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10144394151 = 331971124531
BaseRepresentation
bin10010111001010011…
…10010101110100111
3222011222110121122220
421130221302232213
5131233431103101
64354341323423
7506246633103
oct113451625647
928158417586
1010144394151
114336278521
121b71406573
13c588a58b8
146c33cc903
153e58d1636
hex25ca72ba7

10144394151 has 16 divisors (see below), whose sum is σ = 14106129408. Its totient is φ = 6477292800.

The previous prime is 10144394129. The next prime is 10144394153. The reversal of 10144394151 is 15149344101.

It is a happy number.

It is not a de Polignac number, because 10144394151 - 211 = 10144392103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144394153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553245 + ... + 571286.

It is an arithmetic number, because the mean of its divisors is an integer number (881633088).

Almost surely, 210144394151 is an apocalyptic number.

10144394151 is a deficient number, since it is larger than the sum of its proper divisors (3961735257).

10144394151 is a wasteful number, since it uses less digits than its factorization.

10144394151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124662.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10144394151 in words is "ten billion, one hundred forty-four million, three hundred ninety-four thousand, one hundred fifty-one".

Divisors: 1 3 31 93 97 291 3007 9021 1124531 3373593 34860461 104581383 109079507 327238521 3381464717 10144394151