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142389636480 = 273357132331127
BaseRepresentation
bin1000010010011100010…
…1010110110110000000
3111121112101012222202000
42010213011112312000
54313103221331410
6145225104024000
713200355640340
oct2044705266600
9447471188660
10142389636480
1155429268423
122371a002000
131057298c790
146c6ab50d20
153a858ebdc0
hex2127156d80

142389636480 has 2048 divisors, whose sum is σ = 673814937600. Its totient is φ = 27590492160.

The previous prime is 142389636469. The next prime is 142389636497. The reversal of 142389636480 is 84636983241.

142389636480 is a `hidden beast` number, since 1 + 4 + 23 + 89 + 63 + 6 + 480 = 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 255 ways as a sum of consecutive naturals, for example, 1121178177 + ... + 1121178303.

It is an arithmetic number, because the mean of its divisors is an integer number (329011200).

Almost surely, 2142389636480 is an apocalyptic number.

142389636480 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 142389636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336907468800).

142389636480 is an abundant number, since it is smaller than the sum of its proper divisors (531425301120).

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

142389636480 is a wasteful number, since it uses less digits than its factorization.

142389636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 142389636480 in words is "one hundred forty-two billion, three hundred eighty-nine million, six hundred thirty-six thousand, four hundred eighty".