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404022142897824 = 25311419331627469
BaseRepresentation
bin101101111011101001011110…
…0010011110000111010100000
31221222112010202210201120111210
41123313102330103300322200
5410423444322040212244
63551141113220110120
7151046431224314043
oct13367227423607240
91858463683646453
10404022142897824
11107808912915120
1239392246235340
131445918097b799
1471aaac16c4c5a
1531a98230424b9
hex16f74bc4f0ea0

404022142897824 has 96 divisors (see below), whose sum is σ = 1185191341709760. Its totient is φ = 119444831590400.

The previous prime is 404022142897819. The next prime is 404022142897873. The reversal of 404022142897824 is 428798241220404.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4665770439 + ... + 4665857030.

It is an arithmetic number, because the mean of its divisors is an integer number (12345743142810).

Almost surely, 2404022142897824 is an apocalyptic number.

404022142897824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404022142897824 is an abundant number, since it is smaller than the sum of its proper divisors (781169198811936).

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

404022142897824 is a wasteful number, since it uses less digits than its factorization.

404022142897824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331627534 (or 9331627526 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 404022142897824 in words is "four hundred four trillion, twenty-two billion, one hundred forty-two million, eight hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 9331627469 18663254938 27994882407 37326509876 55989764814 74653019752 102647902159 111979529628 149306039504 205295804318 223959059256 298612079008 307943706477 382596726229 410591608636 447918118512 615887412954 765193452458 821183217272 895836237024 1147790178687 1231774825908 1530386904916 1642366434544 2295580357374 2463549651816 3060773809832 3284732869088 4208563988519 4591160714748 4927099303632 6121547619664 8417127977038 9182321429496 9854198607264 12243095239328 12625691965557 16834255954076 18364642858992 25251383931114 33668511908152 36729285717984 50502767862228 67337023816304 101005535724456 134674047632608 202011071448912 404022142897824