Search a number
-
+
10404355040 = 255136147779
BaseRepresentation
bin10011011000010010…
…11101101111100000
3222212002121222221222
421230021131233200
5132302003330130
64440225234212
7515554362422
oct115411355740
928762558858
1010404355040
114459a94a32
122024492968
13c9a6c5101
14709b3c812
1540d631ce5
hex26c25dbe0

10404355040 has 48 divisors (see below), whose sum is σ = 24598864080. Its totient is φ = 4158597120.

The previous prime is 10404355007. The next prime is 10404355043. The reversal of 10404355040 is 4055340401.

10404355040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404355043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193871 + ... + 241649.

It is an arithmetic number, because the mean of its divisors is an integer number (512476335).

Almost surely, 210404355040 is an apocalyptic number.

10404355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404355040 is an abundant number, since it is smaller than the sum of its proper divisors (14194509040).

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

10404355040 is a wasteful number, since it uses less digits than its factorization.

10404355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49155 (or 49147 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 10404355040 its reverse (4055340401), we get a palindrome (14459695441).

The spelling of 10404355040 in words is "ten billion, four hundred four million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1361 2722 5444 6805 10888 13610 21776 27220 43552 47779 54440 95558 108880 191116 217760 238895 382232 477790 764464 955580 1528928 1911160 3822320 7644640 65027219 130054438 260108876 325136095 520217752 650272190 1040435504 1300544380 2080871008 2601088760 5202177520 10404355040