138672617020416

Names of 138672617020416

• Cardinal: 138672617020416 can be written as One hundred thirty-eight trillion, six hundred seventy-two billion, six hundred seventeen million, twenty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.38672617020416 × 10¹⁴

Factors of 138672617020416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1405

Divisors of 138672617020416

• Number of divisors d(n): 440
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 128 144 162 192 216 218 256 288 324 327 384 432 436 512 576 648 654 768 864 872 981 1024 1152 1291 1296 1308 1536 1728 1744 1962 2304 2582 2592 2616 2943 3072 3456 3488 3873 3924 4608 5164 5184 5232 5886 6912 6976 7746 7848 8829 9216 10328 10368 10464 11619 11772 11881 13824 13952 15492 15696 17658 20656 20736 20928 23238 23544 23762 27648 27904 30984 31392 34857 35316 35643 41312 41472 41856 46476 47088 47524 55808 61968 62784 69714 70632 71286 82624 82944 83712 92952 94176 95048 104571 106929 111616 123936 125568 139428 140719 141264 142572 165248 167424 185904 188352 190096 209142 213858 247872 251136 278856 281438 282528 285144 320787 330496 334848 371808 376704 380192 418284 422157 427716 495744 502272 557712 562876 565056 570288 641574 660992 743616 753408 760384 836568 844314 855432 962361 991488 1004544 1115424 1125752 1130112 1140576 1266471 1283148 1295029 1321984 1487232 1506816 1520768 1673136 1688628 1710864 1924722 1982976 2230848 2251504 2260224 2281152 2532942 2566296 2590058 2974464 3013632 3041536 3346272 3377256 3421728 3799413 3849444 3885087 3965952 4461696 4503008 4520448 4562304 5065884 5132592 5180116 5948928 6083072 6692544 6754512 6843456 7598826 7698888 7770174 8923392 9006016 9040896 9124608 10131768 10265184 10360232 11398239 11655261 11897856 12166144 13385088 13509024 13686912 15197652 15338371 15397776 15540348 17846784 18012032 18249216 20263536 20530368 20720464 22796478 23310522 26770176 27018048 27373824 30395304 30676742 30795552 31080696 34965783 35693568 36024064 36498432 40527072 41060736 41440928 45592956 46015113 46621044 53540352 54036096 54747648 60790608 61353484 61591104 62161392 69931566 72048128 81054144 82121472 82881856 91185912 92030226 93242088 104897349 107080704 108072192 109495296 121581216 122706968 123182208 124322784 138045339 139863132 144096256 162108288 164242944 165763712 182371824 184060452 186484176 209794698 216144384 243162432 245413936 246364416 248645568 276090678 279726264 324216576 328485888 331527424 364743648 368120904 372968352 414136017 419589396 432288768 486324864 490827872 492728832 497291136 552181356 559452528 648433152 663054848 729487296 736241808 745936704 828272034 839178792 972649728 981655744 985457664 994582272 1104362712 1118905056 1242408051 1296866304 1326109696 1458974592 1472483616 1491873408 1656544068 1671882439 1678357584 1945299456 1963311488 1989164544 2208725424 2237810112 2484816102 2917949184 2944967232 2983746816 3313088136 3343764878 3356715168 3890598912 3926622976 3978329088 4417450848 4475620224 4969632204 5015647317 5835898368 5889934464 5967493632 6626176272 6687529756 6713430336 7853245952 8834901696 8951240448 9939264408 10031294634 11671796736 11779868928 11934987264 13252352544 13375059512 13426860672 15046941951 15706491904 17669803392 17902480896 19878528816 20062589268 23559737856 26504705088 26750119024 26853721344 30093883902 35339606784 35804961792 39757057632 40125178536 45140825853 47119475712 53009410176 53500238048 53707442688 60187767804 70679213568 79514115264 80250357072 90281651706 106018820352 107000476096 107414885376 120375535608 135422477559 141358427136 159028230528 160500714144 180563303412 212037640704 214000952192 240751071216 270844955118 318056461056 321001428288 361126606824 424075281408 428001904384 481502142432 541689910236 636112922112 642002856576 722253213648 856003808768 963004284864 1083379820472 1272225844224 1284005713152 1444506427296 1712007617536 1926008569728 2166759640944 2568011426304 2889012854592 3852017139456 4333519281888 5136022852608 5778025709184 7704034278912 8667038563776 11556051418368 15408068557824 17334077127552 23112102836736 34668154255104 46224205673472 69336308510208 138672617020416
• Sum of all divisors σ(n): 418261566660080
• Sum of proper divisors (its aliquot sum) s(n): 279588949639664
• 138672617020416 is an abundant number, because the sum of its proper divisors (279588949639664) is greater than itself. Its abundance is 140916332619248

Bases of 138672617020416

• Binary: 11111100001111100111100000100111101110000000000₂
• Hexadecimal: 0x7E1F3C13DC00
• Base-36: 1D5LBJR400

Squares and roots of 138672617020416

• 138672617020416 squared (138672617020416²) is 19230094711290969297760813056
• 138672617020416 cubed (138672617020416³) is 2666687559165179774612860615706372311351296
• The square root of 138672617020416 is 11775933.8067270063
• The cube root of 138672617020416 is 51760.3141890125

Scales and comparisons

• 138,672,617,020,416 seconds is equal to 4,409,360 years, 14 weeks, 3 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,672,617,020,416 would take you about eleven million, twenty-three thousand, four hundred 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 138672617020416 cubic inches would be around 4313.4 feet tall.

Recreational maths with 138672617020416

• 138672617020416 backwards is 614020716276831
• 138672617020416 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138672617020416's digits is 54
• More coming soon!