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12014322144 = 2531117669247
BaseRepresentation
bin10110011000001110…
…00000000111100000
31011000022001210122020
423030013000013200
5144101131302034
65304100341440
7603504024156
oct131407000740
934008053566
1012014322144
115105854060
1223b36a4880
13119610a776
1481d8a93d6
154a4b4e249
hex2cc1c01e0

12014322144 has 96 divisors (see below), whose sum is σ = 36428507136. Its totient is φ = 3426539520.

The previous prime is 12014322143. The next prime is 12014322169. The reversal of 12014322144 is 44122341021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014322143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316672 + ... + 352575.

It is an arithmetic number, because the mean of its divisors is an integer number (379463616).

Almost surely, 212014322144 is an apocalyptic number.

It is an amenable number.

12014322144 is an abundant number, since it is smaller than the sum of its proper divisors (24414184992).

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

12014322144 is a wasteful number, since it uses less digits than its factorization.

12014322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669288 (or 669280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12014322144 its reverse (44122341021), we get a palindrome (56136663165).

It can be divided in two parts, 1201432 and 2144, that added together give a triangular number (1203576 = T1551).

The spelling of 12014322144 in words is "twelve billion, fourteen million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 669247 1338494 2007741 2676988 4015482 5353976 7361717 8030964 10707952 11377199 14723434 16061928 21415904 22085151 22754398 29446868 32123856 34131597 44170302 45508796 58893736 64247712 68263194 88340604 91017592 117787472 125149189 136526388 176681208 182035184 235574944 250298378 273052776 353362416 364070368 375447567 500596756 546105552 706724832 750895134 1001193512 1092211104 1501790268 2002387024 3003580536 4004774048 6007161072 12014322144