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13142466160 = 245235169877
BaseRepresentation
bin11000011110101101…
…00001111001110000
31020220220212110021221
430033112201321300
5203403432404120
610012040354424
7643453055605
oct141726417160
936826773257
1013142466160
11563464138a
122669475a14
131315a636c5
148c96526ac
1551dbe40aa
hex30f5a1e70

13142466160 has 40 divisors (see below), whose sum is σ = 30569668416. Its totient is φ = 5254675200.

The previous prime is 13142466157. The next prime is 13142466163. The reversal of 13142466160 is 6166424131.

13142466160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13142466157) and next prime (13142466163).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142466163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153142 + ... + 223018.

Almost surely, 213142466160 is an apocalyptic number.

13142466160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142466160 is an abundant number, since it is smaller than the sum of its proper divisors (17427202256).

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

13142466160 is a wasteful number, since it uses less digits than its factorization.

13142466160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72241 (or 72235 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 13142466160 in words is "thirteen billion, one hundred forty-two million, four hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2351 4702 9404 11755 18808 23510 37616 47020 69877 94040 139754 188080 279508 349385 559016 698770 1118032 1397540 2795080 5590160 164280827 328561654 657123308 821404135 1314246616 1642808270 2628493232 3285616540 6571233080 13142466160