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144531014315052 = 22389135328665089
BaseRepresentation
bin100000110111001100111111…
…110001000110110000101100
3200221202000210220001101211010
4200313030333301012300230
5122420444004131040202
61231220344212425220
742305010161352261
oct4067147761066054
9627660726041733
10144531014315052
1142063293735242
12142630b4318210
1362852a6bcbac1
1427994a4891268
1511a98b3cb176c
hex83733fc46c2c

144531014315052 has 24 divisors (see below), whose sum is σ = 341028236026800. Its totient is φ = 47635690110976.

The previous prime is 144531014314987. The next prime is 144531014315053. The reversal of 144531014315052 is 250513410135441.

144531014315052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1445310143150522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144531014315052.

It is not an unprimeable number, because it can be changed into a prime (144531014315053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67664331477 + ... + 67664333612.

It is an arithmetic number, because the mean of its divisors is an integer number (14209509834450).

Almost surely, 2144531014315052 is an apocalyptic number.

144531014315052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144531014315052 is an abundant number, since it is smaller than the sum of its proper divisors (196497221711748).

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

144531014315052 is a wasteful number, since it uses less digits than its factorization.

144531014315052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135328665185 (or 135328665183 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 144531014315052 in words is "one hundred forty-four trillion, five hundred thirty-one billion, fourteen million, three hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 89 178 267 356 534 1068 135328665089 270657330178 405985995267 541314660356 811971990534 1623943981068 12044251192921 24088502385842 36132753578763 48177004771684 72265507157526 144531014315052