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4002044331195 = 3251132113729997
BaseRepresentation
bin111010001111001100011…
…011100100010010111011
3112011120222100110111010100
4322033030123210102323
51011032141322044240
612302302551050443
7562065250352301
oct72171433442273
915146870414110
104002044331195
111303291767989
12547758670a23
132305114c4b71
14db9b2a58271
156e1806c7e30
hex3a3cc6e44bb

4002044331195 has 48 divisors (see below), whose sum is σ = 7031434149792. Its totient is φ = 2105508142080.

The previous prime is 4002044331167. The next prime is 4002044331239. The reversal of 4002044331195 is 5911334402004.

4002044331195 is a `hidden beast` number, since 4 + 0 + 0 + 20 + 443 + 3 + 1 + 195 = 666.

It is not a de Polignac number, because 4002044331195 - 25 = 4002044331163 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 792064 + ... + 2937933.

It is an arithmetic number, because the mean of its divisors is an integer number (146488211454).

Almost surely, 24002044331195 is an apocalyptic number.

4002044331195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4002044331195 is a deficient number, since it is larger than the sum of its proper divisors (3029389818597).

4002044331195 is a wasteful number, since it uses less digits than its factorization.

4002044331195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730332 (or 3730329 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 4002044331195 its reverse (5911334402004), we get a palindrome (9913378733199).

The spelling of 4002044331195 in words is "four trillion, two billion, forty-four million, three hundred thirty-one thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 45 113 211 339 565 633 1017 1055 1695 1899 3165 5085 9495 23843 71529 119215 214587 357645 1072935 3729997 11189991 18649985 33569973 55949955 167849865 421489661 787029367 1264468983 2107448305 2361088101 3793406949 3935146835 6322344915 7083264303 11805440505 18967034745 35416321515 88934318471 266802955413 444671592355 800408866239 1334014777065 4002044331195