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12444402432 = 283711210437
BaseRepresentation
bin10111001011011111…
…01000001100000000
31012010021100010212210
423211233220030000
5200441231334212
65414502422120
7620245450440
oct134557501400
935107303783
1012444402432
1153065a4810
1224b3731940
131234251747
14860a60120
154cc7a553c
hex2e5be8300

12444402432 has 144 divisors (see below), whose sum is σ = 41292986112. Its totient is φ = 3232296960.

The previous prime is 12444402427. The next prime is 12444402433. The reversal of 12444402432 is 23420444421.

It is a self number, because there is not a number n which added to its sum of digits gives 12444402432.

It is not an unprimeable number, because it can be changed into a prime (12444402433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46083 + ... + 164354.

It is an arithmetic number, because the mean of its divisors is an integer number (286756848).

Almost surely, 212444402432 is an apocalyptic number.

12444402432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12444402432 is an abundant number, since it is smaller than the sum of its proper divisors (28848583680).

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

12444402432 is a wasteful number, since it uses less digits than its factorization.

12444402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210474 (or 210460 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 12444402432 its reverse (23420444421), we get a palindrome (35864846853).

The spelling of 12444402432 in words is "twelve billion, four hundred forty-four million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 59136 210437 420874 631311 841748 1262622 1473059 1683496 2314807 2525244 2946118 3366992 4419177 4629614 5050488 5892236 6733984 6944421 8838354 9259228 10100976 11784472 13467968 13888842 16203649 17676708 18518456 20201952 23568944 26935936 27777684 32407298 35353416 37036912 40403904 47137888 48610947 53871872 55555368 64814596 70706832 74073824 80807808 94275776 97221894 111110736 129629192 141413664 148147648 161615616 188551552 194443788 222221472 259258384 282827328 296295296 377103104 388887576 444442944 518516768 565654656 592590592 777775152 888885888 1037033536 1131309312 1555550304 1777771776 2074067072 3111100608 4148134144 6222201216 12444402432