Search a number
-
+
10400404332 = 2235317879151
BaseRepresentation
bin10011010111110100…
…11001001101101100
3222211211012021121110
421223322121031230
5132300000414312
64440004432020
7515505656343
oct115372311554
928754167543
1010400404332
11445783678a
1220230a8610
13c99940b06
147093d0b5a
1540d10143c
hex26be9936c

10400404332 has 48 divisors (see below), whose sum is σ = 24742029312. Its totient is φ = 3399115200.

The previous prime is 10400404331. The next prime is 10400404337. The reversal of 10400404332 is 23340400401.

It is a junction number, because it is equal to n+sod(n) for n = 10400404299 and 10400404308.

It is not an unprimeable number, because it can be changed into a prime (10400404331) by changing a digit.

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, 1131957 + ... + 1141107.

It is an arithmetic number, because the mean of its divisors is an integer number (515458944).

Almost surely, 210400404332 is an apocalyptic number.

10400404332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400404332 is an abundant number, since it is smaller than the sum of its proper divisors (14341624980).

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

10400404332 is a wasteful number, since it uses less digits than its factorization.

10400404332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10400404332 its reverse (23340400401), we get a palindrome (33740804733).

The spelling of 10400404332 in words is "ten billion, four hundred million, four hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 1787 3574 5361 7148 9151 10722 18302 21444 27453 36604 54906 94711 109812 189422 284133 378844 485003 568266 970006 1136532 1455009 1940012 2910018 5820036 16352837 32705674 49058511 65411348 98117022 196234044 866700361 1733400722 2600101083 3466801444 5200202166 10400404332