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199341408000 = 2835372311367
BaseRepresentation
bin1011100110100110101…
…1000111111100000000
3201001112110000202010010
42321221223013330000
511231222400024000
6231324242104520
720254603003500
oct2715153077400
9631473022103
10199341408000
11775a4034299
123277304b140
1315a4aa4a477
149910845a00
1552ba730d50
hex2e69ac7f00

199341408000 has 864 divisors, whose sum is σ = 795639656448. Its totient is φ = 44061696000.

The previous prime is 199341407959. The next prime is 199341408017. The reversal of 199341408000 is 804143991.

199341408000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 199341408000.

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 95 ways as a sum of consecutive naturals, for example, 145823317 + ... + 145824683.

It is an arithmetic number, because the mean of its divisors is an integer number (920879232).

Almost surely, 2199341408000 is an apocalyptic number.

199341408000 is a gapful number since it is divisible by the number (10) 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 199341408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397819828224).

199341408000 is an abundant number, since it is smaller than the sum of its proper divisors (596298248448).

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

199341408000 is a wasteful number, since it uses less digits than its factorization.

199341408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 199341408000 in words is "one hundred ninety-nine billion, three hundred forty-one million, four hundred eight thousand".