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13340505040 = 245354147093
BaseRepresentation
bin11000110110010011…
…11111001111010000
31021102201111212120021
430123021333033100
5204310132130130
610043433153224
7651406264462
oct143311771720
937381455507
1013340505040
115726404985
12270385b814
131347ab2185
14907a84132
155312b237a
hex31b27f3d0

13340505040 has 40 divisors (see below), whose sum is σ = 31026092328. Its totient is φ = 5334581760.

The previous prime is 13340505023. The next prime is 13340505043. The reversal of 13340505040 is 4050504331.

It can be written as a sum of positive squares in 4 ways, for example, as 5071148944 + 8269356096 = 71212^2 + 90936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13340504996 and 13340505014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340505043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259734 + ... + 306826.

Almost surely, 213340505040 is an apocalyptic number.

13340505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13340505040 is an abundant number, since it is smaller than the sum of its proper divisors (17685587288).

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

13340505040 is a wasteful number, since it uses less digits than its factorization.

13340505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50647 (or 50641 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 13340505040 in words is "thirteen billion, three hundred forty million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3541 7082 14164 17705 28328 35410 47093 56656 70820 94186 141640 188372 235465 283280 376744 470930 753488 941860 1883720 3767440 166756313 333512626 667025252 833781565 1334050504 1667563130 2668101008 3335126260 6670252520 13340505040