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1342785330432 = 28347132194367
BaseRepresentation
bin10011100010100100001…
…111100001110100000000
311202100222000111102210000
4103202210033201310000
5134000011021033212
62504511141440000
7166004320662150
oct23424417416400
94670860442700
101342785330432
11478521349207
121982a8110000
139981623bb00
1448dc3a3c760
1524de01ea1dc
hex138a43e1d00

1342785330432 has 2160 divisors, whose sum is σ = 5416751746560. Its totient is φ = 322808758272.

The previous prime is 1342785330421. The next prime is 1342785330487. The reversal of 1342785330432 is 2340335872431.

1342785330432 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 78 + 533 + 0 + 43 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20041572063 + ... + 20041572129.

Almost surely, 21342785330432 is an apocalyptic number.

1342785330432 is a gapful number since it is divisible by the number (12) 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 1342785330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708375873280).

1342785330432 is an abundant number, since it is smaller than the sum of its proper divisors (4073966416128).

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

1342785330432 is a wasteful number, since it uses less digits than its factorization.

1342785330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 1342785330432 in words is "one trillion, three hundred forty-two billion, seven hundred eighty-five million, three hundred thirty thousand, four hundred thirty-two".