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4044295083168 = 25349716085557
BaseRepresentation
bin111010110110100010110…
…001011001010010100000
3112022122000212201001220000
4322312202301121102200
51012230204020130133
612333531251220000
7565122255001224
oct72664261312240
915278025631800
104044295083168
11131a1a315a21a
1255398a2a7600
132344b5968512
14dda60114784
1570304aa4413
hex3ada2c594a0

4044295083168 has 120 divisors (see below), whose sum is σ = 12016780446132. Its totient is φ = 1334200356864.

The previous prime is 4044295083139. The next prime is 4044295083229. The reversal of 4044295083168 is 8613805924404.

4044295083168 is a `hidden beast` number, since 4 + 0 + 4 + 42 + 9 + 508 + 31 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4028482523664 + 15812559504 = 2007108^2 + 125748^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7791355 + ... + 8294202.

Almost surely, 24044295083168 is an apocalyptic number.

4044295083168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4044295083168 is an abundant number, since it is smaller than the sum of its proper divisors (7972485362964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4044295083168 is a wasteful number, since it uses less digits than its factorization.

4044295083168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085676 (or 16085659 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4044295083168 in words is "four trillion, forty-four billion, two hundred ninety-five million, eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 108 144 162 194 216 288 291 324 388 432 582 648 776 864 873 1164 1296 1552 1746 2328 2592 2619 3104 3492 4656 5238 6984 7857 9312 10476 13968 15714 20952 27936 31428 41904 62856 83808 125712 251424 16085557 32171114 48256671 64342228 96513342 128684456 144770013 193026684 257368912 289540026 386053368 434310039 514737824 579080052 772106736 868620078 1158160104 1302930117 1544213472 1560299029 1737240156 2316320208 2605860234 3120598058 3474480312 4632640416 4680897087 5211720468 6241196116 6948960624 9361794174 10423440936 12482392232 13897921248 14042691261 18723588348 20846881872 24964784464 28085382522 37447176696 41693763744 42128073783 49929568928 56170765044 74894353392 84256147566 112341530088 126384221349 149788706784 168512295132 224683060176 252768442698 337024590264 449366120352 505536885396 674049180528 1011073770792 1348098361056 2022147541584 4044295083168