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12442044340 = 22511612413847
BaseRepresentation
bin10111001011001101…
…01000011110110100
31012010002220100012001
423211212220132310
5200440130404330
65414340105044
7620216426515
oct134546503664
935102810161
1012442044340
115305234080
1224b2995184
13123390731b
14860608a0c
154cc48b9ca
hex2e59a87b4

12442044340 has 96 divisors (see below), whose sum is σ = 29098637568. Its totient is φ = 4430592000.

The previous prime is 12442044323. The next prime is 12442044347. The reversal of 12442044340 is 4344024421.

It is a junction number, because it is equal to n+sod(n) for n = 12442044299 and 12442044308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442044347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3232297 + ... + 3236143.

It is an arithmetic number, because the mean of its divisors is an integer number (303110808).

Almost surely, 212442044340 is an apocalyptic number.

12442044340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549318784).

12442044340 is an abundant number, since it is smaller than the sum of its proper divisors (16656593228).

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

12442044340 is a wasteful number, since it uses less digits than its factorization.

12442044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 12442044340 its reverse (4344024421), we get a palindrome (16786068761).

The spelling of 12442044340 in words is "twelve billion, four hundred forty-two million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 241 244 305 482 610 671 964 1205 1220 1342 2410 2651 2684 3355 3847 4820 5302 6710 7694 10604 13255 13420 14701 15388 19235 26510 29402 38470 42317 53020 58804 73505 76940 84634 147010 161711 169268 211585 234667 294020 323422 423170 469334 646844 808555 846340 927127 938668 1173335 1617110 1854254 2346670 2581337 3234220 3708508 4635635 4693340 5162674 9271270 10198397 10325348 12906685 18542540 20396794 25813370 40793588 50991985 51626740 56554747 101983970 113109494 203967940 226218988 282773735 565547470 622102217 1131094940 1244204434 2488408868 3110511085 6221022170 12442044340