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426679144031 = 7411937703041
BaseRepresentation
bin1100011010110000000…
…11110000111001011111
31111210100000002022101102
412031120003300321133
523442314330102111
6524002542503315
742553335612020
oct6153003607137
91453300068342
10426679144031
11154a54287168
126a839b94b3b
133130a9cb1ba
1416919562c47
15b173c0013b
hex63580f0e5f

426679144031 has 16 divisors (see below), whose sum is σ = 502115089728. Its totient is φ = 354956083200.

The previous prime is 426679144027. The next prime is 426679144033. The reversal of 426679144031 is 130441976624.

It is a cyclic number.

It is not a de Polignac number, because 426679144031 - 22 = 426679144027 is a prime.

It is a super-3 number, since 3×4266791440313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426679144033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3796130 + ... + 3906911.

It is an arithmetic number, because the mean of its divisors is an integer number (31382193108).

Almost surely, 2426679144031 is an apocalyptic number.

426679144031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

426679144031 is a deficient number, since it is larger than the sum of its proper divisors (75435945697).

426679144031 is a wasteful number, since it uses less digits than its factorization.

426679144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703282.

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 426679144031 in words is "four hundred twenty-six billion, six hundred seventy-nine million, one hundred forty-four thousand, thirty-one".

Divisors: 1 7 41 193 287 1351 7913 55391 7703041 53921287 315824681 1486686913 2210772767 10406808391 60954163433 426679144031