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142714080 = 253252331139
BaseRepresentation
bin10001000000110…
…10010011100000
3100221112121220200
420200122103200
5243013322310
622054505200
73352023015
oct1040322340
9327477820
10142714080
1173616223
123b965200
132374a802
1414d4d70c
15c7e09c0
hex881a4e0

142714080 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 34974720.

The previous prime is 142714079. The next prime is 142714109. The reversal of 142714080 is 80417241.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1026651 + ... + 1026789.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2142714080 is an apocalyptic number.

142714080 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 142714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

142714080 is an abundant number, since it is smaller than the sum of its proper divisors (385639200).

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

142714080 is a wasteful number, since it uses less digits than its factorization.

142714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 142714080 is about 11946.2998455589. The cubic root of 142714080 is about 522.5833967140.

The spelling of 142714080 in words is "one hundred forty-two million, seven hundred fourteen thousand, eighty".