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4002044402004 = 2231122756228927
BaseRepresentation
bin111010001111001100011…
…011110101100101010100
3112011120222100121002020220
4322033030123311211110
51011032141331331004
612302302552354340
7562065251065605
oct72171433654524
915146870532226
104002044402004
111303291806100
125477586a59b0
1323051151b16c
14db9b2a75dac
156e1806dddd9
hex3a3cc6f5954

4002044402004 has 36 divisors (see below), whose sum is σ = 10264196527872. Its totient is φ = 1212740727440.

The previous prime is 4002044402003. The next prime is 4002044402051.

4002044402004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40020444020042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002044402003) 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 11 ways as a sum of consecutive naturals, for example, 1378113012 + ... + 1378115915.

Almost surely, 24002044402004 is an apocalyptic number.

4002044402004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002044402004 is an abundant number, since it is smaller than the sum of its proper divisors (6262152125868).

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

4002044402004 is a wasteful number, since it uses less digits than its factorization.

4002044402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756228956 (or 2756228943 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 4002044402004 in words is "four trillion, two billion, forty-four million, four hundred two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2756228927 5512457854 8268686781 11024915708 16537373562 30318518197 33074747124 60637036394 90955554591 121274072788 181911109182 333503700167 363822218364 667007400334 1000511100501 1334014800668 2001022201002 4002044402004