Search a number
-
+
12344666448 = 243257180551
BaseRepresentation
bin10110111111100110…
…01010100101010000
31011212022200000211110
423133303022211100
5200240213311243
65400541013320
7614624635122
oct133763124520
934768600743
1012344666448
115265273684
122486254240
1312196a117a
148516db212
154c3b53e33
hex2dfcca950

12344666448 has 20 divisors (see below), whose sum is σ = 31890388448. Its totient is φ = 4114888800.

The previous prime is 12344666447. The next prime is 12344666449. The reversal of 12344666448 is 84466644321.

It is an interprime number because it is at equal distance from previous prime (12344666447) and next prime (12344666449).

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 257180551 = 12344666448 / (1 + 2 + 3 + 4 + 4 + 6 + 6 + 6 + 4 + 4 + 8).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12344666397 and 12344666406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344666447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128590228 + ... + 128590323.

Almost surely, 212344666448 is an apocalyptic number.

It is an amenable number.

12344666448 is an abundant number, since it is smaller than the sum of its proper divisors (19545722000).

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

12344666448 is a wasteful number, since it uses less digits than its factorization.

12344666448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257180562 (or 257180556 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 12344666448 in words is "twelve billion, three hundred forty-four million, six hundred sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 257180551 514361102 771541653 1028722204 1543083306 2057444408 3086166612 4114888816 6172333224 12344666448