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14131503376 = 2411322632
BaseRepresentation
bin11010010100100110…
…11010000100010000
31100110211220202021221
431022103122010100
5212420131102001
610254131054424
71010122540204
oct151223320420
940424822257
1014131503376
115aa1957711
1228a4741414
131442932a23
14980b48b04
1557a95c1a1
hex34a4da110

14131503376 has 45 divisors (see below), whose sum is σ = 27729665509. Its totient is φ = 6976594688.

The previous prime is 14131503371. The next prime is 14131503437. The reversal of 14131503376 is 67330513141.

The square root of 14131503376 is 118876.

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., 249008400 + 13882494976 = 15780^2 + 117824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14131503371) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 53731821 + ... + 53732083.

Almost surely, 214131503376 is an apocalyptic number.

14131503376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14131503376 is the 118876-th square number.

It is an amenable number.

14131503376 is a deficient number, since it is larger than the sum of its proper divisors (13598162133).

14131503376 is an frugal number, since it uses more digits than its factorization.

14131503376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 14131503376 in words is "fourteen billion, one hundred thirty-one million, five hundred three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 113 226 263 452 526 904 1052 1808 2104 4208 12769 25538 29719 51076 59438 69169 102152 118876 138338 204304 237752 276676 475504 553352 1106704 3358247 6716494 7816097 13432988 15632194 26865976 31264388 53731952 62528776 125057552 883218961 1766437922 3532875844 7065751688 14131503376