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142151940 = 223257271227
BaseRepresentation
bin10000111100100…
…01000100000100
3100220111001210200
420132101010010
5242342330230
622034450500
73344162100
oct1036210404
9326431720
10142151940
1173271947
123b733a30
13235b1998
1414c44900
15c72e160
hex8791104

142151940 has 216 divisors, whose sum is σ = 510898752. Its totient is φ = 31893120.

The previous prime is 142151929. The next prime is 142151959. The reversal of 142151940 is 49151241.

142151940 is a `hidden beast` number, since 142 + 1 + 519 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 626107 + ... + 626333.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2142151940 is an apocalyptic number.

142151940 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 142151940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255449376).

142151940 is an abundant number, since it is smaller than the sum of its proper divisors (368746812).

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

142151940 is a wasteful number, since it uses less digits than its factorization.

142151940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 142151940 is about 11922.7488441215. The cubic root of 142151940 is about 521.8963549893.

It can be divided in two parts, 1421 and 51940, that added together give a square (53361 = 2312).

The spelling of 142151940 in words is "one hundred forty-two million, one hundred fifty-one thousand, nine hundred forty".