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9142481250 = 232557231107
BaseRepresentation
bin10001000001110111…
…10011000101100010
3212121011012011112200
420200323303011202
5122210433400000
64111111034030
7442362544200
oct104073630542
925534164480
109142481250
113971768531
12193196b916
13b29148b26
1462a304070
15387973500
hex220ef3162

9142481250 has 432 divisors, whose sum is σ = 30008579328. Its totient is φ = 2003400000.

The previous prime is 9142481239. The next prime is 9142481263. The reversal of 9142481250 is 521842419.

9142481250 is a `hidden beast` number, since 91 + 42 + 481 + 2 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 85443697 + ... + 85443803.

It is an arithmetic number, because the mean of its divisors is an integer number (69464304).

Almost surely, 29142481250 is an apocalyptic number.

9142481250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9142481250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004289664).

9142481250 is an abundant number, since it is smaller than the sum of its proper divisors (20866098078).

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

9142481250 is a wasteful number, since it uses less digits than its factorization.

9142481250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9142481250 is about 95616.3231357492. The cubic root of 9142481250 is about 2091.0031775128.

The spelling of 9142481250 in words is "nine billion, one hundred forty-two million, four hundred eighty-one thousand, two hundred fifty".