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40320134120 = 2357220571497
BaseRepresentation
bin100101100011010001…
…000110101111101000
310212001222110000221202
4211203101012233220
51130033423242440
630304532223332
72625112325300
oct454321065750
9125058400852
1040320134120
11161107345a2
12799316ab48
133a574ac836
141d46d02600
1510aeb71615
hex963446be8

40320134120 has 48 divisors (see below), whose sum is σ = 105531784740. Its totient is φ = 13824045312.

The previous prime is 40320134119. The next prime is 40320134131. The reversal of 40320134120 is 2143102304.

It can be written as a sum of positive squares in 2 ways, for example, as 38246060356 + 2074073764 = 195566^2 + 45542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40320134092 and 40320134101.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10283789 + ... + 10287708.

Almost surely, 240320134120 is an apocalyptic number.

40320134120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320134120 is an abundant number, since it is smaller than the sum of its proper divisors (65211650620).

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

40320134120 is a wasteful number, since it uses less digits than its factorization.

40320134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20571522 (or 20571511 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40320134120 its reverse (2143102304), we get a palindrome (42463236424).

The spelling of 40320134120 in words is "forty billion, three hundred twenty million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 20571497 41142994 82285988 102857485 144000479 164571976 205714970 288000958 411429940 576001916 720002395 822859880 1008003353 1152003832 1440004790 2016006706 2880009580 4032013412 5040016765 5760019160 8064026824 10080033530 20160067060 40320134120