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15114134142 = 2331396193253
BaseRepresentation
bin11100001001101111…
…10110001001111110
31110000022220120022000
432010313312021332
5221423204243032
610535432203130
71043354010012
oct160467661176
943008816260
1015114134142
116456597758
122b198394a6
13156b39b053
14a35454542
155d6d5be7c
hex384df627e

15114134142 has 64 divisors (see below), whose sum is σ = 33893664000. Its totient is φ = 4992184224.

The previous prime is 15114134137. The next prime is 15114134143. The reversal of 15114134142 is 24143141151.

It is a happy number.

15114134142 is a `hidden beast` number, since 1 + 511 + 4 + 1 + 3 + 4 + 142 = 666.

It is a super-3 number, since 3×151141341423 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15114134143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4644588 + ... + 4647840.

It is an arithmetic number, because the mean of its divisors is an integer number (529588500).

Almost surely, 215114134142 is an apocalyptic number.

15114134142 is an abundant number, since it is smaller than the sum of its proper divisors (18779529858).

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

15114134142 is a wasteful number, since it uses less digits than its factorization.

15114134142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4016 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 15114134142 its reverse (24143141151), we get a palindrome (39257275293).

The spelling of 15114134142 in words is "fifteen billion, one hundred fourteen million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 139 278 417 619 834 1238 1251 1857 2502 3253 3714 3753 5571 6506 7506 9759 11142 16713 19518 29277 33426 58554 86041 87831 172082 175662 258123 452167 516246 774369 904334 1356501 1548738 2013607 2323107 2713002 4027214 4069503 4646214 6040821 8139006 12081642 12208509 18122463 24417018 36244926 54367389 108734778 279891373 559782746 839674119 1679348238 2519022357 5038044714 7557067071 15114134142