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1310311311444 = 223391393132751
BaseRepresentation
bin10011000100010100101…
…000111110100001010100
311122021010211220100101000
4103010110220332201110
5132432004143431234
62441540530503300
7163444510244022
oct23042450764124
94567124810330
101310311311444
11465777637093
12191b44734b30
139673c443165
14475c2bc7712
152413e2c8899
hex13114a3e854

1310311311444 has 48 divisors (see below), whose sum is σ = 3397166160640. Its totient is φ = 436762368000.

The previous prime is 1310311311409. The next prime is 1310311311469. The reversal of 1310311311444 is 4441131130131.

1310311311444 is a `hidden beast` number, since 1 + 3 + 103 + 113 + 1 + 1 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 9804069 + ... + 9936819.

Almost surely, 21310311311444 is an apocalyptic number.

It is an amenable number.

1310311311444 is an abundant number, since it is smaller than the sum of its proper divisors (2086854849196).

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

1310311311444 is a wasteful number, since it uses less digits than its factorization.

1310311311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224157 (or 224149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1310311311444 its reverse (4441131130131), we get a palindrome (5751442441575).

The spelling of 1310311311444 in words is "one trillion, three hundred ten billion, three hundred eleven million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 91393 132751 182786 265502 274179 365572 398253 531004 548358 796506 822537 1096716 1194759 1593012 1645074 2389518 2467611 3290148 3584277 4779036 4935222 7168554 9870444 14337108 12132512143 24265024286 36397536429 48530048572 72795072858 109192609287 145590145716 218385218574 327577827861 436770437148 655155655722 1310311311444