Search a number
-
+
2404420304013 = 327132225830779
BaseRepresentation
bin100010111111010010100…
…111100011110010001101
322111212020011222221010100
4202333102213203302031
5303343223044212023
65040324143401313
7335466530240550
oct42772247436215
98455204887110
102404420304013
1184778863aaa2
12329bab5b3239
131459748c4300
1484535b34697
15428279c0c43
hex22fd29e3c8d

2404420304013 has 36 divisors (see below), whose sum is σ = 4298011404960. Its totient is φ = 1268265649248.

The previous prime is 2404420303997. The next prime is 2404420304057. The reversal of 2404420304013 is 3104030244042.

It is a happy number.

2404420304013 is a `hidden beast` number, since 2 + 404 + 4 + 203 + 0 + 40 + 13 = 666.

It is not a de Polignac number, because 2404420304013 - 24 = 2404420303997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404420304213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112904743 + ... + 112926036.

Almost surely, 22404420304013 is an apocalyptic number.

It is an amenable number.

2404420304013 is a deficient number, since it is larger than the sum of its proper divisors (1893591100947).

2404420304013 is a wasteful number, since it uses less digits than its factorization.

2404420304013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225830818 (or 225830802 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2404420304013 its reverse (3104030244042), we get a palindrome (5508450548055).

The spelling of 2404420304013 in words is "two trillion, four hundred four billion, four hundred twenty million, three hundred four thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 10647 225830779 677492337 1580815453 2032477011 2935800127 4742446359 8807400381 14227339077 20550600889 26422201143 38165401651 61651802667 114496204953 184955408001 267157811557 343488614859 801473434671 2404420304013