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1311045163136 = 2731418058647
BaseRepresentation
bin10011000101000000011…
…000011001100010000000
311122100000222202212122022
4103011000120121202000
5132440010030210021
62442141423501012
7163501631005232
oct23050030314200
94570028685568
101311045163136
114660138a7795
1219210a457768
13968284a5727
1447652454252
15241839361ab
hex13140619880

1311045163136 has 64 divisors (see below), whose sum is σ = 2761859842560. Its totient is φ = 618904012800.

The previous prime is 1311045163117. The next prime is 1311045163261. The reversal of 1311045163136 is 6313615401131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1311045163096 and 1311045163105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3866636 + ... + 4192011.

It is an arithmetic number, because the mean of its divisors is an integer number (43154060040).

Almost surely, 21311045163136 is an apocalyptic number.

1311045163136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311045163136 is an abundant number, since it is smaller than the sum of its proper divisors (1450814679424).

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

1311045163136 is an equidigital number, since it uses as much as digits as its factorization.

1311045163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058733 (or 8058721 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 1311045163136 in words is "one trillion, three hundred eleven billion, forty-five million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 10168 20336 40672 81344 162688 8058647 16117294 32234588 64469176 128938352 249818057 257876704 330404527 499636114 515753408 660809054 999272228 1031506816 1321618108 1998544456 2643236216 3997088912 5286472432 7994177824 10242540337 10572944864 15988355648 20485080674 21145889728 31976711296 40970161348 42291779456 81940322696 163880645392 327761290784 655522581568 1311045163136