Search a number
-
+
12354335444 = 2211597876047
BaseRepresentation
bin10111000000110000…
…00011001011010100
31011212222212021012102
423200120003023110
5200300202213234
65401524141232
7615103055453
oct134030031324
934788767172
1012354335444
11526a778090
122489537818
13121b6a8179
14852ad6b9a
154c4913c7e
hex2e06032d4

12354335444 has 48 divisors (see below), whose sum is σ = 24019752960. Its totient is φ = 5512500960.

The previous prime is 12354335431. The next prime is 12354335459. The reversal of 12354335444 is 44453345321.

It is a junction number, because it is equal to n+sod(n) for n = 12354335398 and 12354335407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040029 + ... + 2046075.

It is an arithmetic number, because the mean of its divisors is an integer number (500411520).

Almost surely, 212354335444 is an apocalyptic number.

It is an amenable number.

12354335444 is a deficient number, since it is larger than the sum of its proper divisors (11665417516).

12354335444 is a wasteful number, since it uses less digits than its factorization.

12354335444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6906 counting only the distinct ones).

The product of its digits is 345600, while the sum is 38.

The spelling of 12354335444 in words is "twelve billion, three hundred fifty-four million, three hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 59 118 236 649 787 1298 1574 2596 3148 6047 8657 12094 17314 24188 34628 46433 66517 92866 133034 185732 266068 356773 510763 713546 1021526 1427092 2043052 3924503 4758989 7849006 9517978 15698012 19035956 52348879 104697758 209395516 280780351 561560702 1123121404 3088583861 6177167722 12354335444