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12323311440 = 2435114667921
BaseRepresentation
bin10110111101000011…
…01100111101010000
31011210211111002021020
423132201230331100
5200214231431230
65354455155440
7614245263456
oct133641547520
934724432236
1012323311440
115254208310
12247b075b80
13121513507b
1484c93c9d6
154c1d36810
hex2de86cf50

12323311440 has 80 divisors (see below), whose sum is σ = 41675207616. Its totient is φ = 2987468800.

The previous prime is 12323311433. The next prime is 12323311513. The reversal of 12323311440 is 4411332321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12323311440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2331321 + ... + 2336600.

Almost surely, 212323311440 is an apocalyptic number.

12323311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12323311440 is an abundant number, since it is smaller than the sum of its proper divisors (29351896176).

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

12323311440 is a wasteful number, since it uses less digits than its factorization.

12323311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667948 (or 4667942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12323311440 its reverse (4411332321), we get a palindrome (16734643761).

The spelling of 12323311440 in words is "twelve billion, three hundred twenty-three million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4667921 9335842 14003763 18671684 23339605 28007526 37343368 46679210 51347131 56015052 70018815 74686736 93358420 102694262 112030104 140037630 154041393 186716840 205388524 224060208 256735655 280075260 308082786 373433680 410777048 513471310 560150520 616165572 770206965 821554096 1026942620 1120301040 1232331144 1540413930 2053885240 2464662288 3080827860 4107770480 6161655720 12323311440