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4003744538343 = 311432821525397
BaseRepresentation
bin111010010000110001110…
…001010101111011100111
3112011202100211200221212110
4322100301301111323213
51011044132100211333
612303143404252103
7562155344026404
oct72206161257347
915152324627773
104003744538343
111303a84461760
12547b51b41033
132307228147b4
14dbad47952ab
156e22eabd063
hex3a431c55ee7

4003744538343 has 16 divisors (see below), whose sum is σ = 5959061640576. Its totient is φ = 2370081332640.

The previous prime is 4003744538303. The next prime is 4003744538363. The reversal of 4003744538343 is 3438354473004.

It is not a de Polignac number, because 4003744538343 - 26 = 4003744538279 is a prime.

It is a super-2 number, since 2×40037445383432 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4003744538292 and 4003744538301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003744538303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1410761280 + ... + 1410764117.

It is an arithmetic number, because the mean of its divisors is an integer number (372441352536).

Almost surely, 24003744538343 is an apocalyptic number.

4003744538343 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

4003744538343 is a deficient number, since it is larger than the sum of its proper divisors (1955317102233).

4003744538343 is a wasteful number, since it uses less digits than its factorization.

4003744538343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821525454.

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 4003744538343 in words is "four trillion, three billion, seven hundred forty-four million, five hundred thirty-eight thousand, three hundred forty-three".

Divisors: 1 3 11 33 43 129 473 1419 2821525397 8464576191 31036779367 93110338101 121325592071 363976776213 1334581512781 4003744538343