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142187388336 = 24347531132617
BaseRepresentation
bin1000010001101100000…
…1110101110110110000
3111121000021122201110000
42010123001311312300
54312144432411321
6145153041110000
713162351600530
oct2043301656660
9447007581400
10142187388336
115533508a3a4
1223682328300
131053cac9116
146c4bd454c0
153a72c9b826
hex211b075db0

142187388336 has 400 divisors, whose sum is σ = 483621171264. Its totient is φ = 39490633728.

The previous prime is 142187388263. The next prime is 142187388337. The reversal of 142187388336 is 633883781241.

It is a happy number.

142187388336 is a `hidden beast` number, since 1 + 421 + 87 + 38 + 83 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142187388337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54330900 + ... + 54333516.

Almost surely, 2142187388336 is an apocalyptic number.

142187388336 is a gapful number since it is divisible by the number (16) 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 142187388336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241810585632).

142187388336 is an abundant number, since it is smaller than the sum of its proper divisors (341433782928).

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

142187388336 is a wasteful number, since it uses less digits than its factorization.

142187388336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2795 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 142187388336 in words is "one hundred forty-two billion, one hundred eighty-seven million, three hundred eighty-eight thousand, three hundred thirty-six".