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142287467616 = 2533747736857
BaseRepresentation
bin1000010010000011111…
…1100111010001100000
3111121021020222021102000
42010200333213101200
54312401042430431
6145211014124000
713165005343050
oct2044077472140
9447236867360
10142287467616
1155386625448
12236ab950600
1310557769a28
146c5b357560
153a7b9699e6
hex2120fe7460

142287467616 has 384 divisors, whose sum is σ = 491089858560. Its totient is φ = 39237820416.

The previous prime is 142287467557. The next prime is 142287467617. The reversal of 142287467616 is 616764782241.

142287467616 is a `hidden beast` number, since 1 + 42 + 2 + 87 + 467 + 61 + 6 = 666.

142287467616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142287467617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20747260 + ... + 20754116.

It is an arithmetic number, because the mean of its divisors is an integer number (1278879840).

Almost surely, 2142287467616 is an apocalyptic number.

142287467616 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 142287467616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245544929280).

142287467616 is an abundant number, since it is smaller than the sum of its proper divisors (348802390944).

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

142287467616 is a wasteful number, since it uses less digits than its factorization.

142287467616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6989 counting only the distinct ones).

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

The spelling of 142287467616 in words is "one hundred forty-two billion, two hundred eighty-seven million, four hundred sixty-seven thousand, six hundred sixteen".