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12444430032 = 2433171694503
BaseRepresentation
bin10111001011011111…
…01110111011010000
31012010021101112202000
423211233232323100
5200441233230112
65414503154000
7620245624056
oct134557567320
935107345660
1012444430032
115306613521
1224b3745900
131234261188
14860a6a1d6
154cc7ad7dc
hex2e5beeed0

12444430032 has 80 divisors (see below), whose sum is σ = 37821329280. Its totient is φ = 3904132608.

The previous prime is 12444430001. The next prime is 12444430069. The reversal of 12444430032 is 23003444421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12444429978 and 12444430005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839908 + ... + 854595.

It is an arithmetic number, because the mean of its divisors is an integer number (472766616).

Almost surely, 212444430032 is an apocalyptic number.

12444430032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12444430032 is an abundant number, since it is smaller than the sum of its proper divisors (25376899248).

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

12444430032 is a wasteful number, since it uses less digits than its factorization.

12444430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694537 (or 1694525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12444430032 its reverse (23003444421), we get a palindrome (35447874453).

The spelling of 12444430032 in words is "twelve billion, four hundred forty-four million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 1694503 3389006 5083509 6778012 10167018 13556024 15250527 20334036 27112048 28806551 30501054 40668072 45751581 57613102 61002108 81336144 86419653 91503162 115226204 122004216 172839306 183006324 230452408 244008432 259258959 345678612 366012648 460904816 518517918 691357224 732025296 777776877 1037035836 1382714448 1555553754 2074071672 3111107508 4148143344 6222215016 12444430032