137623216640

Names of 137623216640

• Cardinal: 137623216640 can be written as One hundred thirty-seven billion, six hundred twenty-three million, two hundred sixteen thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3762321664 × 10¹¹

Factors of 137623216640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1623

Divisors of 137623216640

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 64 65 70 80 91 104 112 116 128 130 140 145 160 169 182 203 208 224 232 256 260 280 290 320 338 364 377 406 416 448 455 464 512 520 560 580 640 676 728 754 812 832 845 896 910 928 1015 1040 1120 1160 1183 1280 1352 1456 1508 1567 1624 1664 1690 1792 1820 1856 1885 2030 2080 2240 2320 2366 2560 2639 2704 2912 3016 3134 3248 3328 3380 3584 3640 3712 3770 4060 4160 4480 4640 4732 4901 5278 5408 5824 5915 6032 6268 6496 6656 6760 7280 7424 7540 7835 8120 8320 8960 9280 9464 9802 10556 10816 10969 11648 11830 12064 12536 12992 13195 13520 14560 14848 15080 15670 16240 16640 17920 18560 18928 19604 20371 21112 21632 21938 23296 23660 24128 24505 25072 25984 26390 27040 29120 30160 31340 32480 33280 34307 37120 37856 39208 40742 42224 43264 43876 45443 46592 47320 48256 49010 50144 51968 52780 54080 54845 58240 60320 62680 64960 68614 74240 75712 78416 81484 84448 86528 87752 90886 94640 96512 98020 100288 101855 103936 105560 108160 109690 116480 120640 125360 129920 137228 142597 151424 156832 162968 168896 171535 175504 181772 189280 193024 196040 200576 203710 211120 216320 219380 227215 232960 241280 250720 259840 264823 274456 285194 302848 313664 318101 325936 337792 343070 351008 363544 378560 392080 401152 407420 422240 432640 438760 454430 482560 501440 519680 529646 548912 570388 590759 605696 627328 636202 651872 675584 686140 702016 712985 727088 757120 784160 802304 814840 844480 877520 908860 965120 1002880 1059292 1097824 1140776 1181518 1254656 1272404 1303744 1324115 1351168 1372280 1404032 1425970 1454176 1514240 1568320 1590505 1629680 1688960 1755040 1817720 1853761 2005760 2118584 2195648 2281552 2363036 2509312 2544808 2607488 2648230 2744560 2808064 2851940 2908352 2953795 3028480 3136640 3181010 3259360 3377920 3510080 3635440 3707522 4011520 4135313 4237168 4391296 4563104 4726072 5089616 5214976 5296460 5489120 5616128 5703880 5816704 5907590 6273280 6362020 6518720 6755840 7020160 7270880 7415044 7679867 8270626 8474336 8782592 9126208 9268805 9452144 10179232 10429952 10592920 10978240 11407760 11633408 11815180 12546560 12724040 13037440 14040320 14541760 14830088 15359734 16541252 16948672 17565184 18252416 18537610 18904288 20358464 20676565 21185840 21956480 22815520 23266816 23630360 25448080 26074880 28080640 29083520 29660176 30719468 33082504 33897344 36504832 37075220 37808576 38399335 40716928 41353130 42371680 43912960 45631040 47260720 50896160 52149760 53759069 58167040 59320352 61438936 66165008 67794688 73009664 74150440 75617152 76798670 81433856 82706260 84743360 87825920 91262080 94521440 101792320 107518138 116334080 118640704 122877872 132330016 135589376 148300880 151234304 153597340 162867712 165412520 169486720 182524160 189042880 203584640 215036276 237281408 245755744 264660032 268795345 296601760 302468608 307194680 330825040 338973440 365048320 378085760 407169280 430072552 474562816 491511488 529320064 537590690 593203520 614389360 661650080 677946880 756171520 814338560 860145104 949125632 983022976 1058640128 1075181380 1186407040 1228778720 1323300160 1512343040 1720290208 1966045952 2117280256 2150362760 2372814080 2457557440 2646600320 3440580416 3932091904 4300725520 4745628160 4915114880 5293200640 6881160832 8601451040 9830229760 10586401280 13762321664 17202902080 19660459520 27524643328 34405804160 68811608320 137623216640
• Sum of all divisors σ(n): 422702945280
• Sum of proper divisors (its aliquot sum) s(n): 285079728640
• 137623216640 is an abundant number, because the sum of its proper divisors (285079728640) is greater than itself. Its abundance is 147456512000

Bases of 137623216640

• Binary: 10000000001010111110111010001000000000₂
• Hexadecimal: 0x200AFBA200
• Base-36: 1R81B5KW

Squares and roots of 137623216640

• 137623216640 squared (137623216640²) is 18940149758340372889600
• 137623216640 cubed (137623216640³) is 2606604333386120785043803602944000
• The square root of 137623216640 is 370976.0324333635
• The cube root of 137623216640 is 5162.9418634941

Scales and comparisons

• 137,623,216,640 seconds is equal to 4,375 years, 51 weeks, 4 days, 7 hours, 17 minutes, 20 seconds.
• To count from 1 to 137,623,216,640 would take you about eight thousand, seven hundred fifty-one 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 137623216640 cubic inches would be around 430.2 feet tall.

Recreational maths with 137623216640

• 137623216640 backwards is 046612326731
• The number of decimal digits it has is: 12
• The sum of 137623216640's digits is 41
• More coming soon!