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4004212440 = 2335167199811
BaseRepresentation
bin1110111010101011…
…0110111011011000
3101100001122001211110
43232222312323120
531200034244230
61501200100320
7201141146514
oct35652667330
911301561743
104004212440
111775301088
129390046a0
134ba767b97
1429db2d144
151868084b0
hexeeab6ed8

4004212440 has 64 divisors (see below), whose sum is σ = 12084629760. Its totient is φ = 1061390720.

The previous prime is 4004212403. The next prime is 4004212463. The reversal of 4004212440 is 442124004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79866 + ... + 119945.

It is an arithmetic number, because the mean of its divisors is an integer number (188822340).

Almost surely, 24004212440 is an apocalyptic number.

4004212440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004212440 is an abundant number, since it is smaller than the sum of its proper divisors (8080417320).

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

4004212440 is a wasteful number, since it uses less digits than its factorization.

4004212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199992 (or 199988 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4004212440 is about 63278.8467025119. The cubic root of 4004212440 is about 1587.9580924463.

Adding to 4004212440 its reverse (442124004), we get a palindrome (4446336444).

The spelling of 4004212440 in words is "four billion, four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 4008 5010 6680 10020 20040 199811 399622 599433 799244 999055 1198866 1598488 1998110 2397732 2997165 3996220 4795464 5994330 7992440 11988660 23977320 33368437 66736874 100105311 133473748 166842185 200210622 266947496 333684370 400421244 500526555 667368740 800842488 1001053110 1334737480 2002106220 4004212440