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142013104542504 = 23321317167239311719
BaseRepresentation
bin100000010010100100000000…
…101001100101001100101000
3200121211022122102121010101100
4200102210000221211030220
5122103220314230330004
61222011530343521400
741625052055413326
oct4022440051451450
9617738572533340
10142013104542504
1141282468270848
1213b17111459260
136131a16bbaa20
14270d68435ad16
151164147bbb739
hex812900a65328

142013104542504 has 768 divisors, whose sum is σ = 445084803072000. Its totient is φ = 40521326469120.

The previous prime is 142013104542481. The next prime is 142013104542511. The reversal of 142013104542504 is 405245401310241.

142013104542504 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 3 + 104 + 5 + 42 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197514748657 + ... + 197514749375.

It is an arithmetic number, because the mean of its divisors is an integer number (579537504000).

Almost surely, 2142013104542504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142013104542504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222542401536000).

142013104542504 is an abundant number, since it is smaller than the sum of its proper divisors (303071698529496).

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

142013104542504 is a wasteful number, since it uses less digits than its factorization.

142013104542504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 142013104542504 its reverse (405245401310241), we get a palindrome (547258505852745).

The spelling of 142013104542504 in words is "one hundred forty-two trillion, thirteen billion, one hundred four million, five hundred forty-two thousand, five hundred four".