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4040312320 = 29511143477
BaseRepresentation
bin1111000011010010…
…0100011000000000
3101102120120010120001
43300310210120000
531233304443240
61504525525344
7202060042132
oct36064443000
911376503501
104040312320
1117937184a0
12949113854
134c5097465
142a4849052
15189a8989a
hexf0d24600

4040312320 has 80 divisors (see below), whose sum is σ = 10568015568. Its totient is φ = 1469194240.

The previous prime is 4040312317. The next prime is 4040312351. The reversal of 4040312320 is 232130404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43579 + ... + 99898.

Almost surely, 24040312320 is an apocalyptic number.

4040312320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040312320 is an abundant number, since it is smaller than the sum of its proper divisors (6527703248).

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

4040312320 is a wasteful number, since it uses less digits than its factorization.

4040312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143511 (or 143495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4040312320 is about 63563.4511334934. The cubic root of 4040312320 is about 1592.7158889017.

Adding to 4040312320 its reverse (232130404), we get a palindrome (4272442724).

It can be divided in two parts, 404031 and 2320, that added together give a triangular number (406351 = T901).

The spelling of 4040312320 in words is "four billion, forty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 143477 286954 573908 717385 1147816 1434770 1578247 2295632 2869540 3156494 4591264 5739080 6312988 7891235 9182528 11478160 12625976 15782470 18365056 22956320 25251952 31564940 36730112 45912640 50503904 63129880 73460224 91825280 101007808 126259760 183650560 202015616 252519520 367301120 404031232 505039040 808062464 1010078080 2020156160 4040312320