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142687028736 = 29347736733
BaseRepresentation
bin1000010011100011001…
…1110100011000000000
3111122022002211002020000
42010320303310120000
54314210334404421
6145314410120000
713210626506220
oct2047063643000
9448262732200
10142687028736
115557112064a
12237a1720000
13105bc486625
146c98446080
153aa1a93226
hex2138cf4600

142687028736 has 400 divisors, whose sum is σ = 493464395424. Its totient is φ = 40203288576.

The previous prime is 142687028683. The next prime is 142687028767. The reversal of 142687028736 is 637820786241.

142687028736 is a `hidden beast` number, since 1 + 4 + 268 + 70 + 287 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21188826 + ... + 21195558.

Almost surely, 2142687028736 is an apocalyptic number.

142687028736 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 142687028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246732197712).

142687028736 is an abundant number, since it is smaller than the sum of its proper divisors (350777366688).

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

142687028736 is an frugal number, since it uses more digits than its factorization.

142687028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 142687028736 in words is "one hundred forty-two billion, six hundred eighty-seven million, twenty-eight thousand, seven hundred thirty-six".