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14152540644 = 223711147073
BaseRepresentation
bin11010010111000111…
…01010000111100100
31100112022111120000000
431023203222013210
5212441022300034
610300202021300
71010466416304
oct151343520744
940468446000
1014152540644
116002816290
1228ab7a7830
1314470ba308
14983863604
1557c715599
hex34b8ea1e4

14152540644 has 96 divisors (see below), whose sum is σ = 40521828480. Its totient is φ = 4288619520.

The previous prime is 14152540637. The next prime is 14152540651. The reversal of 14152540644 is 44604525141.

14152540644 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 2 + 5 + 4 + 0 + 644 = 666.

14152540644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14152540637) and next prime (14152540651).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14152540599 and 14152540608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22692 + ... + 169764.

It is an arithmetic number, because the mean of its divisors is an integer number (422102380).

Almost surely, 214152540644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14152540644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260914240).

14152540644 is an abundant number, since it is smaller than the sum of its proper divisors (26369287836).

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

14152540644 is a wasteful number, since it uses less digits than its factorization.

14152540644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147109 (or 147089 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14152540644 in words is "fourteen billion, one hundred fifty-two million, five hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 8019 8748 10692 16038 24057 32076 48114 96228 147073 294146 441219 588292 882438 1323657 1617803 1764876 2647314 3235606 3970971 4853409 5294628 6471212 7941942 9706818 11912913 14560227 15883884 19413636 23825826 29120454 35738739 43680681 47651652 58240908 71477478 87361362 107216217 131042043 142954956 174722724 214432434 262084086 321648651 393126129 428864868 524168172 643297302 786252258 1179378387 1286594604 1572504516 2358756774 3538135161 4717513548 7076270322 14152540644