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10144153134 = 2324346328307
BaseRepresentation
bin10010111001010001…
…10111111000101110
3222011222000101001100
421130220313320232
5131233400400014
64354332223530
7506244610323
oct113450677056
928158011040
1010144153134
114336123435
121b7130aba6
13c5881cc9b
146c3368b4a
153e5885009
hex25ca37e2e

10144153134 has 48 divisors (see below), whose sum is σ = 22539508992. Its totient is φ = 3295497744.

The previous prime is 10144153121. The next prime is 10144153139. The reversal of 10144153134 is 43135144101.

It is a junction number, because it is equal to n+sod(n) for n = 10144153098 and 10144153107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144153139) 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 23 ways as a sum of consecutive naturals, for example, 344209 + ... + 372515.

It is an arithmetic number, because the mean of its divisors is an integer number (469573104).

Almost surely, 210144153134 is an apocalyptic number.

10144153134 is an abundant number, since it is smaller than the sum of its proper divisors (12395355858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144153134 is a wasteful number, since it uses less digits than its factorization.

10144153134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28821 (or 28818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10144153134 its reverse (43135144101), we get a palindrome (53279297235).

The spelling of 10144153134 in words is "ten billion, one hundred forty-four million, one hundred fifty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 463 774 926 1389 2778 4167 8334 19909 28307 39818 56614 59727 84921 119454 169842 179181 254763 358362 509526 1217201 2434402 3651603 7303206 10954809 13106141 21909618 26212282 39318423 78636846 117955269 235910538 563564063 1127128126 1690692189 3381384378 5072076567 10144153134