48142290648088288

Names of 48142290648088288

• Cardinal: 48142290648088288 can be written as Forty-eight quadrillion, one hundred forty-two trillion, two hundred ninety billion, six hundred forty-eight million, eighty-eight thousand, two hundred eighty-eight.

Scientific notation

• Scientific notation: 4.8142290648088288 × 10¹⁶

Factors of 48142290648088288

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 315

Divisors of 48142290648088288

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 32 47 73 94 146 188 193 292 376 386 584 752 772 1168 1504 1544 2209 2336 3088 3431 4418 5329 6176 6862 8836 9071 10658 13724 14089 17672 18142 21316 27448 28178 35344 36284 37249 42632 54896 56356 70688 72568 74498 85264 103823 109792 112712 145136 148996 161257 170528 207646 225424 250463 290272 297992 322514 389017 415292 426337 450848 500926 595984 645028 662183 778034 830584 852674 1001852 1028497 1191968 1290056 1324366 1556068 1661168 1705348 1750703 2003704 2056994 2580112 2648732 2719177 3112136 3322336 3410696 3501406 4007408 4113988 5160224 5297464 5438354 6224272 6821392 7002812 7579079 8014816 8227976 10594928 10876708 11771761 12448544 13642784 14005624 15158158 16455952 18283799 20037839 21189856 21753416 23543522 28011248 30316316 31122601 32911904 36567598 40075678 43506832 47087044 48339359 56022496 60632632 62245202 73135196 75080281 80151356 82283041 87013664 94174088 96678718 121265264 124490404 127801319 146270392 150160562 160302712 164566082 188348176 193357436 198499921 242530528 248980808 255602638 292540784 300321124 320605424 329132164 376696352 386714872 396999842 497961616 511205276 553272767 585081568 600642248 641210848 658264328 773429744 793999684 859338553 995923232 1022410552 1106545534 1201284496 1316528656 1462762247 1546859488 1587999368 1718677106 2044821104 2213091068 2271949873 2402568992 2633057312 2925524494 3175998736 3437354212 3528773207 3867302927 4089642208 4426182136 4543899746 5851048988 6006661993 6351997472 6874708424 7057546414 7734605854 8852364272 9087799492 9329496287 11702097976 12013323986 13749416848 14115092828 14490494233 15469211708 17704728544 18175598984 18658992574 23404195952 24026647972 27498833696 28230185656 28980988466 30938423416 36351197968 37317985148 40388911991 46808391904 48053295944 56460371312 57961976932 61876846832 72702395936 74635970296 80777823982 96106591888 106781644031 112920742624 115923953864 123753693664 149271940592 161555647964 165852340729 192213183776 213563288062 231847907728 282313113671 298543881184 323111295928 331704681458 427126576124 438486325489 463695815456 564626227342 646222591856 663409362916 681053228951 854253152248 876972650978 1129252454684 1292445183712 1326818725832 1362106457902 1708506304496 1753945301956 2258504909368 2653637451664 2724212915804 3417012608992 3507890603912 4517009818736 5307274903328 5448425831608 7015781207824 7795060014263 9034019637472 10896851663216 14031562415648 15590120028526 20608857297983 21793703326432 31180240057052 32009501760697 41217714595966 62360480114104 64019003521394 82435429191932 124720960228208 128038007042788 164870858383864 249441920456416 256076014085576 329741716767728 512152028171152 659483433535456 1024304056342304 1504446582752759 3008893165505518 6017786331011036 12035572662022072 24071145324044144 48142290648088288
• Sum of all divisors σ(n): 98696926175702400
• Sum of proper divisors (its aliquot sum) s(n): 50554635527614112
• 48142290648088288 is an abundant number, because the sum of its proper divisors (50554635527614112) is greater than itself. Its abundance is 2412344879525824

Bases of 48142290648088288

• Binary: 10101011000010010010100010000100110000001011111011100000₂
• Hexadecimal: 0xAB092884C0BEE0
• Base-36: D610N06RFTS

Squares and roots of 48142290648088288

• 48142290648088288 squared (48142290648088288²) is 2317680148845009033017469042770944
• 48142290648088288 cubed (48142290648088288³) is 111578431355000949716693651275928175644179873103872
• The square root of 48142290648088288 is 219413515.1901274471
• The cube root of 48142290648088288 is 363782.8743951805

Scales and comparisons

• 48,142,290,648,088,288 seconds is equal to 1,530,775,928 years, 37 weeks, 5 days, 13 hours, 51 minutes, 28 seconds.
• To count from 1 to 48,142,290,648,088,288 would take you about four billion, five hundred ninety-two million, three hundred twenty-seven thousand, seven hundred eighty-six 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 48142290648088288 cubic inches would be around 30315.2 feet tall.

Recreational maths with 48142290648088288

• 48142290648088288 backwards is 88288084609224184
• The number of decimal digits it has is: 17
• The sum of 48142290648088288's digits is 82
• More coming soon!