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99440026313040 = 243657415941031
BaseRepresentation
bin10110100111000010101111…
…011100011110000101010000
3111001002101002102000212000000
4112213002233130132011100
5101013211133214004130
6551254041211130000
726642206360266360
oct2647025734360520
9431071072025000
1099440026313040
1129759307504036
12b1a0187743900
134364200b51a4a
141a7accc8289a0
15b769e38d5260
hex5a70af71e150

99440026313040 has 560 divisors, whose sum is σ = 405820774308096. Its totient is φ = 22174775654400.

The previous prime is 99440026312951. The next prime is 99440026313077. The reversal of 99440026313040 is 4031362004499.

99440026313040 is a `hidden beast` number, since 9 + 9 + 4 + 4 + 0 + 0 + 2 + 631 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13767325 + ... + 19708355.

Almost surely, 299440026313040 is an apocalyptic number.

99440026313040 is a gapful number since it is divisible by the number (90) 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 99440026313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202910387154048).

99440026313040 is an abundant number, since it is smaller than the sum of its proper divisors (306380747995056).

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

99440026313040 is a wasteful number, since it uses less digits than its factorization.

99440026313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941110 (or 5941089 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 99440026313040 in words is "ninety-nine trillion, four hundred forty billion, twenty-six million, three hundred thirteen thousand, forty".