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404442421299 = 3373070369697
BaseRepresentation
bin1011110001010101010…
…01011001100000110011
31102122221021202202101000
411320222221121200303
523111244224440144
6505444232413043
741135313600420
oct5705251314063
91378837682330
10404442421299
11146583226264
1266472b47183
132c1a5b04cb7
141580a1a0d47
15a7c1911769
hex5e2aa59833

404442421299 has 32 divisors (see below), whose sum is σ = 684802365440. Its totient is φ = 231099111936.

The previous prime is 404442421133. The next prime is 404442421349. The reversal of 404442421299 is 992124244404.

404442421299 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 424 + 212 + 9 + 9 = 666.

It is not a de Polignac number, because 404442421299 - 219 = 404441897011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404442421699) 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 31 ways as a sum of consecutive naturals, for example, 5768019 + ... + 5837715.

It is an arithmetic number, because the mean of its divisors is an integer number (21400073920).

Almost surely, 2404442421299 is an apocalyptic number.

404442421299 is a deficient number, since it is larger than the sum of its proper divisors (280359944141).

404442421299 is a wasteful number, since it uses less digits than its factorization.

404442421299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100416 (or 100410 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 404442421299 in words is "four hundred four billion, four hundred forty-two million, four hundred twenty-one thousand, two hundred ninety-nine".

Divisors: 1 3 7 9 21 27 63 189 30703 69697 92109 209091 214921 276327 487879 627273 644763 828981 1463637 1881819 1934289 4390911 5802867 13172733 2139906991 6419720973 14979348937 19259162919 44938046811 57777488757 134814140433 404442421299