Search a number
-
+
142847591040 = 273357411313
BaseRepresentation
bin1000010100001001100…
…0010100001010000000
3111122201021221111022000
42011002120110022000
54320022440403130
6145342343344000
713214616330000
oct2050230241200
9448637844260
10142847591040
1155643817470
1223827452000
1310616812ccb
146cb18c0000
153ab0c0c260
hex2142614280

142847591040 has 1280 divisors, whose sum is σ = 645915081600. Its totient is φ = 29587783680.

The previous prime is 142847591039. The next prime is 142847591059. The reversal of 142847591040 is 40195748241.

142847591040 is a `hidden beast` number, since 14 + 2 + 8 + 4 + 7 + 591 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 456381924 + ... + 456382236.

Almost surely, 2142847591040 is an apocalyptic number.

142847591040 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 142847591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322957540800).

142847591040 is an abundant number, since it is smaller than the sum of its proper divisors (503067490560).

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

142847591040 is an equidigital number, since it uses as much as digits as its factorization.

142847591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 142847591040 in words is "one hundred forty-two billion, eight hundred forty-seven million, five hundred ninety-one thousand, forty".