90146254863168

Names of 90146254863168

• Cardinal: 90146254863168 can be written as Ninety trillion, one hundred forty-six billion, two hundred fifty-four million, eight hundred sixty-three thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 9.0146254863168 × 10¹³

Factors of 90146254863168

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 19793

Divisors of 90146254863168

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 136 144 153 168 192 204 224 233 238 252 272 288 289 306 336 357 408 448 466 476 504 544 576 578 612 672 699 714 816 867 932 952 1008 1071 1088 1156 1224 1344 1398 1428 1631 1632 1734 1864 1904 2016 2023 2097 2142 2312 2448 2601 2796 2856 3262 3264 3468 3728 3808 3961 4032 4046 4194 4284 4624 4893 4896 4913 5202 5592 5712 6069 6524 6936 7456 7616 7922 8092 8388 8568 9248 9786 9792 9826 10404 11184 11424 11883 12138 13048 13872 14679 14739 14912 15844 16184 16776 17136 18207 18496 19531 19572 19652 20808 22368 22848 23766 24276 26096 27727 27744 29358 29478 31688 32368 33552 34272 34391 35649 36414 39062 39144 39304 41616 44217 44736 47532 48552 52192 55454 55488 58593 58716 58956 63376 64736 67104 67337 68544 68782 71298 72828 78124 78288 78608 83181 83232 88434 95064 97104 103173 104384 110908 117186 117432 117912 126752 129472 134208 134674 136717 137564 142596 145656 156248 156576 157216 166362 166464 175779 176868 190128 194208 202011 206346 221816 234372 234864 235824 249543 253504 269348 273434 275128 285192 291312 309519 312496 313152 314432 332027 332724 351558 353736 380256 388416 404022 410151 412692 443632 468744 469728 471359 471648 499086 538696 546868 550256 570384 582624 606033 619038 624992 664054 665448 703116 707472 760512 808044 820302 825384 887264 937488 939456 942718 943296 996081 998172 1077392 1093736 1100512 1140768 1144729 1165248 1212066 1230453 1238076 1249984 1328108 1330896 1406232 1414077 1414944 1616088 1640604 1650768 1774528 1874976 1885436 1992162 1996344 2154784 2187472 2201024 2281536 2289458 2324189 2424132 2460906 2476152 2656216 2661792 2812464 2828154 2829888 2988243 3232176 3281208 3301536 3434187 3749952 3770872 3984324 3992688 4242231 4309568 4374944 4550723 4578916 4648378 4848264 4921812 4952304 5312432 5323584 5624928 5644459 5656308 5976486 6464352 6562416 6603072 6868374 6972567 7541744 7968648 7985376 8013103 8484462 8749888 9101446 9157832 9296756 9696528 9843624 9904608 10302561 10624864 11249856 11288918 11312616 11952972 12928704 13124832 13652169 13736748 13945134 15083488 15937296 15970752 16026206 16933377 16968924 18202892 18315664 18593512 19393056 19687248 19809216 20605122 20917701 21249728 22577836 22625232 23905944 24039309 26249664 27304338 27473496 27890268 30166976 31855061 31874592 32052412 33866754 33937848 36405784 36631328 37187024 38786112 39374496 39511213 40956507 41210244 41835402 45155672 45250464 47811888 48078618 50800131 54608676 54946992 55780536 63710122 63749184 64104824 67733508 67875696 72117927 72811568 73262656 74374048 77362291 78748992 79022426 81913014 82420488 83670804 90311344 90500928 95565183 95623776 95955803 96157236 101600262 109217352 109893984 111561072 118533639 127420244 128209648 135467016 135751392 144235854 145623136 148748096 154724582 158044852 163826028 164840976 167341608 180622688 191130366 191247552 191911606 192314472 203200524 218434704 219787968 223122144 232086873 237067278 254840488 256419296 270934032 271502784 286695549 287867409 288471708 291246272 309449164 316089704 327652056 329681952 334683216 355600917 361245376 382260732 383823212 384628944 406401048 436869408 446244288 464173746 474134556 509680976 512838592 541536037 541868064 573391098 575734818 576943416 618898328 632179408 655304112 659363904 669366432 671690621 696260619 711201834 764521464 767646424 769257888 812802096 863602227 873738816 928347492 948269112 1019361952 1083072074 1083736128 1146782196 1151469636 1153886832 1237796656 1264358816 1310608224 1315158947 1338732864 1343381242 1392521238 1422403668 1529042928 1535292848 1538515776 1624608111 1625604192 1727204454 1856694984 1896538224 2015071863 2038723904 2166144148 2293564392 2302939272 2307773664 2475593312 2528717632 2621216448 2630317894 2686762484 2785042476 2844807336 3058085856 3070585696 3249216222 3251208384 3454408908 3713389968 3793076448 3945476841 4030143726 4332288296 4587128784 4605878544 4615547328 4873824333 4951186624 5260635788 5373524968 5570084952 5689614672 6045215589 6116171712 6141171392 6498432444 6908817816 7426779936 7586152896 7890953682 8060287452 8664576592 9174257568 9206112629 9211757088 9747648666 10521271576 10747049936 11140169904 11379229344 11836430523 12090431178 12996864888 13817635632 14853559872 15781907364 16120574904 17329153184 18348515136 18412225258 18423514176 19495297332 21042543152 21494099872 22280339808 22357702099 22758458688 23672861046 24180862356 25993729776 27618337887 27635271264 31563814728 32241149808 34658306368 36824450516 38990594664 42085086304 42988199744 44560679616 44715404198 47345722092 48361724712 51987459552 55236675774 55270542528 63127629456 64482299616 67073106297 73648901032 77981189328 82855013661 84170172608 89430808396 94691444184 96723449424 103974919104 110473351548 126255258912 128964599232 134146212594 147297802064 155962378656 156503914693 165710027322 178861616792 189382888368 193446898848 201219318891 220946703096 252510517824 268292425188 294595604128 311924757312 313007829386 331420054644 357723233584 378765776736 386893797696 402438637782 441893406192 469511744079 536584850376 589191208256 626015658772 662840109288 715446467168 757531553472 804877275564 883786812384 939023488158 1073169700752 1252031317544 1325680218576 1408535232237 1430892934336 1609754551128 1767573624768 1878046976316 2146339401504 2504062635088 2651360437152 2817070464474 3219509102256 3756093952632 4292678803008 5008125270176 5302720874304 5634140928948 6439018204512 7512187905264 10016250540352 11268281857896 12878036409024 15024375810528 22536563715792 30048751621056 45073127431584 90146254863168
• Sum of all divisors σ(n): 315115768730880
• Sum of proper divisors (its aliquot sum) s(n): 224969513867712
• 90146254863168 is an abundant number, because the sum of its proper divisors (224969513867712) is greater than itself. Its abundance is 134823259004544

Bases of 90146254863168

• Binary: 10100011111110011001111011111111011101101000000₂
• Hexadecimal: 0x51FCCF7FBB40
• Base-36: VYCM8MZ40

Squares and roots of 90146254863168

• 90146254863168 squared (90146254863168²) is 8126347265855240290402996224
• 90146254863168 cubed (90146254863168³) is 732559771734394935223438310956318340677632
• The square root of 90146254863168 is 9494538.1595508899
• The cube root of 90146254863168 is 44838.3094108789

Scales and comparisons

• 90,146,254,863,168 seconds is equal to 2,866,372 years, 3 weeks, 2 days, 6 hours, 52 minutes, 48 seconds.
• To count from 1 to 90,146,254,863,168 would take you about seven million, one hundred sixty-five thousand, nine hundred thirty 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 90146254863168 cubic inches would be around 3736.5 feet tall.

Recreational maths with 90146254863168

• 90146254863168 backwards is 86136845264109
• 90146254863168 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 90146254863168's digits is 63
• More coming soon!