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1310400014256 = 243267135820897
BaseRepresentation
bin10011000100011001111…
…011010110011110110000
311122021101000210220202100
4103010121323112132300
5132432144400424011
62441553420020400
7163446635224554
oct23043173263660
94567330726670
101310400014256
114658127118a3
12191b6a391700
139675492c828
14475d08b7864
1524146e9ad56
hex13119ed67b0

1310400014256 has 60 divisors (see below), whose sum is σ = 3722035888792. Its totient is φ = 430280598528.

The previous prime is 1310400014251. The next prime is 1310400014279. The reversal of 1310400014256 is 6524100040131.

It is a happy number.

1310400014256 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 400 + 0 + 1 + 4 + 256 = 666.

1310400014256 is a modest number, since divided by 14256 gives 13104 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1310400014251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67900801 + ... + 67920096.

Almost surely, 21310400014256 is an apocalyptic number.

1310400014256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1310400014256 is an abundant number, since it is smaller than the sum of its proper divisors (2411635874536).

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

1310400014256 is a wasteful number, since it uses less digits than its factorization.

1310400014256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820978 (or 135820969 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1310400014256 its reverse (6524100040131), we get a palindrome (7834500054387).

The spelling of 1310400014256 in words is "one trillion, three hundred ten billion, four hundred million, fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 135820897 271641794 407462691 543283588 814925382 1086567176 1222388073 1629850764 2173134352 2444776146 3259701528 4889552292 6519403056 9100000099 9779104584 18200000198 19558209168 27300000297 36400000396 54600000594 72800000792 81900000891 109200001188 145600001584 163800001782 218400002376 327600003564 436800004752 655200007128 1310400014256