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12344201040 = 243551434171
BaseRepresentation
bin10110111111100010…
…11000111101010000
31011212021210101102010
423133301120331100
5200240103413130
65400523022520
7614620656213
oct133761307520
934767711363
1012344201040
115264a85a46
12248606aa40
13121956a392
1485161977a
154c3ab10b0
hex2dfc58f50

12344201040 has 40 divisors (see below), whose sum is σ = 38267023968. Its totient is φ = 3291786880.

The previous prime is 12344201027. The next prime is 12344201053. The reversal of 12344201040 is 4010244321.

It is an interprime number because it is at equal distance from previous prime (12344201027) and next prime (12344201053).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12344200998 and 12344201016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25716846 + ... + 25717325.

Almost surely, 212344201040 is an apocalyptic number.

12344201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344201040 is an abundant number, since it is smaller than the sum of its proper divisors (25922822928).

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

12344201040 is a wasteful number, since it uses less digits than its factorization.

12344201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51434187 (or 51434181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12344201040 its reverse (4010244321), we get a palindrome (16354445361).

The spelling of 12344201040 in words is "twelve billion, three hundred forty-four million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 51434171 102868342 154302513 205736684 257170855 308605026 411473368 514341710 617210052 771512565 822946736 1028683420 1234420104 1543025130 2057366840 2468840208 3086050260 4114733680 6172100520 12344201040