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12414412024 = 2373179131691
BaseRepresentation
bin10111000111111010…
…01110010011111000
31012001011220110202221
423203331032103320
5200411042141044
65411511533424
7616432522030
oct134375162370
935034813687
1012414412024
1152a0680553
1224a568a274
13122ac80c41
1485aa948c0
154c9d2e484
hex2e3f4e4f8

12414412024 has 128 divisors (see below), whose sum is σ = 28060876800. Its totient is φ = 5037552000.

The previous prime is 12414411991. The next prime is 12414412079. The reversal of 12414412024 is 42021441421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12414412024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17965519 + ... + 17966209.

It is an arithmetic number, because the mean of its divisors is an integer number (219225600).

Almost surely, 212414412024 is an apocalyptic number.

12414412024 is a gapful number since it is divisible by the number (14) 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 12414412024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030438400).

12414412024 is an abundant number, since it is smaller than the sum of its proper divisors (15646464776).

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

12414412024 is a wasteful number, since it uses less digits than its factorization.

12414412024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 12414412024 its reverse (42021441421), we get a palindrome (54435853445).

The spelling of 12414412024 in words is "twelve billion, four hundred fourteen million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 79 124 131 158 217 248 262 316 434 524 553 632 691 868 917 1048 1106 1382 1736 1834 2212 2449 2764 3668 4061 4424 4837 4898 5528 7336 8122 9674 9796 10349 16244 17143 19348 19592 20698 21421 28427 32488 34286 38696 41396 42842 54589 56854 68572 72443 82792 85684 90521 109178 113708 137144 144886 149947 171368 181042 218356 227416 289772 299894 320819 362084 382123 436712 579544 599788 633647 641638 724168 764246 1199576 1267294 1283276 1528492 1692259 2245733 2534588 2566552 2806151 3056984 3384518 4491466 5069176 5612302 6769036 7151159 8982932 11224604 11845813 13538072 14302318 17965864 19643057 22449208 23691626 28604636 39286114 47383252 50058113 57209272 78572228 94766504 100116226 157144456 200232452 221685929 400464904 443371858 886743716 1551801503 1773487432 3103603006 6207206012 12414412024