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12444031440 = 2432543401939
BaseRepresentation
bin10111001011011100…
…01101100111010000
31012010020122021222100
423211232031213100
5200441133001230
65414450440400
7620242344021
oct134556154720
935106567870
1012444031440
115306371005
1224b3593100
131234151919
148609a4c48
154cc730660
hex2e5b8d9d0

12444031440 has 120 divisors (see below), whose sum is σ = 42763200480. Its totient is φ = 3241228032.

The previous prime is 12444031393. The next prime is 12444031441. The reversal of 12444031440 is 4413044421.

12444031440 is a `hidden beast` number, since 1 + 244 + 403 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444031441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170010 + ... + 231929.

It is an arithmetic number, because the mean of its divisors is an integer number (356360004).

Almost surely, 212444031440 is an apocalyptic number.

12444031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444031440 is an abundant number, since it is smaller than the sum of its proper divisors (30319169040).

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

12444031440 is a wasteful number, since it uses less digits than its factorization.

12444031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402001 (or 401992 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12444031440 its reverse (4413044421), we get a palindrome (16857075861).

The spelling of 12444031440 in words is "twelve billion, four hundred forty-four million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 401939 803878 1205817 1607756 2009695 2411634 3215512 3617451 4019390 4823268 6029085 6431024 7234902 8038780 9646536 12058170 14469804 16077560 17283377 18087255 19293072 24116340 28939608 32155120 34566754 36174510 48232680 51850131 57879216 69133508 72349020 86416885 96465360 103700262 138267016 144698040 155550393 172833770 207400524 259250655 276534032 289396080 311100786 345667540 414801048 518501310 622201572 691335080 777751965 829602096 1037002620 1244403144 1382670160 1555503930 2074005240 2488806288 3111007860 4148010480 6222015720 12444031440