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142542686160 = 243257192951329
BaseRepresentation
bin1000010011000000110…
…1001100011111010000
3111121221001012201102200
42010300031030133100
54313411411424120
6145252212243200
713204224561330
oct2046015143720
9447831181380
10142542686160
11554a76a2966
1223761310500
13105985b8814
146c831d10c0
153a9407ee90
hex213034c7d0

142542686160 has 480 divisors, whose sum is σ = 595756512000. Its totient is φ = 29801447424.

The previous prime is 142542686137. The next prime is 142542686161. The reversal of 142542686160 is 61686245241.

It is a happy number.

142542686160 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 4 + 26 + 8 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142542686161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751376 + ... + 2802704.

It is an arithmetic number, because the mean of its divisors is an integer number (1241159400).

Almost surely, 2142542686160 is an apocalyptic number.

142542686160 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 142542686160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297878256000).

142542686160 is an abundant number, since it is smaller than the sum of its proper divisors (453213825840).

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

142542686160 is a wasteful number, since it uses less digits than its factorization.

142542686160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51403 (or 51394 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 142542686160 in words is "one hundred forty-two billion, five hundred forty-two million, six hundred eighty-six thousand, one hundred sixty".