Search a number
-
+
40433434000331 = 293529752352517
BaseRepresentation
bin10010011000110001001000…
…11110000111101111001011
312022011101202112110120112212
421030120210132013233023
520244430133101002311
6221554510235055335
711342135121210251
oct1114304436075713
9168141675416485
1040433434000331
11119797a54397a9
12465032b2a154b
131973b19869748
149dadbabc45d1
154a1b76960c8b
hex24c624787bcb

40433434000331 has 16 divisors (see below), whose sum is σ = 41845901248800. Its totient is φ = 39022184371968.

The previous prime is 40433434000307. The next prime is 40433434000361. The reversal of 40433434000331 is 13300043433404.

40433434000331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40433434000331 is a prime.

It is a super-2 number, since 2×404334340003312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40433434000361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769885085 + ... + 769937601.

It is an arithmetic number, because the mean of its divisors is an integer number (2615368828050).

Almost surely, 240433434000331 is an apocalyptic number.

40433434000331 is a deficient number, since it is larger than the sum of its proper divisors (1412467248469).

40433434000331 is a wasteful number, since it uses less digits than its factorization.

40433434000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63598.

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 40433434000331 its reverse (13300043433404), we get a palindrome (53733477433735).

The spelling of 40433434000331 in words is "forty trillion, four hundred thirty-three billion, four hundred thirty-four million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 29 3529 7523 52517 102341 218167 1522993 26548667 185332493 395085391 769911343 5374642297 11457476339 1394256344839 40433434000331