137207831040

Names of 137207831040

• Cardinal: 137207831040 can be written as One hundred thirty-seven billion, two hundred seven million, eight hundred thirty-one thousand and forty.

Scientific notation

• Scientific notation: 1.3720783104 × 10¹¹

Factors of 137207831040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 406

Divisors of 137207831040

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 120 126 128 135 140 144 160 162 168 180 189 192 210 216 224 240 243 252 256 270 280 288 315 320 324 336 360 378 384 389 405 420 432 448 480 486 504 512 540 560 567 576 630 640 648 672 720 729 756 768 778 810 840 864 896 945 960 972 1008 1080 1120 1134 1152 1167 1215 1260 1280 1296 1344 1440 1458 1512 1536 1556 1620 1680 1701 1728 1792 1890 1920 1944 1945 2016 2160 2187 2240 2268 2304 2334 2430 2520 2560 2592 2688 2723 2835 2880 2916 3024 3112 3240 3360 3402 3456 3501 3584 3645 3780 3840 3888 3890 4032 4320 4374 4480 4536 4608 4668 4860 5040 5103 5184 5376 5446 5670 5760 5832 5835 6048 6224 6480 6561 6720 6804 6912 7002 7290 7560 7680 7776 7780 8064 8169 8505 8640 8748 8960 9072 9336 9720 10080 10206 10368 10503 10752 10892 10935 11340 11520 11664 11670 12096 12448 12960 13122 13440 13608 13615 13824 14004 14580 15120 15309 15552 15560 16128 16338 17010 17280 17496 17505 17920 18144 18672 19440 19683 20160 20412 20736 21006 21784 21870 22680 23040 23328 23340 24192 24507 24896 25515 25920 26244 26880 27216 27230 28008 29160 30240 30618 31104 31120 31509 32256 32676 32805 34020 34560 34992 35010 36288 37344 38880 39366 40320 40824 40845 41472 42012 43568 43740 45360 45927 46656 46680 48384 49014 49792 51030 51840 52488 52515 53760 54432 54460 56016 58320 60480 61236 62208 62240 63018 65352 65610 68040 69120 69984 70020 72576 73521 74688 76545 77760 78732 80640 81648 81690 84024 87136 87480 90720 91854 93312 93360 94527 96768 98028 98415 99584 102060 103680 104976 105030 108864 108920 112032 116640 120960 122472 122535 124416 124480 126036 130704 131220 136080 137781 139968 140040 145152 147042 149376 153090 155520 157464 157545 161280 163296 163380 168048 174272 174960 181440 183708 186624 186720 189054 196056 196830 199168 204120 207360 209952 210060 217728 217840 220563 224064 229635 233280 241920 244944 245070 248960 252072 261408 262440 272160 275562 279936 280080 283581 290304 294084 298752 306180 311040 314928 315090 326592 326760 336096 348544 349920 362880 367416 367605 373248 373440 378108 392112 393660 408240 419904 420120 435456 435680 441126 448128 459270 466560 472635 483840 489888 490140 497920 504144 522816 524880 544320 551124 559872 560160 567162 588168 597504 612360 622080 629856 630180 653184 653520 661689 672192 688905 697088 699840 725760 734832 735210 746880 756216 784224 787320 816480 839808 840240 850743 870912 871360 882252 896256 918540 933120 945270 979776 980280 995840 1008288 1045632 1049760 1088640 1102248 1102815 1119744 1120320 1134324 1176336 1224720 1259712 1260360 1306368 1307040 1323378 1344384 1377810 1394176 1399680 1417905 1451520 1469664 1470420 1493760 1512432 1568448 1574640 1632960 1679616 1680480 1701486 1742720 1764504 1792512 1837080 1866240 1890540 1959552 1960560 1985067 2016576 2091264 2099520 2177280 2204496 2205630 2240640 2268648 2352672 2449440 2519424 2520720 2552229 2612736 2614080 2646756 2688768 2755620 2799360 2835810 2939328 2940840 2987520 3024864 3136896 3149280 3265920 3308445 3359232 3360960 3402972 3485440 3529008 3674160 3781080 3919104 3921120 3970134 4033152 4182528 4199040 4253715 4354560 4408992 4411260 4481280 4537296 4705344 4898880 5038848 5041440 5104458 5228160 5293512 5377536 5511240 5598720 5671620 5878656 5881680 5955201 6049728 6273792 6298560 6531840 6616890 6721920 6805944 6970880 7058016 7348320 7562160 7656687 7838208 7842240 7940268 8066304 8398080 8507430 8817984 8822520 8962560 9074592 9410688 9797760 9925335 10077696 10082880 10208916 10456320 10587024 11022480 11343240 11757312 11763360 11910402 12099456 12547584 12597120 12761145 13063680 13233780 13443840 13611888 14116032 14696640 15124320 15313374 15684480 15880536 16132608 16796160 17014860 17635968 17645040 17865603 18149184 18821376 19595520 19850670 20165760 20417832 20912640 21174048 22044960 22686480 23514624 23526720 23820804 24198912 25194240 25522290 26467560 26887680 27223776 28232064 29393280 29776005 30248640 30626748 31368960 31761072 34029720 35271936 35290080 35731206 36298368 37642752 38283435 39191040 39701340 40331520 40835664 42348096 44089920 45372960 47053440 47641608 48397824 50388480 51044580 52935120 53596809 54447552 56464128 58786560 59552010 60497280 61253496 62737920 63522144 68059440 70543872 70580160 71462412 72596736 76566870 79402680 80663040 81671328 84696192 88179840 89328015 90745920 94106880 95283216 102089160 105870240 107193618 108895104 112928256 117573120 119104020 120994560 122506992 127044288 136118880 141160320 142924824 145193472 153133740 158805360 163342656 169392384 176359680 178656030 181491840 188213760 190566432 204178320 211740480 214387236 217790208 238208040 241989120 245013984 254088576 267984045 272237760 282320640 285849648 306267480 317610720 326685312 338784768 352719360 357312060 362983680 381132864 408356640 423480960 428774472 435580416 476416080 490027968 508177152 535968090 544475520 564641280 571699296 612534960 635221440 653370624 714624120 725967360 762265728 816713280 846961920 857548944 952832160 980055936 1016354304 1071936180 1088951040 1143398592 1225069920 1270442880 1306741248 1429248240 1524531456 1633426560 1693923840 1715097888 1905664320 1960111872 2143872360 2177902080 2286797184 2450139840 2540885760 2858496480 3049062912 3266853120 3430195776 3811328640 3920223744 4287744720 4573594368 4900279680 5081771520 5716992960 6533706240 6860391552 7622657280 8575489440 9147188736 9800559360 11433985920 13720783104 15245314560 17150978880 19601118720 22867971840 27441566208 34301957760 45735943680 68603915520 137207831040
• Sum of all divisors σ(n): 565401133440
• Sum of proper divisors (its aliquot sum) s(n): 428193302400
• 137207831040 is an abundant number, because the sum of its proper divisors (428193302400) is greater than itself. Its abundance is 290985471360

Bases of 137207831040

• Binary: 1111111110010001110010101101000000000₂
• Hexadecimal: 0x1FF2395A00
• Base-36: 1R160000

Squares and roots of 137207831040

• 137207831040 squared (137207831040²) is 18825988898701187481600
• 137207831040 cubed (137207831040³) is 2583073103973908207422735908864000
• The square root of 137207831040 is 370415.7543085877
• The cube root of 137207831040 is 5157.7422247943

Scales and comparisons

• 137,207,831,040 seconds is equal to 4,362 years, 40 weeks, 5 days, 14 hours, 24 minutes.
• To count from 1 to 137,207,831,040 would take you about eight thousand, seven hundred twenty-five 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 137207831040 cubic inches would be around 429.8 feet tall.

Recreational maths with 137207831040

• 137207831040 backwards is 040138702731
• 137207831040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137207831040's digits is 36
• More coming soon!