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12441363240 = 2335103678027
BaseRepresentation
bin10111001011001000…
…00010001100101000
31012010001121201220010
423211210002030220
5200434442110430
65414313331520
7620210562015
oct134544021450
935101551803
1012441363240
115304909389
1224b2706ba0
1312337292c7
148604ac70c
154cc3a4cb0
hex2e5902328

12441363240 has 32 divisors (see below), whose sum is σ = 37324090080. Its totient is φ = 3317696832.

The previous prime is 12441363199. The next prime is 12441363241. The reversal of 12441363240 is 4236314421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12441363198 and 12441363207.

It is not an unprimeable number, because it can be changed into a prime (12441363241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51838894 + ... + 51839133.

It is an arithmetic number, because the mean of its divisors is an integer number (1166377815).

Almost surely, 212441363240 is an apocalyptic number.

12441363240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441363240 is an abundant number, since it is smaller than the sum of its proper divisors (24882726840).

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

12441363240 is a wasteful number, since it uses less digits than its factorization.

12441363240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103678041 (or 103678037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12441363240 its reverse (4236314421), we get a palindrome (16677677661).

The spelling of 12441363240 in words is "twelve billion, four hundred forty-one million, three hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103678027 207356054 311034081 414712108 518390135 622068162 829424216 1036780270 1244136324 1555170405 2073560540 2488272648 3110340810 4147121080 6220681620 12441363240