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4004144240 = 245271184693
BaseRepresentation
bin1110111010101010…
…0110010001110000
3101100001111121021112
43232222212101300
531200030103430
61501154412452
7201140443625
oct35652462160
911301447245
104004144240
111775264918
12938b91128
134ba742b25
1429db1234c
151867e3195
hexeeaa6470

4004144240 has 40 divisors (see below), whose sum is σ = 9344038848. Its totient is φ = 1595738880.

The previous prime is 4004144237. The next prime is 4004144251. The reversal of 4004144240 is 424414004.

4004144240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70667 + ... + 114026.

Almost surely, 24004144240 is an apocalyptic number.

4004144240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004144240 is an abundant number, since it is smaller than the sum of its proper divisors (5339894608).

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

4004144240 is a wasteful number, since it uses less digits than its factorization.

4004144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184977 (or 184971 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4004144240 is about 63278.3078155540. The cubic root of 4004144240 is about 1587.9490769941.

Adding to 4004144240 its reverse (424414004), we get a palindrome (4428558244).

The spelling of 4004144240 in words is "four billion, four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 1084 1355 2168 2710 4336 5420 10840 21680 184693 369386 738772 923465 1477544 1846930 2955088 3693860 7387720 14775440 50051803 100103606 200207212 250259015 400414424 500518030 800828848 1001036060 2002072120 4004144240