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142237927260 = 223351131321171
BaseRepresentation
bin1000010001111000001…
…0101000011101011100
3111121010210202100211000
42010132002220131130
54312300402133020
6145202044230300
713163534301402
oct2043602503534
9447123670730
10142237927260
1155360669000
122369723b390
131054a412900
146c5493d472
153a77431090
hex211e0a875c

142237927260 has 576 divisors, whose sum is σ = 527508011520. Its totient is φ = 31802284800.

The previous prime is 142237927259. The next prime is 142237927309. The reversal of 142237927260 is 62729732241.

142237927260 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 379 + 272 + 6 + 0 = 666.

It is a super-2 number, since 2×1422379272602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 121466475 + ... + 121467645.

It is an arithmetic number, because the mean of its divisors is an integer number (915812520).

Almost surely, 2142237927260 is an apocalyptic number.

142237927260 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 142237927260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263754005760).

142237927260 is an abundant number, since it is smaller than the sum of its proper divisors (385270084260).

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

142237927260 is a wasteful number, since it uses less digits than its factorization.

142237927260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 142237927260 in words is "one hundred forty-two billion, two hundred thirty-seven million, nine hundred twenty-seven thousand, two hundred sixty".