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142271854650 = 23452196772731
BaseRepresentation
bin1000010010000000010…
…0000011100000111010
3111121020011121001110000
42010200010003200322
54312333043322100
6145205255333430
713164425545152
oct2044004034072
9447204531400
10142271854650
1155378831172
12236a6681276
13105544613a3
146c59251762
153a7a3d3900
hex212010383a

142271854650 has 240 divisors, whose sum is σ = 416877737760. Its totient is φ = 35876131200.

The previous prime is 142271854619. The next prime is 142271854661. The reversal of 142271854650 is 56458172241.

142271854650 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 7 + 185 + 465 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142271854596 and 142271854605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52093785 + ... + 52096515.

It is an arithmetic number, because the mean of its divisors is an integer number (1736990574).

Almost surely, 2142271854650 is an apocalyptic number.

142271854650 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 142271854650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208438868880).

142271854650 is an abundant number, since it is smaller than the sum of its proper divisors (274605883110).

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

142271854650 is a wasteful number, since it uses less digits than its factorization.

142271854650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 142271854650 in words is "one hundred forty-two billion, two hundred seventy-one million, eight hundred fifty-four thousand, six hundred fifty".