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10144046037 = 34191190529
BaseRepresentation
bin10010111001010000…
…11101101111010101
3222011221210221010210
421130220131233111
5131233333433122
64354330040033
7506243653146
oct113450355725
928157727123
1010144046037
11433605aa24
121b71279019
13c587b3308
146c333bacd
153e586340c
hex25ca1dbd5

10144046037 has 16 divisors (see below), whose sum is σ = 13870644480. Its totient is φ = 6590438400.

The previous prime is 10144046023. The next prime is 10144046051. The reversal of 10144046037 is 73064044101.

It is an interprime number because it is at equal distance from previous prime (10144046023) and next prime (10144046051).

It is not a de Polignac number, because 10144046037 - 28 = 10144045781 is a prime.

It is a super-3 number, since 3×101440460373 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144045995 and 10144046013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144046137) 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, 66789 + ... + 157317.

It is an arithmetic number, because the mean of its divisors is an integer number (866915280).

Almost surely, 210144046037 is an apocalyptic number.

It is an amenable number.

10144046037 is a deficient number, since it is larger than the sum of its proper divisors (3726598443).

10144046037 is an equidigital number, since it uses as much as digits as its factorization.

10144046037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91484.

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10144046037 in words is "ten billion, one hundred forty-four million, forty-six thousand, thirty-seven".

Divisors: 1 3 41 123 911 2733 37351 90529 112053 271587 3711689 11135067 82471919 247415757 3381348679 10144046037