Search a number
-
+
40320323240 = 2351774997907
BaseRepresentation
bin100101100011010001…
…110100111010101000
310212001222210122101012
4211203101310322220
51130034000320430
630304540243052
72625114043541
oct454321647250
9125058718335
1040320323240
111611085369a
127993240488
133a57547942
141d46d514c8
1510aebac695
hex963474ea8

40320323240 has 64 divisors (see below), whose sum is σ = 96082200000. Its totient is φ = 15175472128.

The previous prime is 40320323227. The next prime is 40320323261. The reversal of 40320323240 is 4232302304.

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 15 ways as a sum of consecutive naturals, for example, 5095367 + ... + 5103273.

It is an arithmetic number, because the mean of its divisors is an integer number (1501284375).

Almost surely, 240320323240 is an apocalyptic number.

40320323240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320323240 is an abundant number, since it is smaller than the sum of its proper divisors (55761876760).

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

40320323240 is a wasteful number, since it uses less digits than its factorization.

40320323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434 (or 15430 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 40320323240 its reverse (4232302304), we get a palindrome (44552625544).

The spelling of 40320323240 in words is "forty billion, three hundred twenty million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 7499 7907 14998 15814 29996 31628 37495 39535 59992 63256 74990 79070 127483 134419 149980 158140 254966 268838 299960 316280 509932 537676 637415 672095 1019864 1075352 1274830 1344190 2549660 2688380 5099320 5376760 59294593 118589186 237178372 296472965 474356744 592945930 1008008081 1185891860 2016016162 2371783720 4032032324 5040040405 8064064648 10080080810 20160161620 40320323240