90157899992624640

Names of 90157899992624640

• Cardinal: 90157899992624640 can be written as Ninety quadrillion, one hundred fifty-seven trillion, eight hundred ninety-nine billion, nine hundred ninety-two million, six hundred twenty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 9.015789999262464 × 10¹⁶

Factors of 90157899992624640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 118578887848

Divisors of 90157899992624640

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 128 132 135 144 160 165 176 180 192 198 216 220 240 256 264 270 288 297 320 330 352 360 384 396 432 440 480 495 512 528 540 576 594 640 660 704 720 768 792 864 880 960 990 1056 1080 1152 1188 1280 1320 1408 1440 1485 1536 1584 1728 1760 1920 1980 2112 2160 2304 2376 2560 2640 2816 2880 2970 3168 3456 3520 3840 3960 4224 4320 4608 4752 5280 5632 5760 5940 6336 6912 7040 7680 7920 8448 8640 9504 10560 11520 11880 12672 13824 14080 15840 16896 17280 19008 21120 23040 23760 25344 28160 31680 34560 38016 42240 47520 50688 63360 69120 76032 84480 95040 126720 152064 190080 253440 380160 760320 118578887827 237157775654 355736663481 474315551308 592894439135 711473326962 948631102616 1067209990443 1185788878270 1304367766097 1422946653924 1778683317405 1897262205232 2134419980886 2371577756540 2608735532194 2845893307848 3201629971329 3557366634810 3794524410464 3913103298291 4268839961772 4743155513080 5217471064388 5336049952215 5691786615696 6403259942658 6521838830485 7114733269620 7589048820928 7826206596582 8537679923544 9486311026160 10434942128776 10672099904430 11383573231392 11739309894873 12806519885316 13043677660970 14229466539240 15178097641856 15652413193164 16008149856645 17075359847088 18972622052320 19565516491455 20869884257552 21344199808860 22767146462784 23478619789746 25613039770632 26087355321940 28458933078480 30356195283712 31304826386328 32016299713290 34150719694176 35217929684619 37945244104640 39131032982910 41739768515104 42688399617720 45534292925568 46957239579492 51226079541264 52174710643880 56917866156960 58696549474365 60712390567424 62609652772656 64032599426580 68301439388352 70435859369238 75890488209280 78262065965820 83479537030208 85376799235440 91068585851136 93914479158984 102452159082528 104349421287760 113835732313920 117393098948730 125219305545312 128065198853160 136602878776704 140871718738476 151780976418560 156524131931640 166959074060416 170753598470880 176089648423095 182137171702272 187828958317968 204904318165056 208698842575520 227671464627840 234786197897460 250438611090624 256130397706320 273205757553408 281743437476952 303561952837120 313048263863280 333918148120832 341507196941760 352179296846190 375657916635936 409808636330112 417397685151040 455342929255680 469572395794920 500877222181248 512260795412640 546411515106816 563486874953904 626096527726560 667836296241664 683014393883520 704358593692380 751315833271872 819617272660224 834795370302080 910685858511360 939144791589840 1001754444362496 1024521590825280 1126973749907808 1252193055453120 1366028787767040 1408717187384760 1502631666543744 1639234545320448 1669590740604160 1878289583179680 2003508888724992 2049043181650560 2253947499815616 2504386110906240 2732057575534080 2817434374769520 3005263333087488 3339181481208320 3756579166359360 4098086363301120 4507894999631232 5008772221812480 5634868749539040 6010526666174976 7513158332718720 8196172726602240 9015789999262464 10017544443624960 11269737499078080 15026316665437440 18031579998524928 22539474998156160 30052633330874880 45078949996312320 90157899992624640
• Sum of all divisors σ(n): 349361862474366720
• Sum of proper divisors (its aliquot sum) s(n): 259203962481742080
• 90157899992624640 is an abundant number, because the sum of its proper divisors (259203962481742080) is greater than itself. Its abundance is 169046062489117440

Bases of 90157899992624640

• Binary: 101000000010011100010000111100010110000010110111000000000₂
• Hexadecimal: 0x1404E21E2C16E00
• Base-36: ONQB3H3M2O0

Squares and roots of 90157899992624640

• 90157899992624640 squared (90157899992624640²) is 8128446931080106061366395935129600
• 90157899992624640 cubed (90157899992624640³) is 732843705507676871912454417039061701915882553344000
• The square root of 90157899992624640 is 300263051.3277060535
• The cube root of 90157899992624640 is 448402.4007136081

Scales and comparisons

• 90,157,899,992,624,640 seconds is equal to 2,866,742,343 years, 3 weeks, 4 days, 14 hours, 24 minutes.
• To count from 1 to 90,157,899,992,624,640 would take you about eight billion, six hundred million, two hundred twenty-seven thousand and twenty-nine 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 90157899992624640 cubic inches would be around 37366.9 feet tall.

Recreational maths with 90157899992624640

• 90157899992624640 backwards is 04642629999875109
• 90157899992624640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90157899992624640's digits is 90
• More coming soon!