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13141824020 = 2251359856703
BaseRepresentation
bin11000011110101000…
…00101001000010100
31020220212122211102222
430033110011020110
5203403301332040
610012014521512
7643444442513
oct141724051024
936825584388
1013141824020
115634242996
122669206298
13131589a340
148c952667a
1551db18bb5
hex30f505214

13141824020 has 48 divisors (see below), whose sum is σ = 30224517120. Its totient is φ = 4770116736.

The previous prime is 13141823999. The next prime is 13141824029. The reversal of 13141824020 is 2042814131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141824029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413012 + ... + 443691.

It is an arithmetic number, because the mean of its divisors is an integer number (629677440).

Almost surely, 213141824020 is an apocalyptic number.

13141824020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141824020 is an abundant number, since it is smaller than the sum of its proper divisors (17082693100).

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

13141824020 is a wasteful number, since it uses less digits than its factorization.

13141824020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856784 (or 856782 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 13141824020 in words is "thirteen billion, one hundred forty-one million, eight hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 3068 3835 7670 15340 856703 1713406 3426812 4283515 8567030 11137139 17134060 22274278 44548556 50545477 55685695 101090954 111371390 202181908 222742780 252727385 505454770 657091201 1010909540 1314182402 2628364804 3285456005 6570912010 13141824020