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13014146522260 = 22513411220839261
BaseRepresentation
bin1011110101100001011110…
…0101001001110010010100
31201002010210020200022121101
42331120113211021302110
53201210433002203020
643402341045355444
72512145453143462
oct275302745116224
951063706608541
1013014146522260
1141682a5485304
12156228b408b84
137352c8749250
1432dc60b5d832
151787db5ae00a
hexbd617949c94

13014146522260 has 48 divisors (see below), whose sum is σ = 30149846414352. Its totient is φ = 4688022758400.

The previous prime is 13014146522231. The next prime is 13014146522263. The reversal of 13014146522260 is 6222564141031.

13014146522260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6652623415824 + 6361523106436 = 2579268^2 + 2522206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014146522263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610408971 + ... + 610430290.

It is an arithmetic number, because the mean of its divisors is an integer number (628121800299).

Almost surely, 213014146522260 is an apocalyptic number.

13014146522260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014146522260 is an abundant number, since it is smaller than the sum of its proper divisors (17135699892092).

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

13014146522260 is a wasteful number, since it uses less digits than its factorization.

13014146522260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220839324 (or 1220839322 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 13014146522260 in words is "thirteen trillion, fourteen billion, one hundred forty-six million, five hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 1220839261 2441678522 4883357044 6104196305 12208392610 15870910393 24416785220 31741820786 50054409701 63483641572 79354551965 100108819402 158709103930 200217638804 250272048505 317418207860 500544097010 650707326113 1001088194020 1301414652226 2602829304452 3253536630565 6507073261130 13014146522260