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42099704232960 = 21035118917316183
BaseRepresentation
bin10011001001010000110011…
…11010100111110000000000
312112001200200202212200102110
421210220121322213300000
521004230143240423320
6225312200453015320
711603413626410523
oct1144503172476000
9175050622780373
1042099704232960
1112461425558890
12487b255924540
131a64ca629338a
14a578ca9d8bba
154d019aeae5e0
hex264a19ea7c00

42099704232960 has 704 divisors, whose sum is σ = 149412852771840. Its totient is φ = 10032363601920.

The previous prime is 42099704232877. The next prime is 42099704232961. The reversal of 42099704232960 is 6923240799024.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 42099704232960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42099704232961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2601469029 + ... + 2601485211.

Almost surely, 242099704232960 is an apocalyptic number.

42099704232960 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 42099704232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74706426385920).

42099704232960 is an abundant number, since it is smaller than the sum of its proper divisors (107313148538880).

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

42099704232960 is a wasteful number, since it uses less digits than its factorization.

42099704232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16484 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 42099704232960 in words is "forty-two trillion, ninety-nine billion, seven hundred four million, two hundred thirty-two thousand, nine hundred sixty".