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142368453504 = 273217471371129
BaseRepresentation
bin1000010010010111010…
…0100011001110000000
3111121110220100210011100
42010211310203032000
54313032311003004
6145223030014400
713200010613364
oct2044564431600
9447426323140
10142368453504
115541830a332
1223712aa7400
131056b483a84
146c67dd92a4
153a83b15739
hex2125d23380

142368453504 has 384 divisors, whose sum is σ = 446637110400. Its totient is φ = 43356782592.

The previous prime is 142368453473. The next prime is 142368453523. The reversal of 142368453504 is 405354863241.

142368453504 is a `hidden beast` number, since 1 + 4 + 2 + 36 + 84 + 535 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 142368453504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126100812 + ... + 126101940.

It is an arithmetic number, because the mean of its divisors is an integer number (1163117475).

Almost surely, 2142368453504 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 142368453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223318555200).

142368453504 is an abundant number, since it is smaller than the sum of its proper divisors (304268656896).

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

142368453504 is a wasteful number, since it uses less digits than its factorization.

142368453504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 142368453504 in words is "one hundred forty-two billion, three hundred sixty-eight million, four hundred fifty-three thousand, five hundred four".