Search a number
-
+
10401431404 = 22713231242407
BaseRepresentation
bin10011010111111100…
…10011111101101100
3222211220010110111011
421223332103331230
5132300231301104
64440042435004
7515520464620
oct115376237554
928756113434
1010401431404
114458378401
122023502a64
13c99c10450
147095bb180
1540d255904
hex26bf93f6c

10401431404 has 48 divisors (see below), whose sum is σ = 23377148928. Its totient is φ = 3935942208.

The previous prime is 10401431389. The next prime is 10401431407. The reversal of 10401431404 is 40413410401.

It is a super-2 number, since 2×104014314042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10401431407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612832 + ... + 629575.

It is an arithmetic number, because the mean of its divisors is an integer number (487023936).

Almost surely, 210401431404 is an apocalyptic number.

10401431404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10401431404 is an abundant number, since it is smaller than the sum of its proper divisors (12975717524).

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

10401431404 is a wasteful number, since it uses less digits than its factorization.

10401431404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242454 (or 1242452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10401431404 its reverse (40413410401), we get a palindrome (50814841805).

The spelling of 10401431404 in words is "ten billion, four hundred one million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 1242407 2484814 4969628 8696849 16151291 17393698 28575361 32302582 34787396 57150722 64605164 113059037 114301444 200027527 226118074 371479693 400055054 452236148 742959386 800110108 1485918772 2600357851 5200715702 10401431404