137963312640

Names of 137963312640

• Cardinal: 137963312640 can be written as One hundred thirty-seven billion, nine hundred sixty-three million, three hundred twelve thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3796331264 × 10¹¹

Factors of 137963312640

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

Divisors of 137963312640

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 67 72 80 90 93 96 108 120 124 128 134 135 144 155 160 180 186 192 201 216 240 248 256 268 270 279 288 310 320 335 360 372 384 402 432 465 480 496 512 536 540 558 576 603 620 640 670 720 744 768 804 837 864 930 960 961 992 1005 1072 1080 1116 1152 1206 1240 1280 1340 1395 1440 1488 1536 1608 1674 1728 1809 1860 1920 1922 1984 2010 2077 2144 2160 2232 2304 2412 2480 2560 2680 2790 2880 2883 2976 3015 3216 3348 3456 3618 3720 3840 3844 3968 4020 4154 4185 4288 4320 4464 4608 4805 4824 4960 5360 5580 5760 5766 5952 6030 6231 6432 6696 6912 7236 7440 7680 7688 7936 8040 8308 8370 8576 8640 8649 8928 9045 9610 9648 9920 10385 10720 11160 11520 11532 11904 12060 12462 12864 13392 13824 14415 14472 14880 15376 15872 16080 16616 16740 17152 17280 17298 17856 18090 18693 19220 19296 19840 20770 21440 22320 23040 23064 23808 24120 24924 25728 25947 26784 28830 28944 29760 29791 30752 31155 32160 33232 33480 34304 34560 34596 35712 36180 37386 38440 38592 39680 41540 42880 43245 44640 46128 47616 48240 49848 51456 51894 53568 56079 57660 57888 59520 59582 61504 62310 64320 64387 66464 66960 69120 69192 71424 72360 74772 76880 77184 79360 83080 85760 86490 89280 89373 92256 93465 96480 99696 102912 103788 107136 112158 115320 115776 119040 119164 123008 124620 128640 128774 129735 132928 133920 138384 142848 144720 148955 149544 153760 154368 166160 171520 172980 178560 178746 184512 186930 192960 193161 199392 207576 214272 224316 230640 231552 238080 238328 246016 249240 257280 257548 259470 265856 267840 268119 276768 280395 289440 297910 299088 307520 308736 321935 332320 345960 357120 357492 369024 373860 385920 386322 398784 415152 428544 446865 448632 461280 463104 476656 492032 498480 514560 515096 518940 531712 535680 536238 553536 560790 578880 579483 595820 598176 615040 643870 664640 691920 714240 714984 738048 747720 771840 772644 797568 804357 830304 893730 897264 922560 926208 953312 965805 996960 1030192 1037880 1063424 1071360 1072476 1107072 1121580 1157760 1158966 1191640 1196352 1230080 1287740 1329280 1340595 1383840 1429968 1476096 1495440 1543680 1545288 1595136 1608714 1660608 1738449 1787460 1794528 1845120 1906624 1931610 1993920 1995997 2060384 2075760 2142720 2144952 2214144 2243160 2315520 2317932 2383280 2392704 2460160 2575480 2658560 2681190 2767680 2859936 2897415 2990880 3090576 3190272 3217428 3321216 3476898 3574920 3589056 3690240 3813248 3863220 3987840 3991994 4021785 4120768 4151520 4289904 4428288 4486320 4631040 4635864 4766560 4785408 5150960 5317120 5362380 5535360 5719872 5794830 5981760 5987991 6181152 6434856 6642432 6953796 7149840 7178112 7380480 7626496 7726440 7975680 7983988 8043570 8241536 8303040 8579808 8692245 8972640 9271728 9533120 9570816 9979985 10301920 10724760 11070720 11439744 11589660 11963520 11975982 12362304 12869712 13284864 13907592 14299680 14356224 15252992 15452880 15951360 15967976 16087140 16483072 16606080 17159616 17384490 17945280 17963973 18543456 19066240 19959970 20603840 21449520 22141440 22879488 23179320 23927040 23951964 24724608 25739424 27815184 28599360 28712448 29939955 30905760 31935952 32174280 32966144 33212160 34319232 34768980 35890560 35927946 37086912 38132480 39919940 41207680 42899040 45758976 46358640 47854080 47903928 49449216 51478848 53891919 55630368 57198720 59879910 61811520 63871904 64348560 66424320 68638464 69537960 71781120 71855892 74173824 76264960 79839880 82415360 85798080 89819865 92717280 95807856 98898432 102957696 107783838 111260736 114397440 119759820 123623040 127743808 128697120 137276928 139075920 143562240 143711784 148347648 159679760 164830720 171596160 179639730 185434560 191615712 205915392 215567676 222521472 228794880 239519640 247246080 255487616 257394240 269459595 278151840 287423568 296695296 319359520 343192320 359279460 370869120 383231424 411830784 431135352 445042944 479039280 494492160 510975232 514788480 538919190 556303680 574847136 638719040 686384640 718558920 741738240 766462848 862270704 890085888 958078560 1021950464 1029576960 1077838380 1112607360 1149694272 1277438080 1437117840 1483476480 1532925696 1724541408 1916157120 2059153920 2155676760 2225214720 2299388544 2554876160 2874235680 3065851392 3449082816 3832314240 4311353520 4450429440 4598777088 5109752320 5748471360 6898165632 7664628480 8622707040 9197554176 11496942720 13796331264 15329256960 17245414080 22993885440 27592662528 34490828160 45987770880 68981656320 137963312640
• Sum of all divisors σ(n): 513949962240
• Sum of proper divisors (its aliquot sum) s(n): 375986649600
• 137963312640 is an abundant number, because the sum of its proper divisors (375986649600) is greater than itself. Its abundance is 238023336960

Bases of 137963312640

• Binary: 10000000011111010000010001011000000000₂
• Hexadecimal: 0x201F411600
• Base-36: 1RDNSLC0

Squares and roots of 137963312640

• 137963312640 squared (137963312640²) is 19033875634602383769600
• 137963312640 cubed (137963312640³) is 2625976534927527074094586527744000
• The square root of 137963312640 is 371434.1296111599
• The cube root of 137963312640 is 5167.1912711761

Scales and comparisons

• 137,963,312,640 seconds is equal to 4,386 years, 41 weeks, 6 days, 14 hours, 24 minutes.
• To count from 1 to 137,963,312,640 would take you about eight thousand, seven hundred seventy-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 137963312640 cubic inches would be around 430.6 feet tall.

Recreational maths with 137963312640

• 137963312640 backwards is 046213369731
• 137963312640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137963312640's digits is 45
• More coming soon!