90852842007984

Names of 90852842007984

• Cardinal: 90852842007984 can be written as Ninety trillion, eight hundred fifty-two billion, eight hundred forty-two million, seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 9.0852842007984 × 10¹³

Factors of 90852842007984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 364108

Divisors of 90852842007984

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 37 38 42 48 49 56 57 74 76 84 98 111 112 114 133 147 148 151 152 168 196 222 228 259 266 294 296 302 304 336 392 399 444 453 456 518 532 588 592 604 703 777 784 798 888 906 912 931 1036 1057 1064 1176 1208 1406 1554 1596 1776 1812 1813 1862 2072 2109 2114 2128 2352 2416 2793 2812 2869 3108 3171 3192 3624 3626 3724 4144 4218 4228 4921 5439 5586 5587 5624 5738 6216 6342 6384 7248 7252 7399 7448 8436 8456 8607 9842 10878 11172 11174 11248 11476 12432 12684 14504 14763 14798 14896 16761 16872 16912 17214 19684 20083 21756 22197 22344 22348 22952 25368 29008 29526 29596 33522 33744 34428 34447 39109 39368 40166 43512 44394 44688 44696 45904 50736 59052 59192 60249 67044 68856 68894 78218 78736 80332 87024 88788 89392 103341 106153 117327 118104 118384 120498 134088 137712 137788 140581 156436 160664 177576 206682 212306 234654 236208 240996 268176 273763 275576 281162 312872 318459 321328 355152 363889 413364 421743 424612 469308 481992 547526 551152 562324 625744 636918 727778 743071 821289 826728 843486 849224 938616 963984 1091667 1095052 1124648 1273836 1455556 1486142 1642578 1653456 1686972 1698448 1877232 2183334 2190104 2229213 2249296 2547223 2547672 2911112 2972284 3285156 3373944 4366668 4380208 4458426 5094446 5095344 5201497 5822224 5944568 6570312 6747888 6913891 7641669 8733336 8916852 10188892 10402994 11889136 13140624 13463893 13827782 15283338 15604491 17466672 17830561 17833704 20377784 20741673 20805988 26927786 27655564 30566676 31208982 35661122 35667408 40391679 40755568 41483346 41611976 48397237 53491683 53855572 54947239 55311128 61133352 62417964 71322244 80783358 82966692 83223952 94247251 96794474 106983366 107711144 109894478 110622256 122266704 124835928 142644488 145191711 161566716 164841717 165933384 188494502 193588948 213966732 215422288 219788956 249671856 255813967 282741753 285288976 290383422 323133432 329683434 331866768 338780659 376989004 384630673 387177896 427933464 439577912 511627934 565483506 580766844 646266864 659366868 659730757 677561318 753978008 767441901 769261346 774355792 855866928 879155824 1016341977 1023255868 1043997541 1130967012 1153892019 1161533688 1318733736 1319461514 1355122636 1507956016 1534883802 1538522692 1790697769 1979192271 2032683954 2033047843 2046511736 2087995082 2261934024 2307784038 2323067376 2637467472 2638923028 2692414711 2710245272 3069767604 3077045384 3131992623 3581395538 3958384542 4065367908 4066095686 4093023472 4175990164 4523868048 4615568076 5277846056 5372093307 5384829422 5420490544 6099143529 6139535208 6154090768 6263985246 7162791076 7307982787 7916769084 8077244133 8130735816 8132191372 8351980328 9231136152 10555692112 10744186614 10769658844 12198287058 12279070416 12527970492 12534884383 14231334901 14325582152 14615965574 15833538168 16154488266 16261471632 16264382744 16703960656 18462272304 21488373228 21539317688 21923948361 24396574116 25055940984 25069768766 28462669802 28651164304 29231931148 31667076336 32308976532 32528765488 37604653149 38627909017 42694004703 42976746456 43078635376 43847896722 48793148232 50111881968 50139537532 51155879509 56925339604 58463862296 64617953064 75209306298 77255818034 85388009406 85953492912 87695793444 97586296464 99619344307 100279075064 102311759018 113850679208 115883727051 116927724592 129235906128 150418612596 153467638527 154511636068 170776018812 175391586888 199238688614 200558150128 204623518036 227701358416 231767454102 270395363119 298858032921 300837225192 306935277054 309023272136 341552037624 350783173776 398477377228 409247036072 463534908204 540790726238 597716065842 601674450384 613870554108 618046544272 683104075248 796954754456 811186089357 818494072144 927069816408 1081581452476 1195432131684 1227741108216 1593909508912 1622372178714 1854139632816 1892767541833 2163162904952 2390864263368 2455482216432 3244744357428 3785535083666 4326325809904 4781728526736 5678302625499 6489488714856 7571070167332 11356605250998 12978977429712 15142140334664 22713210501996 30284280669328 45426421003992 90852842007984
• Sum of all divisors σ(n): 297114496550400
• Sum of proper divisors (its aliquot sum) s(n): 206261654542416
• 90852842007984 is an abundant number, because the sum of its proper divisors (206261654542416) is greater than itself. Its abundance is 115408812534432

Bases of 90852842007984

• Binary: 10100101010000101010011010111111110110110110000₂
• Hexadecimal: 0x52A1535FEDB0
• Base-36: W7D7WDPDC

Squares and roots of 90852842007984

• 90852842007984 squared (90852842007984²) is 8254238900927702181119744256
• 90852842007984 cubed (90852842007984³) is 749921062762140023069334282184835590139904
• The square root of 90852842007984 is 9531675.7187801977
• The cube root of 90852842007984 is 44955.1556561511

Scales and comparisons

• 90,852,842,007,984 seconds is equal to 2,888,839 years, 18 weeks, 1 day, 5 hours, 46 minutes, 24 seconds.
• To count from 1 to 90,852,842,007,984 would take you about seven million, two hundred twenty-two thousand and ninety-eight 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 90852842007984 cubic inches would be around 3746.3 feet tall.

Recreational maths with 90852842007984

• 90852842007984 backwards is 48970024825809
• The number of decimal digits it has is: 14
• The sum of 90852842007984's digits is 66
• More coming soon!