Search a number
-
+
40534443504 = 2432881319511
BaseRepresentation
bin100101110000000010…
…101000010111110000
310212121220201002011100
4211300002220113300
51131003304143004
630342105444400
72633324041062
oct456002502760
9125556632140
1040534443504
1116210700395
127a32aa0700
133a8ca07019
141d6756b732
1510c38a5739
hex9700a85f0

40534443504 has 60 divisors (see below), whose sum is σ = 113569262352. Its totient is φ = 13496102400.

The previous prime is 40534443503. The next prime is 40534443559.

40534443504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×405344435042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40534443503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32892 + ... + 286619.

Almost surely, 240534443504 is an apocalyptic number.

It is an amenable number.

40534443504 is an abundant number, since it is smaller than the sum of its proper divisors (73034818848).

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

40534443504 is a wasteful number, since it uses less digits than its factorization.

40534443504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320406 (or 320397 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 40534443504 in words is "forty billion, five hundred thirty-four million, four hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 31716 42288 63432 126864 319511 639022 958533 1278044 1917066 2556088 2875599 3834132 5112176 5751198 7668264 11502396 15336528 23004792 46009584 281489191 562978382 844467573 1125956764 1688935146 2251913528 2533402719 3377870292 4503827056 5066805438 6755740584 10133610876 13511481168 20267221752 40534443504