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42870339456 = 2737311274051
BaseRepresentation
bin100111111011010001…
…010111011110000000
311002122201002220000020
4213323101113132000
51200244301330311
631405552053440
73045236605260
oct477321273600
9132581086006
1042870339456
11171aa20960a
128385234280
134072939989
1421098a17a0
1511ad9b7c06
hex9fb457780

42870339456 has 256 divisors, whose sum is σ = 135431454720. Its totient is φ = 11757312000.

The previous prime is 42870339427. The next prime is 42870339461. The reversal of 42870339456 is 65493307824.

It is a junction number, because it is equal to n+sod(n) for n = 42870339399 and 42870339408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10580631 + ... + 10584681.

It is an arithmetic number, because the mean of its divisors is an integer number (529029120).

Almost surely, 242870339456 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 42870339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67715727360).

42870339456 is an abundant number, since it is smaller than the sum of its proper divisors (92561115264).

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

42870339456 is a wasteful number, since it uses less digits than its factorization.

42870339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 42870339456 in words is "forty-two billion, eight hundred seventy million, three hundred thirty-nine thousand, four hundred fifty-six".