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142312950 = 23552131753
BaseRepresentation
bin10000111101110…
…00010111110110
3100220210020200000
420132320113312
5242413003300
622042132130
73345432363
oct1036702766
9326706600
10142312950
117337190a
123b7b1046
132363a060
1414c8746a
15c761c00
hex87b85f6

142312950 has 288 divisors, whose sum is σ = 460658016. Its totient is φ = 32348160.

The previous prime is 142312949. The next prime is 142312957. The reversal of 142312950 is 59213241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142312957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2685124 + ... + 2685176.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2142312950 is an apocalyptic number.

142312950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142312950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

142312950 is an abundant number, since it is smaller than the sum of its proper divisors (318345066).

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

142312950 is a wasteful number, since it uses less digits than its factorization.

142312950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 142312950 is about 11929.4991512636. The cubic root of 142312950 is about 522.0933245746.

The spelling of 142312950 in words is "one hundred forty-two million, three hundred twelve thousand, nine hundred fifty".