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14997431296 = 210432892
BaseRepresentation
bin11011111011110101…
…01010010000000000
31102201012022110002101
431331322222100000
5221203320300141
610520103000144
71040436030331
oct157572522000
942635273071
1014997431296
1163a6728121
122aa6739054
131550159b03
14a23b56288
155cb9a8531
hex37deaa400

14997431296 has 99 divisors (see below), whose sum is σ = 31042392681. Its totient is φ = 7242031104.

The previous prime is 14997431279. The next prime is 14997431299. The reversal of 14997431296 is 69213479941.

The square root of 14997431296 is 122464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2879824896 + 12117606400 = 53664^2 + 110080^2 .

It is not an unprimeable number, because it can be changed into a prime (14997431299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 168510420 + ... + 168510508.

Almost surely, 214997431296 is an apocalyptic number.

14997431296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14997431296 is the 122464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14997431296

14997431296 is an abundant number, since it is smaller than the sum of its proper divisors (16044961385).

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

14997431296 is an frugal number, since it uses more digits than its factorization.

14997431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 134 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The spelling of 14997431296 in words is "fourteen billion, nine hundred ninety-seven million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 89 128 172 178 256 344 356 512 688 712 1024 1376 1424 1849 2752 2848 3698 3827 5504 5696 7396 7654 7921 11008 11392 14792 15308 15842 22016 22784 29584 30616 31684 44032 45568 59168 61232 63368 91136 118336 122464 126736 164561 236672 244928 253472 329122 340603 473344 489856 506944 658244 681206 946688 979712 1013888 1316488 1362412 1893376 1959424 2027776 2632976 2724824 3918848 4055552 5265952 5449648 8111104 10531904 10899296 14645929 21063808 21798592 29291858 42127616 43597184 58583716 84255232 87194368 117167432 168510464 174388736 234334864 348777472 468669728 937339456 1874678912 3749357824 7498715648 14997431296