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14012033152 = 271353158881
BaseRepresentation
bin11010000110010111…
…01010100010000000
31100011112010000221211
431003023222202000
5212144040030102
610234222255504
71004142213415
oct150313524200
940145100854
1014012033152
115a40477997
122870727594
131423c62ca0
1496cd2a10c
1557020d7d7
hex3432ea880

14012033152 has 64 divisors (see below), whose sum is σ = 30629271960. Its totient is φ = 6345031680.

The previous prime is 14012033111. The next prime is 14012033177. The reversal of 14012033152 is 25133021041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8831488576 + 5180544576 = 93976^2 + 71976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8752 + ... + 167632.

Almost surely, 214012033152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15314635980).

14012033152 is an abundant number, since it is smaller than the sum of its proper divisors (16617238808).

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

14012033152 is a wasteful number, since it uses less digits than its factorization.

14012033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158961 (or 158949 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 14012033152 its reverse (25133021041), we get a palindrome (39145054193).

The spelling of 14012033152 in words is "fourteen billion, twelve million, thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 5512 6784 11024 22048 44096 88192 158881 317762 635524 1271048 2065453 2542096 4130906 5084192 8261812 8420693 10168384 16523624 16841386 20336768 33047248 33682772 66094496 67365544 109469009 132188992 134731088 218938018 264377984 269462176 437876036 538924352 875752072 1077848704 1751504144 3503008288 7006016576 14012033152