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4040668144 = 242459102701
BaseRepresentation
bin1111000011010111…
…1011001111110000
3101102121020012122201
43300311323033300
531233402340034
61504541312544
7202063053412
oct36065731760
911377205581
104040668144
111793940867
12949265754
134c51903c6
142a48dc9b2
15189b0a014
hexf0d7b3f0

4040668144 has 20 divisors (see below), whose sum is σ = 7832054520. Its totient is φ = 2019492800.

The previous prime is 4040668141. The next prime is 4040668147. The reversal of 4040668144 is 4418660404.

It is an interprime number because it is at equal distance from previous prime (4040668141) and next prime (4040668147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040668141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12007 + ... + 90694.

It is an arithmetic number, because the mean of its divisors is an integer number (391602726).

Almost surely, 24040668144 is an apocalyptic number.

It is an amenable number.

4040668144 is a deficient number, since it is larger than the sum of its proper divisors (3791386376).

4040668144 is a wasteful number, since it uses less digits than its factorization.

4040668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105168 (or 105162 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 4040668144 is about 63566.2500388374. The cubic root of 4040668144 is about 1592.7626435300.

The spelling of 4040668144 in words is "four billion, forty million, six hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 2459 4918 9836 19672 39344 102701 205402 410804 821608 1643216 252541759 505083518 1010167036 2020334072 4040668144