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135314545242045 = 35131740818867343
BaseRepresentation
bin11110110001000101011111…
…011001101110111110111101
3122202002221111022111021222110
4132301011133121232332331
5120213443142040221140
61155442351030404233
740334103401001621
oct3661053731567675
9582087438437873
10135314545242045
113a12a638167684
1213214a47500679
135a67150a1c840
14255b38a731181
151099c963b0380
hex7b115f66efbd

135314545242045 has 32 divisors (see below), whose sum is σ = 246872509696512. Its totient is φ = 62697780237312.

The previous prime is 135314545241929. The next prime is 135314545242047. The reversal of 135314545242045 is 540242545413531.

It is a happy number.

It is not a de Polignac number, because 135314545242045 - 27 = 135314545241917 is a prime.

It is a super-2 number, since 2×1353145452420452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135314545241985 and 135314545242003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314545242047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20409430357 + ... + 20409436986.

It is an arithmetic number, because the mean of its divisors is an integer number (7714765928016).

Almost surely, 2135314545242045 is an apocalyptic number.

135314545242045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135314545242045 is a deficient number, since it is larger than the sum of its proper divisors (111557964454467).

135314545242045 is a wasteful number, since it uses less digits than its factorization.

135314545242045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40818867381.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 135314545242045 in words is "one hundred thirty-five trillion, three hundred fourteen billion, five hundred forty-five million, two hundred forty-two thousand, forty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 40818867343 122456602029 204094336715 530645275459 612283010145 693920744831 1591935826377 2081762234493 2653226377295 3469603724155 7959679131885 9020969682803 10408811172465 27062909048409 45104848414015 135314545242045