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142611976416 = 25371331526601
BaseRepresentation
bin1000010011010001010…
…1100001000011100000
3111122002212121000210110
42010310111201003200
54314032131221131
6145303125331320
713206025540620
oct2046425410340
9448085530713
10142611976416
1155532819738
1223780566b40
13105a9a69280
146c8c4aa880
153a9a1ba646
hex21345610e0

142611976416 has 192 divisors, whose sum is σ = 475610075136. Its totient is φ = 36398592000.

The previous prime is 142611976393. The next prime is 142611976471. The reversal of 142611976416 is 614679116241.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7516 + ... + 534116.

It is an arithmetic number, because the mean of its divisors is an integer number (2477135808).

Almost surely, 2142611976416 is an apocalyptic number.

142611976416 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 142611976416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237805037568).

142611976416 is an abundant number, since it is smaller than the sum of its proper divisors (332998098720).

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

142611976416 is a wasteful number, since it uses less digits than its factorization.

142611976416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526665 (or 526657 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 142611976416 in words is "one hundred forty-two billion, six hundred eleven million, nine hundred seventy-six thousand, four hundred sixteen".