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142370563104 = 25327311243277
BaseRepresentation
bin1000010010010111110…
…0100110010000100000
3111121111001022221222200
42010211330212100200
54313033331004404
6145223143133200
713200034551000
oct2044574462040
9447431287880
10142370563104
1155419520300
1223713744200
131056ba42063
146c683c8000
153a83dd0839
hex2125f26420

142370563104 has 864 divisors, whose sum is σ = 532958025600. Its totient is φ = 35988986880.

The previous prime is 142370563103. The next prime is 142370563207. The reversal of 142370563104 is 401365073241.

142370563104 is a `hidden beast` number, since 1 + 4 + 23 + 70 + 563 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×1423705631042 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142370563103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 513973014 + ... + 513973290.

Almost surely, 2142370563104 is an apocalyptic number.

142370563104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142370563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266479012800).

142370563104 is an abundant number, since it is smaller than the sum of its proper divisors (390587462496).

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

142370563104 is a wasteful number, since it uses less digits than its factorization.

142370563104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 142370563104 in words is "one hundred forty-two billion, three hundred seventy million, five hundred sixty-three thousand, one hundred four".