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404000141443308 = 22337275145449863
BaseRepresentation
bin101101111011011111001110…
…0111010111000000011101100
31221222110000222111002212211000
41123312332130322320003230
5410423114242202141213
63551123034112400300
7151045022060116554
oct13366763472700354
91858400874085730
10404000141443308
111077aa552645763
1239389b25b46090
131445708573a747
1471a99d5686164
1531a8e86727c73
hex16f6f9ceb80ec

404000141443308 has 48 divisors (see below), whose sum is σ = 1048848500277760. Its totient is φ = 134481477593232.

The previous prime is 404000141443279. The next prime is 404000141443309. The reversal of 404000141443308 is 803344141000404.

404000141443308 is a `hidden beast` number, since 4 + 0 + 40 + 0 + 0 + 141 + 443 + 30 + 8 = 666.

It is a super-2 number, since 2×4040001414433082 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404000141443309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2572646416 + ... + 2572803447.

Almost surely, 2404000141443308 is an apocalyptic number.

It is an amenable number.

404000141443308 is an abundant number, since it is smaller than the sum of its proper divisors (644848358834452).

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

404000141443308 is a wasteful number, since it uses less digits than its factorization.

404000141443308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145450603 (or 5145450595 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 404000141443308 in words is "four hundred four trillion, one hundred forty-one million, four hundred forty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 727 1454 2181 2908 4362 6543 8724 13086 19629 26172 39258 78516 5145449863 10290899726 15436349589 20581799452 30872699178 46309048767 61745398356 92618097534 138927146301 185236195068 277854292602 555708585204 3740742050401 7481484100802 11222226151203 14962968201604 22444452302406 33666678453609 44888904604812 67333356907218 101000035360827 134666713814436 202000070721654 404000141443308