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10144740027 = 389349108869
BaseRepresentation
bin10010111001010110…
…00111001010111011
3222012000010012010010
421130223013022323
5131234023140102
64354352553003
7506252603352
oct113453071273
928160105103
1010144740027
114336494374
121b71552763
13c58997166
146c347c999
153e594dd6c
hex25cac72bb

10144740027 has 16 divisors (see below), whose sum is σ = 13717620000. Its totient is φ = 6667947264.

The previous prime is 10144740013. The next prime is 10144740079. The reversal of 10144740027 is 72004744101.

It is not a de Polignac number, because 10144740027 - 223 = 10136351419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144739976 and 10144740003.

It is not an unprimeable number, because it can be changed into a prime (10144740097) 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, 38749 + ... + 147617.

It is an arithmetic number, because the mean of its divisors is an integer number (857351250).

Almost surely, 210144740027 is an apocalyptic number.

10144740027 is a deficient number, since it is larger than the sum of its proper divisors (3572879973).

10144740027 is a wasteful number, since it uses less digits than its factorization.

10144740027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109310.

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 10144740027 in words is "ten billion, one hundred forty-four million, seven hundred forty thousand, twenty-seven".

Divisors: 1 3 89 267 349 1047 31061 93183 108869 326607 9689341 29068023 37995281 113985843 3381580009 10144740027