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142386647040 = 21237511172
BaseRepresentation
bin1000010010011011100…
…1111101000000000000
3111121112011121010000000
42010212321331000000
54313101440201130
6145224520000000
713200321346641
oct2044671750000
9447464533000
10142386647040
1155427606410
1223719000000
1310572183b91
146c6a5b36c8
153a8550b260
hex2126e7d000

142386647040 has 1248 divisors, whose sum is σ = 593856673920. Its totient is φ = 32487505920.

The previous prime is 142386647033. The next prime is 142386647041. The reversal of 142386647040 is 40746683241.

142386647040 is a `hidden beast` number, since 142 + 38 + 6 + 6 + 470 + 4 + 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 not an unprimeable number, because it can be changed into a prime (142386647041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8375685112 + ... + 8375685128.

Almost surely, 2142386647040 is an apocalyptic number.

142386647040 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 142386647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296928336960).

142386647040 is an abundant number, since it is smaller than the sum of its proper divisors (451470026880).

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

142386647040 is an frugal number, since it uses more digits than its factorization.

142386647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 142386647040 in words is "one hundred forty-two billion, three hundred eighty-six million, six hundred forty-seven thousand, forty".