45387738968846912

Names of 45387738968846912

• Cardinal: 45387738968846912 can be written as Forty-five quadrillion, three hundred eighty-seven trillion, seven hundred thirty-eight billion, nine hundred sixty-eight million, eight hundred forty-six thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 4.5387738968846912 × 10¹⁶

Factors of 45387738968846912

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 80

Divisors of 45387738968846912

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 67 88 121 134 176 242 268 352 484 536 704 737 968 1072 1331 1474 1936 2144 2662 2948 3872 4288 4489 5324 5896 7744 8107 8978 10648 11792 14641 16214 17956 21296 23584 29282 32428 35912 42592 47168 49379 58564 64856 71824 85184 89177 98758 117128 129712 143648 161051 178354 197516 234256 259424 287296 300763 322102 356708 395032 468512 518848 543169 601526 644204 713416 790064 937024 980947 1086338 1203052 1288408 1426832 1580128 1771561 1961894 2172676 2406104 2576816 2853664 3160256 3308393 3543122 3923788 4345352 4812208 5153632 5707328 5974859 6616786 7086244 7847576 8690704 9624416 10307264 10790417 11949718 13233572 14172488 15695152 17381408 19248832 19487171 21580834 23899436 26467144 28344976 31390304 34762816 36392323 38974342 43161668 47798872 52934288 56689952 62780608 65723449 72784646 77948684 86323336 95597744 105868576 113379904 118694587 131446898 145569292 155897368 172646672 191195488 211737152 214358881 237389174 262893796 291138584 311794736 345293344 382390976 400315553 428717762 474778348 525787592 582277168 623589472 690586688 722957939 800631106 857435524 949556696 1051575184 1164554336 1247178944 1305640457 1445915878 1601262212 1714871048 1899113392 2103150368 2329108672 2357947691 2611280914 2891831756 3202524424 3429742096 3798226784 4206300736 4403471083 4715895382 5222561828 5783663512 6405048848 6859484192 7596453568 7952537329 8806942166 9431790764 10445123656 11567327024 12810097696 13718968384 14362045027 15905074658 17613884332 18863581528 20890247312 23134654048 25620195392 28724090054 31810149316 35227768664 37727163056 41780494624 46269308096 48438181913 57448180108 63620298632 70455537328 75454326112 83560989248 87477910619 96876363826 114896360216 127240597264 140911074656 150908652224 157982495297 174955821238 193752727652 229792720432 254481194528 281822149312 315964990594 349911642476 387505455304 459585440864 508962389056 532820001043 631929981188 699823284952 775010910608 919170881728 962257016809 1065640002086 1263859962376 1399646569904 1550021821216 1924514033618 2131280004172 2527719924752 2799293139808 3100043642432 3849028067236 4262560008344 5055439849504 5598586279616 5861020011473 7698056134472 8525120016688 10110879699008 10584827184899 11722040022946 15396112268944 17050240033376 21169654369798 23444080045892 30792224537888 34100480066752 42339308739596 46888160091784 61584449075776 64471220126203 84678617479192 93776320183568 128942440252406 169357234958384 187552640367136 257884880504812 338714469916768 375105280734272 515769761009624 677428939833536 709183421388233 1031539522019248 1418366842776466 2063079044038496 2836733685552932 4126158088076992 5673467371105864 11346934742211728 22693869484423456 45387738968846912
• Sum of all divisors σ(n): 100574023881674400
• Sum of proper divisors (its aliquot sum) s(n): 55186284912827488
• 45387738968846912 is an abundant number, because the sum of its proper divisors (55186284912827488) is greater than itself. Its abundance is 9798545943980576

Bases of 45387738968846912

• Binary: 10100001001111111110100001111010011001010111001001000000₂
• Hexadecimal: 0xA13FE87A657240
• Base-36: CEWLZFLCWU8

Squares and roots of 45387738968846912

• 45387738968846912 squared (45387738968846912²) is 2060046848704184546594450891935744
• 45387738968846912 cubed (45387738968846912³) is 93500868632581195646858128783199724494663276822528
• The square root of 45387738968846912 is 213043983.6485576797
• 45387738968846912 is a perfect cube number. Its cube root is 356708

Scales and comparisons

• 45,387,738,968,846,912 seconds is equal to 1,443,189,705 years, 37 weeks, 1 day, 4 hours, 8 minutes, 32 seconds.
• To count from 1 to 45,387,738,968,846,912 would take you about four billion, three hundred twenty-nine million, five hundred sixty-nine thousand, one hundred seventeen 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 45387738968846912 cubic inches would be around 29725.7 feet tall.

Recreational maths with 45387738968846912

• 45387738968846912 backwards is 21964886983778354
• The number of decimal digits it has is: 17
• The sum of 45387738968846912's digits is 98
• More coming soon!