Search a number
-
+
142957238256 = 2436789103191
BaseRepresentation
bin1000010100100011101…
…0100101011111110000
3111122222221021011000000
42011020322211133300
54320234023111011
6145401301430000
713220420322120
oct2051072453760
9448887234000
10142957238256
115569a6a7aa8
122385810b300
1310633453911
146cc22a2c80
153aba66a356
hex2148ea57f0

142957238256 has 560 divisors, whose sum is σ = 487134535680. Its totient is φ = 39784504320.

The previous prime is 142957238243. The next prime is 142957238257. The reversal of 142957238256 is 652832759241.

142957238256 is a `hidden beast` number, since 1 + 4 + 295 + 72 + 38 + 256 = 666.

142957238256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142957238257) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 748467121 + ... + 748467311.

Almost surely, 2142957238256 is an apocalyptic number.

142957238256 is a gapful number since it is divisible by the number (16) 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 142957238256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243567267840).

142957238256 is an abundant number, since it is smaller than the sum of its proper divisors (344177297424).

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

142957238256 is a wasteful number, since it uses less digits than its factorization.

142957238256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 142957238256 in words is "one hundred forty-two billion, nine hundred fifty-seven million, two hundred thirty-eight thousand, two hundred fifty-six".