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142280893440 = 210355717312
BaseRepresentation
bin1000010010000010011…
…0100010010000000000
3111121020210121021100000
42010200212202100000
54312342402042230
6145210221200000
713164565432260
oct2044046422000
9447223537300
10142280893440
1155382945144
12236a9700000
13105562a759a
146c5a5257a0
153a7b0bbb60
hex21209a2400

142280893440 has 1584 divisors, whose sum is σ = 639266898816. Its totient is φ = 29620961280.

The previous prime is 142280893421. The next prime is 142280893451. The reversal of 142280893440 is 44398082241.

142280893440 is a `hidden beast` number, since 1 + 4 + 228 + 0 + 89 + 344 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4589706225 + ... + 4589706255.

Almost surely, 2142280893440 is an apocalyptic number.

142280893440 is a gapful number since it is divisible by the number (10) 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 142280893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319633449408).

142280893440 is an abundant number, since it is smaller than the sum of its proper divisors (496986005376).

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

142280893440 is an equidigital number, since it uses as much as digits as its factorization.

142280893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 142280893440 in words is "one hundred forty-two billion, two hundred eighty million, eight hundred ninety-three thousand, four hundred forty".