 107662464 109025280 109371392 110423040 116293632 116490240 117784576 119624960 123042816 124600320 126197760 132507648 134184960 134578080 135905280 136714240 143549952 145367040 147230720 151437312 153803520 163086336 164057088 165634560 168263680 174440448 176676864 179437440 189296640 191399936 193822720 203857920 205071360 215324928 218050560 218742784 220846080 235569152 239249920 246085632 249200640 252395520 265015296 269156160 271810560 273428480 287099904 290734080 294461440 302874624 307607040 328114176 331269120 348880896 353353728 358874880 378593280 382799872 407715840 410142720 430649856 436101120 437485568 441692160 478499840 492171264 504791040 530030592 538312320 546856960 574199808 581468160 588922880 615214080 656228352 662538240 706707456 717749760 757186560 765599744 815431680 820285440 861299712 872202240 883384320 956999680 984342528 1060061184 1076624640 1093713920 1148399616 1177845760 1230428160 1312456704 1325076480 1435499520 1514373120 1531199488 1640570880 1722599424 1744404480 1766768640 1913999360 1968685056 2120122368 2153249280 2187427840 2296799232 2460856320 2650152960 2870999040 3062398976 3281141760 3445198848 3533537280 3827998720 3937370112 4306498560 4593598464 4921712640 5300305920 5741998080 6562283520 6890397696 7655997440 8612997120 9187196928 9843425280 10600611840 11483996160 13780795392 15311994880 17225994240 19686850560 22967992320 27561590784 34451988480 45935984640 68903976960 137807953920
• Sum of all divisors σ(n): 598685817600
• Sum of proper divisors (its aliquot sum) s(n): 460877863680
• 137807953920 is an abundant number, because the sum of its proper divisors (460877863680) is greater than itself. Its abundance is 323069909760

Bases of 137807953920

• Binary: 10000000010101111111101000000000000000₂
• Hexadecimal: 0x2015FE8000
• Base-36: 1RB3APS0

Squares and roots of 137807953920

• 137807953920 squared (137807953920²) is 18991032163616843366400
• 137807953920 cubed (137807953920³) is 2617115285296947851172708876288000
• The square root of 137807953920 is 371224.9370934017
• The cube root of 137807953920 is 5165.2509733675

Scales and comparisons

• 137,807,953,920 seconds is equal to 4,381 years, 45 weeks, 11 hours, 12 minutes.
• To count from 1 to 137,807,953,920 would take you about eight thousand, seven hundred sixty-three 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 137807953920 cubic inches would be around 430.4 feet tall.

Recreational maths with 137807953920

• 137807953920 backwards is 029359708731
• The number of decimal digits it has is: 12
• The sum of 137807953920's digits is 54
• More coming soon!