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13141428336 = 24353379997
BaseRepresentation
bin11000011110100101…
…00100100001110000
31020220211220201200000
430033102210201300
5203403201201321
610012002230000
7643441204101
oct141722444160
936824821600
1013141428336
115633aa2683
122669055300
13131578c1ca
148c94623a8
1551da8b826
hex30f4a4870

13141428336 has 60 divisors (see below), whose sum is σ = 38139897432. Its totient is φ = 4380474816.

The previous prime is 13141428331. The next prime is 13141428397. The reversal of 13141428336 is 63382414131.

13141428336 is a `hidden beast` number, since 1 + 314 + 1 + 4 + 2 + 8 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13141428336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141428331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1686111 + ... + 1693886.

Almost surely, 213141428336 is an apocalyptic number.

13141428336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13141428336 is an abundant number, since it is smaller than the sum of its proper divisors (24998469096).

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

13141428336 is an equidigital number, since it uses as much as digits as its factorization.

13141428336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380020 (or 3380002 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13141428336 in words is "thirteen billion, one hundred forty-one million, four hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 3379997 6759994 10139991 13519988 20279982 27039976 30419973 40559964 54079952 60839946 81119928 91259919 121679892 162239856 182519838 243359784 273779757 365039676 486719568 547559514 730079352 821339271 1095119028 1460158704 1642678542 2190238056 3285357084 4380476112 6570714168 13141428336