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12313452144 = 2437107342497
BaseRepresentation
bin10110111011111000…
…00101111001110000
31011210010221011212010
423131330011321300
5200204220432034
65353504002520
7614065421250
oct133574057160
934703834763
1012313452144
115249693934
122477900440
131213092576
1484b4d3960
154c103a3e9
hex2ddf05e70

12313452144 has 80 divisors (see below), whose sum is σ = 36693865728. Its totient is φ = 3485239296.

The previous prime is 12313452143. The next prime is 12313452149. The reversal of 12313452144 is 44125431321.

It is a super-2 number, since 2×123134521442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313452143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135297 + ... + 207200.

Almost surely, 212313452144 is an apocalyptic number.

12313452144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12313452144 is an abundant number, since it is smaller than the sum of its proper divisors (24380413584).

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

12313452144 is a wasteful number, since it uses less digits than its factorization.

12313452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342622 (or 342616 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 12313452144 its reverse (44125431321), we get a palindrome (56438883465).

The spelling of 12313452144 in words is "twelve billion, three hundred thirteen million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 35952 342497 684994 1027491 1369988 2054982 2397479 2739976 4109964 4794958 5479952 7192437 8219928 9589916 14384874 16439856 19179832 28769748 36647179 38359664 57539496 73294358 109941537 115078992 146588716 219883074 256530253 293177432 439766148 513060506 586354864 769590759 879532296 1026121012 1539181518 1759064592 2052242024 3078363036 4104484048 6156726072 12313452144