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142372440 = 23325731153
BaseRepresentation
bin10000111110001…
…10111001011000
3100220220021021100
420133012321120
5242421404230
622043311400
73346101000
oct1037067130
9326807240
10142372440
1173402581
123b81b560
132365b162
1414ca1000
15c774660
hex87c6e58

142372440 has 192 divisors, whose sum is σ = 540072000. Its totient is φ = 32514048.

The previous prime is 142372403. The next prime is 142372463. The reversal of 142372440 is 44273241.

142372440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122904 + ... + 124056.

It is an arithmetic number, because the mean of its divisors is an integer number (2812875).

Almost surely, 2142372440 is an apocalyptic number.

142372440 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 142372440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270036000).

142372440 is an abundant number, since it is smaller than the sum of its proper divisors (397699560).

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

142372440 is a wasteful number, since it uses less digits than its factorization.

142372440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 142372440 is about 11931.9922896388. The cubic root of 142372440 is about 522.1660633405.

The spelling of 142372440 in words is "one hundred forty-two million, three hundred seventy-two thousand, four hundred forty".