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4000110004 = 2211325327947
BaseRepresentation
bin1110111001101100…
…1101010110110100
3101022202220122100101
43232123031112310
531143012010004
61500532123444
7201061242202
oct35633152664
911282818311
104000110004
111772a59940
12937766584
134b995c7c7
1429d382072
15186297ba4
hexee6cd5b4

4000110004 has 24 divisors (see below), whose sum is σ = 7639194528. Its totient is φ = 1817607840.

The previous prime is 4000109947. The next prime is 4000110043.

4000110004 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129159 + ... + 157105.

It is an arithmetic number, because the mean of its divisors is an integer number (318299772).

Almost surely, 24000110004 is an apocalyptic number.

4000110004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4000110004 is a deficient number, since it is larger than the sum of its proper divisors (3639084524).

4000110004 is a wasteful number, since it uses less digits than its factorization.

4000110004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31215 (or 31213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4000110004 is about 63246.4228553679. The cubic root of 4000110004 is about 1587.4156035402.

It can be divided in two parts, 40001 and 10004, that added together give a palindrome (50005).

The spelling of 4000110004 in words is "four billion, one hundred ten thousand, four".

Divisors: 1 2 4 11 22 44 3253 6506 13012 27947 35783 55894 71566 111788 143132 307417 614834 1229668 90911591 181823182 363646364 1000027501 2000055002 4000110004