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1814400644147 = 713316311019297
BaseRepresentation
bin11010011001110010101…
…101001011010000110011
320102110021200220200111022
4122121302231023100303
5214211343031103042
63505305114410055
7245041353003230
oct32316255132063
96373250820438
101814400644147
1163a534953793
1225378713092b
1310213585c910
1463b63176787
15322e3e2acd2
hex1a672b4b433

1814400644147 has 32 divisors (see below), whose sum is σ = 2308799668224. Its totient is φ = 1387057996800.

The previous prime is 1814400644123. The next prime is 1814400644153. The reversal of 1814400644147 is 7414460044181.

It is not a de Polignac number, because 1814400644147 - 210 = 1814400643123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1814400644098 and 1814400644107.

It is not an unprimeable number, because it can be changed into a prime (1814400644107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270403 + ... + 2289699.

It is an arithmetic number, because the mean of its divisors is an integer number (72149989632).

Almost surely, 21814400644147 is an apocalyptic number.

1814400644147 is a deficient number, since it is larger than the sum of its proper divisors (494399024077).

1814400644147 is a wasteful number, since it uses less digits than its factorization.

1814400644147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019979.

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 1814400644147 in words is "one trillion, eight hundred fourteen billion, four hundred million, six hundred forty-four thousand, one hundred forty-seven".

Divisors: 1 7 13 31 91 217 403 631 2821 4417 8203 19561 57421 136927 254293 1019297 1780051 7135079 13250861 31598207 92756027 221187449 410776691 643176407 2875436837 4502234849 8361293291 19938468617 58529053037 139569280319 259200092021 1814400644147