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142252830720 = 21233571113257
BaseRepresentation
bin1000010001111011101…
…1011111000000000000
3111121011211210112112000
42010132323133000000
54312313211040340
6145203335504000
713164105052620
oct2043673370000
9447154715460
10142252830720
1155369018210
12236a0228000
1310550530320
146c568dc880
153a788c6d30
hex211eedf000

142252830720 has 1664 divisors, whose sum is σ = 681658951680. Its totient is φ = 27179089920.

The previous prime is 142252830679. The next prime is 142252830749. The reversal of 142252830720 is 27038252241.

142252830720 is a `hidden beast` number, since 14 + 22 + 528 + 30 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 553512832 + ... + 553513088.

Almost surely, 2142252830720 is an apocalyptic number.

142252830720 is a gapful number since it is divisible by the number (10) 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 142252830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340829475840).

142252830720 is an abundant number, since it is smaller than the sum of its proper divisors (539406120960).

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

142252830720 is a wasteful number, since it uses less digits than its factorization.

142252830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 142252830720 in words is "one hundred forty-two billion, two hundred fifty-two million, eight hundred thirty thousand, seven hundred twenty".