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10142604062514 = 23271137433456769
BaseRepresentation
bin1001001110011000001001…
…0011111110111100110010
31022220121211111221012210100
42103212002103332330302
52312134023120000024
633323240433013230
72064531120024510
oct223460223767462
938817744835710
1010142604062514
1132604aa637940
1211798556b4216
1358759c3835c1
14270c945394b0
15128c745987c9
hex939824fef32

10142604062514 has 192 divisors, whose sum is σ = 28203742344960. Its totient is φ = 2557316136960.

The previous prime is 10142604062441. The next prime is 10142604062527. The reversal of 10142604062514 is 41526040624101.

10142604062514 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 26 + 0 + 4 + 0 + 625 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21976722 + ... + 22433490.

It is an arithmetic number, because the mean of its divisors is an integer number (146894491380).

Almost surely, 210142604062514 is an apocalyptic number.

10142604062514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142604062514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101871172480).

10142604062514 is an abundant number, since it is smaller than the sum of its proper divisors (18061138282446).

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

10142604062514 is a wasteful number, since it uses less digits than its factorization.

10142604062514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457265 (or 457262 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10142604062514 its reverse (41526040624101), we get a palindrome (51668644686615).

The spelling of 10142604062514 in words is "ten trillion, one hundred forty-two billion, six hundred four million, sixty-two thousand, five hundred fourteen".