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142375809240 = 2335572319643
BaseRepresentation
bin1000010010011001000…
…0100111000011011000
3111121111102012111100000
42010212100213003120
54313041201343430
6145223451413000
713200130260600
oct2044620470330
9447442174300
10142375809240
1155421483855
1223715454160
131056cb5ab92
146c68d91c00
153a845b9e60
hex21264270d8

142375809240 has 576 divisors, whose sum is σ = 576269890560. Its totient is φ = 31490000640.

The previous prime is 142375809211. The next prime is 142375809253. The reversal of 142375809240 is 42908573241.

142375809240 is a `hidden beast` number, since 1 + 4 + 23 + 7 + 580 + 9 + 2 + 40 = 666.

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 143 ways as a sum of consecutive naturals, for example, 14759859 + ... + 14769501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000468560).

Almost surely, 2142375809240 is an apocalyptic number.

142375809240 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 142375809240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288134945280).

142375809240 is an abundant number, since it is smaller than the sum of its proper divisors (433894081320).

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

142375809240 is a wasteful number, since it uses less digits than its factorization.

142375809240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 142375809240 in words is "one hundred forty-two billion, three hundred seventy-five million, eight hundred nine thousand, two hundred forty".