Search a number
-
+
13404334032 = 2433311000921
BaseRepresentation
bin11000111101111010…
…11110011111010000
31021121011121201111000
430132331132133100
5204423002142112
610054033222000
7653112650025
oct143675363720
937534551430
1013404334032
115759440611
122721101900
13135809cbcb
1491233b54c
15536bbe7dc
hex31ef5e7d0

13404334032 has 80 divisors (see below), whose sum is σ = 39716584960. Its totient is φ = 4323974400.

The previous prime is 13404334019. The next prime is 13404334037. The reversal of 13404334032 is 23043340431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13404333987 and 13404334005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404334037) 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, 487069 + ... + 513852.

It is an arithmetic number, because the mean of its divisors is an integer number (496457312).

Almost surely, 213404334032 is an apocalyptic number.

13404334032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13404334032 is an abundant number, since it is smaller than the sum of its proper divisors (26312250928).

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

13404334032 is a wasteful number, since it uses less digits than its factorization.

13404334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000969 (or 1000957 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13404334032 its reverse (23043340431), we get a palindrome (36447674463).

The spelling of 13404334032 in words is "thirteen billion, four hundred four million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 1000921 2001842 3002763 4003684 6005526 8007368 9008289 12011052 16014736 18016578 24022104 27024867 31028551 36033156 48044208 54049734 62057102 72066312 93085653 108099468 124114204 144132624 186171306 216198936 248228408 279256959 372342612 432397872 496456816 558513918 744685224 837770877 1117027836 1489370448 1675541754 2234055672 3351083508 4468111344 6702167016 13404334032