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42099874590000 = 2435423269226819
BaseRepresentation
bin10011001001010001001000…
…00100011110110100110000
312112001201010122102201100110
421210220210010132310300
521004231020343340000
6225312225420221320
711603421065414343
oct1144504404366460
9175051118381313
1042099874590000
1112461502734627
12487b2a299a840
131a6500266c066
14a579054a245a
154d01aae10850
hex264a2411ed30

42099874590000 has 400 divisors, whose sum is σ = 142340691398400. Its totient is φ = 10698551424000.

The previous prime is 42099874589999. The next prime is 42099874590031. The reversal of 42099874590000 is 9547899024.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185496591 + ... + 185723409.

It is an arithmetic number, because the mean of its divisors is an integer number (355851728496).

Almost surely, 242099874590000 is an apocalyptic number.

42099874590000 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 42099874590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71170345699200).

42099874590000 is an abundant number, since it is smaller than the sum of its proper divisors (100240816808400).

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

42099874590000 is a wasteful number, since it uses less digits than its factorization.

42099874590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227142 (or 227121 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 42099874590000 in words is "forty-two trillion, ninety-nine billion, eight hundred seventy-four million, five hundred ninety thousand".