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4040010007 = 1123173241383
BaseRepresentation
bin1111000011001101…
…1010100100010111
3101102112222202212021
43300303122210113
531233220310012
61504515234011
7202054342555
oct36063324427
911375882767
104040010007
111793531350
12948ba8907
134c4cbc987
142a47aabd5
15189a2a007
hexf0cda917

4040010007 has 32 divisors (see below), whose sum is σ = 4656807936. Its totient is φ = 3469171200.

The previous prime is 4040009971. The next prime is 4040010017. The reversal of 4040010007 is 7000100404.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4040010007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10548138 + ... + 10548520.

It is an arithmetic number, because the mean of its divisors is an integer number (145525248).

Almost surely, 24040010007 is an apocalyptic number.

4040010007 is a deficient number, since it is larger than the sum of its proper divisors (616797929).

4040010007 is a wasteful number, since it uses less digits than its factorization.

4040010007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4040010007 is about 63561.0730478962. The cubic root of 4040010007 is about 1592.6761633648.

The spelling of 4040010007 in words is "four billion, forty million, ten thousand, seven".

Divisors: 1 11 23 173 241 253 383 1903 2651 3979 4213 5543 8809 41693 43769 60973 66259 92303 96899 458623 728849 958939 1015333 1523957 2122969 10548329 15968419 16763527 23352659 175652609 367273637 4040010007