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142559092368 = 24337311149587
BaseRepresentation
bin1000010011000100101…
…1110001111010010000
3111121222012002020112000
42010301023301322100
54313430111423433
6145254000034000
713204514202000
oct2046113617220
9447865066460
10142559092368
1155505989110
1223766902900
131059bb11234
146c85462000
153a95721113
hex21312f1e90

142559092368 has 640 divisors, whose sum is σ = 524966400000. Its totient is φ = 36717166080.

The previous prime is 142559092331. The next prime is 142559092373. The reversal of 142559092368 is 863290955241.

142559092368 is a `hidden beast` number, since 1 + 4 + 2 + 559 + 0 + 9 + 23 + 68 = 666.

142559092368 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242860171 + ... + 242860757.

It is an arithmetic number, because the mean of its divisors is an integer number (820260000).

Almost surely, 2142559092368 is an apocalyptic number.

142559092368 is a gapful number since it is divisible by the number (18) 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 142559092368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200000).

142559092368 is an abundant number, since it is smaller than the sum of its proper divisors (382407307632).

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

142559092368 is a wasteful number, since it uses less digits than its factorization.

142559092368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 142559092368 in words is "one hundred forty-two billion, five hundred fifty-nine million, ninety-two thousand, three hundred sixty-eight".