38688722013312

Names of 38688722013312

• Cardinal: 38688722013312 can be written as Thirty-eight trillion, six hundred eighty-eight billion, seven hundred twenty-two million, thirteen thousand, three hundred twelve.

Scientific notation

• Scientific notation: 3.8688722013312 × 10¹³

Factors of 38688722013312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5336789

Divisors of 38688722013312

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 31 32 36 42 48 56 58 62 63 64 72 84 87 93 96 112 116 124 126 128 144 168 174 186 192 203 217 224 232 248 252 261 279 288 336 348 372 384 406 434 448 464 496 504 522 558 576 609 651 672 696 744 812 868 896 899 928 992 1008 1044 1116 1152 1218 1302 1344 1392 1488 1624 1736 1798 1827 1856 1953 1984 2016 2088 2232 2436 2604 2688 2697 2784 2976 3248 3472 3596 3654 3712 3906 3968 4032 4176 4464 4872 5208 5394 5568 5952 6293 6496 6944 7192 7308 7812 8064 8091 8352 8928 9744 10416 10788 11136 11904 12586 12992 13888 14384 14616 15624 16182 16704 17856 18879 19488 20832 21576 25172 25984 27776 28768 29232 31248 32364 33408 35712 37758 38976 41664 43152 50344 56637 57536 58464 62496 64728 75516 77952 83328 86304 100688 113274 115072 116928 124992 129456 151032 172608 201376 226548 233856 249984 258912 302064 345216 402752 453096 517824 604128 805504 906192 1035648 1208256 1812384 2416512 3624768 5336717 7249536 10673434 16010151 21346868 32020302 37357019 42693736 48030453 64040604 74714038 85387472 96060906 112071057 128081208 149428076 154764793 165438227 170774944 192121812 224142114 256162416 298856152 309529586 330876454 336213171 341549888 384243624 448284228 464294379 496314681 512324832 597712304 619059172 661752908 672426342 683099776 768487248 896568456 928588758 992629362 1024649664 1083353551 1158067589 1195424608 1238118344 1323505816 1344852684 1392883137 1488944043 1536974496 1793136912 1857177516 1985258724 2049299328 2166707102 2316135178 2390849216 2476236688 2647011632 2689705368 2785766274 2977888086 3073948992 3250060653 3474202767 3586273824 3714355032 3970517448 4333414204 4632270356 4781698432 4797708583 4952473376 5294023264 5379410736 5571532548 5955776172 6147897984 6500121306 6948405534 7172547648 7428710064 7941034896 8666828408 9264540712 9595417166 9750181959 9904946752 10422608301 10588046528 10758821472 11143065096 11911552344 13000242612 13896811068 14345095296 14393125749 14857420128 15882069792 17333656816 18529081424 19190834332 19500363918 19809893504 20845216602 21176093056 21517642944 22286130192 23823104688 26000485224 27793622136 28786251498 29714840256 31764139584 33583960081 34667313632 37058162848 38381668664 39000727836 41690433204 43035285888 43179377247 44572260384 47646209376 52000970448 55587244272 57572502996 59429680512 63528279168 67167920162 69334627264 74116325696 76763337328 78001455672 83380866408 86358754494 89144520768 95292418752 100751880243 104001940896 111174488544 115145005992 134335840324 138669254528 148232651392 153526674656 156002911344 166761732816 172717508988 178289041536 190584837504 201503760486 208003881792 222348977088 230290011984 268671680648 302255640729 307053349312 312005822688 333523465632 345435017976 403007520972 416007763584 444697954176 460580023968 537343361296 604511281458 614106698624 624011645376 667046931264 690870035952 806015041944 921160047936 1074686722592 1209022562916 1248023290752 1334093862528 1381740071904 1612030083888 1842320095872 2149373445184 2418045125832 2763480143808 3224060167776 4298746890368 4836090251664 5526960287616 6448120335552 9672180503328 12896240671104 19344361006656 38688722013312
• Sum of all divisors σ(n): 135868570905600
• Sum of proper divisors (its aliquot sum) s(n): 97179848892288
• 38688722013312 is an abundant number, because the sum of its proper divisors (97179848892288) is greater than itself. Its abundance is 58491126878976

Bases of 38688722013312

• Binary: 1000110010111111101011100010000100110010000000₂
• Hexadecimal: 0x232FEB884C80
• Base-36: DPPCQ68W0

Squares and roots of 38688722013312

• 38688722013312 squared (38688722013312²) is 1496817211023332534705209344
• 38688722013312 cubed (38688722013312³) is 57909944982022678661907798963814114787328
• The square root of 38688722013312 is 6220025.8852606071
• The cube root of 38688722013312 is 33821.6502904387

Scales and comparisons

• 38,688,722,013,312 seconds is equal to 1,230,181 years, 35 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
• To count from 1 to 38,688,722,013,312 would take you about three million, seventy-five thousand, four hundred fifty-four 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 38688722013312 cubic inches would be around 2818.5 feet tall.

Recreational maths with 38688722013312

• 38688722013312 backwards is 21331022788683
• The number of decimal digits it has is: 14
• The sum of 38688722013312's digits is 54
• More coming soon!