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14460321944929 = 72107250772
BaseRepresentation
bin1101001001101100111001…
…0110100101010101100001
31220012101121200212121220211
43102123032112211111201
53343404214404214204
650430551415534121
73021503154335200
oct322331626452541
956171550777824
1014460321944929
114675651838033
12175661068a341
1380b7aa931a13
1437dc51b6b237
151a122d440804
hexd26ce5a5561

14460321944929 has 27 divisors (see below), whose sum is σ = 16983212580243. Its totient is φ = 12276306142128.

The previous prime is 14460321944921. The next prime is 14460321944941. The reversal of 14460321944929 is 92944912306441.

It is a happy number.

The square root of 14460321944929 is 3802673.

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

14460321944929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14053089075025 + 407232869904 = 3748745^2 + 638148^2 .

It is not a de Polignac number, because 14460321944929 - 23 = 14460321944921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14460321944921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2848199539 + ... + 2848204615.

Almost surely, 214460321944929 is an apocalyptic number.

14460321944929 is the 3802673-rd square number.

14460321944929 is the 1901337-th centered octagonal number.

It is an amenable number.

14460321944929 is a deficient number, since it is larger than the sum of its proper divisors (2522890635314).

14460321944929 is an frugal number, since it uses more digits than its factorization.

14460321944929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 14460321944929 in words is "fourteen trillion, four hundred sixty billion, three hundred twenty-one million, nine hundred forty-four thousand, nine hundred twenty-nine".

Divisors: 1 7 49 107 749 5077 5243 11449 35539 80143 248773 543239 561001 3802673 25775929 26618711 58126573 180431503 406886011 1263020521 2758024403 2848202077 19306170821 135143195747 295108611121 2065760277847 14460321944929