Search a number
-
+
40320334140 = 22353121677599
BaseRepresentation
bin100101100011010001…
…110111100100111100
310212001222211012022220
4211203101313210330
51130034001143030
630304540405340
72625114120402
oct454321674474
9125058735286
1040320334140
11161108608a9
127993246850
133a5754c8a8
141d46d55472
1510aebb0a10
hex96347793c

40320334140 has 48 divisors (see below), whose sum is σ = 116538777600. Its totient is φ = 10405247040.

The previous prime is 40320334097. The next prime is 40320334163. The reversal of 40320334140 is 4143302304.

It is a super-2 number, since 2×403203341402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40320334140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10836940 + ... + 10840659.

It is an arithmetic number, because the mean of its divisors is an integer number (2427891200).

Almost surely, 240320334140 is an apocalyptic number.

It is an amenable number.

40320334140 is an abundant number, since it is smaller than the sum of its proper divisors (76218443460).

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

40320334140 is a wasteful number, since it uses less digits than its factorization.

40320334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21677642 (or 21677640 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40320334140 its reverse (4143302304), we get a palindrome (44463636444).

The spelling of 40320334140 in words is "forty billion, three hundred twenty million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 21677599 43355198 65032797 86710396 108387995 130065594 216775990 260131188 325163985 433551980 650327970 672005569 1300655940 1344011138 2016016707 2688022276 3360027845 4032033414 6720055690 8064066828 10080083535 13440111380 20160167070 40320334140