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42944357142720 = 263251110328374639
BaseRepresentation
bin10011100001110110000110…
…01001110001000011000000
312122001102220002100021011200
421300323003021301003000
521112100020412031340
6231200210524141200
712021425126603115
oct1160730311610300
9178042802307150
1042944357142720
1112757666060590
124996aa2397800
131ac6835276237
14a8673747c90c
154e71344cd330
hex270ec32710c0

42944357142720 has 672 divisors, whose sum is σ = 162795831644160. Its totient is φ = 10303822356480.

The previous prime is 42944357142697. The next prime is 42944357142751. The reversal of 42944357142720 is 2724175344924.

42944357142720 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 4 + 3 + 571 + 42 + 7 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9257242161 + ... + 9257246799.

Almost surely, 242944357142720 is an apocalyptic number.

42944357142720 is a gapful number since it is divisible by the number (40) 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 42944357142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81397915822080).

42944357142720 is an abundant number, since it is smaller than the sum of its proper divisors (119851474501440).

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

42944357142720 is a wasteful number, since it uses less digits than its factorization.

42944357142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 42944357142720 in words is "forty-two trillion, nine hundred forty-four billion, three hundred fifty-seven million, one hundred forty-two thousand, seven hundred twenty".