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4100204323424 = 251122274664921
BaseRepresentation
bin111011101010100111001…
…110001110001001100000
3112111222100021210202020002
4323222213032032021200
51014134204301322144
612415335144235132
7602141612463536
oct73524716161140
915458307722202
104100204323424
1113409834a2a00
1256279216baa8
13239855a472c1
1410264558a156
15719c810514e
hex3baa738e260

4100204323424 has 72 divisors (see below), whose sum is σ = 8911922967864. Its totient is φ = 1855518579200.

The previous prime is 4100204323361. The next prime is 4100204323441. The reversal of 4100204323424 is 4243234020014.

4100204323424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1453517 + ... + 3211404.

It is an arithmetic number, because the mean of its divisors is an integer number (123776707887).

Almost surely, 24100204323424 is an apocalyptic number.

4100204323424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4100204323424 is an abundant number, since it is smaller than the sum of its proper divisors (4811718644440).

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

4100204323424 is a wasteful number, since it uses less digits than its factorization.

4100204323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665180 (or 4665161 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4100204323424 its reverse (4243234020014), we get a palindrome (8343438343438).

The spelling of 4100204323424 in words is "four trillion, one hundred billion, two hundred four million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 227 242 352 454 484 908 968 1816 1936 2497 3632 3872 4994 7264 9988 19976 27467 39952 54934 79904 109868 219736 439472 878944 4664921 9329842 18659684 37319368 51314131 74638736 102628262 149277472 205256524 410513048 564455441 821026096 1058937067 1128910882 1642052192 2117874134 2257821764 4235748268 4515643528 8471496536 9031287056 11648307737 16942993072 18062574112 23296615474 33885986144 46593230948 93186461896 128131385107 186372923792 256262770214 372745847584 512525540428 1025051080856 2050102161712 4100204323424