45946447147008

Names of 45946447147008

• Cardinal: 45946447147008 can be written as Forty-five trillion, nine hundred forty-six billion, four hundred forty-seven million, one hundred forty-seven thousand and eight.

Scientific notation

• Scientific notation: 4.5946447147008 × 10¹³

Factors of 45946447147008

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 39269

Divisors of 45946447147008

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 512 576 618 768 824 864 927 1024 1152 1236 1536 1648 1728 1854 2048 2304 2472 2781 3072 3296 3456 3708 4096 4608 4944 5562 6144 6592 6912 7416 9216 9888 10609 11124 12288 13184 13824 14832 18432 19776 21218 22248 26368 27648 29664 31827 36864 39161 39552 42436 44496 52736 55296 59328 63654 78322 79104 84872 88992 95481 105472 110592 117483 118656 127308 156644 158208 169744 177984 190962 210944 234966 237312 254616 286443 313288 316416 339488 352449 355968 381924 421888 469932 474624 509232 572886 626576 632832 678976 704898 711936 763848 939864 949248 1018464 1057347 1145772 1253152 1265664 1357952 1409796 1423872 1527696 1879728 1898496 2036928 2114694 2291544 2506304 2715904 2819592 2847744 3055392 3759456 3796992 4033583 4073856 4229388 4583088 5012608 5431808 5639184 5695488 6110784 7518912 8067166 8147712 8458776 9166176 10025216 10863616 11278368 11390976 12100749 12221568 15037824 16134332 16295424 16917552 18332352 20050432 21727232 22556736 24201498 24443136 30075648 32268664 32590848 33835104 36302247 36664704 40100864 43454464 45113472 48402996 48886272 60151296 64537328 65181696 67670208 72604494 73329408 80201728 90226944 96805992 97772544 108906741 120302592 129074656 130363392 135340416 145208988 146658816 160403456 180453888 193611984 195545088 217813482 240605184 258149312 270680832 290417976 293317632 360907776 387223968 391090176 415459049 435626964 481210368 516298624 541361664 580835952 586635264 721815552 774447936 830918098 871253928 1032597248 1082723328 1161671904 1173270528 1246377147 1443631104 1548895872 1661836196 1742507856 2065194496 2165446656 2323343808 2492754294 3097791744 3323672392 3485015712 3739131441 4130388992 4330893312 4646687616 4985508588 6195583488 6647344784 6970031424 7478262882 8260777984 9293375232 9971017176 11217394323 12391166976 13294689568 13940062848 14956525764 16521555968 18586750464 19942034352 22434788646 24782333952 26589379136 27880125696 29913051528 37173500928 39884068704 44869577292 49564667904 53178758272 55760251392 59826103056 74347001856 79768137408 89739154584 106357516544 111520502784 119652206112 148694003712 159536274816 179478309168 212715033088 223041005568 239304412224 319072549632 358956618336 425430066176 446082011136 478608824448 638145099264 717913236672 850860132352 957217648896 1276290198528 1435826473344 1701720264704 1914435297792 2552580397056 2871652946688 3828870595584 5105160794112 5743305893376 7657741191168 11486611786752 15315482382336 22973223573504 45946447147008
• Sum of all divisors σ(n): 137458906665840
• Sum of proper divisors (its aliquot sum) s(n): 91512459518832
• 45946447147008 is an abundant number, because the sum of its proper divisors (91512459518832) is greater than itself. Its abundance is 45566012371824

Bases of 45946447147008

• Binary: 1010011100100110111101101010010011000000000000₂
• Hexadecimal: 0x29C9BDA93000
• Base-36: GABI8BUO0

Squares and roots of 45946447147008

• 45946447147008 squared (45946447147008²) is 2111076005432799582763352064
• 45946447147008 cubed (45946447147008³) is 96996442106934899497723470213791468224512
• The square root of 45946447147008 is 6778380.8647056709
• The cube root of 45946447147008 is 35816.5687864789

Scales and comparisons

• 45,946,447,147,008 seconds is equal to 1,460,954 years, 46 weeks, 4 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 45,946,447,147,008 would take you about three million, six hundred fifty-two thousand, three hundred eighty-seven 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 45946447147008 cubic inches would be around 2984.7 feet tall.

Recreational maths with 45946447147008

• 45946447147008 backwards is 80074174464954
• The number of decimal digits it has is: 14
• The sum of 45946447147008's digits is 63
• More coming soon!