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342581493760 = 2145111033691
BaseRepresentation
bin1001111110000110111…
…00101100000000000000
31012202021002112000221121
410333003130230000000
521103101330300020
6421214010202024
733515326436122
oct4770334540000
91182232460847
10342581493760
1112231935a860
1256489a23314
13263c797486c
141281c4d5212
158da0b1cbaa
hex4fc372c000

342581493760 has 240 divisors, whose sum is σ = 905866520832. Its totient is φ = 123332198400.

The previous prime is 342581493739. The next prime is 342581493773. The reversal of 342581493760 is 67394185243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 342581493698 and 342581493707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92813515 + ... + 92817205.

It is a 1-persistent number, because it is pandigital, but 2⋅342581493760 = 685162987520 is not.

Almost surely, 2342581493760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342581493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452933260416).

342581493760 is an abundant number, since it is smaller than the sum of its proper divisors (563285027072).

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

342581493760 is a wasteful number, since it uses less digits than its factorization.

342581493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 342581493760 in words is "three hundred forty-two billion, five hundred eighty-one million, four hundred ninety-three thousand, seven hundred sixty".