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1426414662976 = 26374114691977
BaseRepresentation
bin10100110000011100111…
…100000111010101000000
312001100211021211201001211
4110300130330013111000
5141332244123203401
63011141424335504
7205024612404202
oct24603474072500
95040737751054
101426414662976
114aaa36988576
121b0547474594
13a4683253c74
144d078800772
1527187121951
hex14c1cf07540

1426414662976 has 56 divisors (see below), whose sum is σ = 2977946404776. Its totient is φ = 677006254080.

The previous prime is 1426414662931. The next prime is 1426414662983. The reversal of 1426414662976 is 6792664146241.

It can be written as a sum of positive squares in 4 ways, for example, as 416437902400 + 1009976760576 = 645320^2 + 1004976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1426414662976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7248901 + ... + 7443076.

It is an arithmetic number, because the mean of its divisors is an integer number (53177614371).

Almost surely, 21426414662976 is an apocalyptic number.

1426414662976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1426414662976 is an abundant number, since it is smaller than the sum of its proper divisors (1551531741800).

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

1426414662976 is a wasteful number, since it uses less digits than its factorization.

1426414662976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692067 (or 14692057 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 58.

The spelling of 1426414662976 in words is "one trillion, four hundred twenty-six billion, four hundred fourteen million, six hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 24272 48544 97088 14691977 29383954 58767908 117535816 235071632 470143264 543603149 602371057 940286528 1087206298 1204742114 2174412596 2409484228 4348825192 4818968456 8697650384 9637936912 17395300768 19275873824 22287729109 34790601536 38551747648 44575458218 89150916436 178301832872 356603665744 713207331488 1426414662976