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12324244412430 = 2325787175399257
BaseRepresentation
bin1011001101010111011000…
…1101011101100000001110
31121122012000210010220001200
42303111312031131200032
53103410023032144210
642113402453050330
72411253160026126
oct263256615354016
947565023126050
1012324244412430
113a21756750a95
1214706306269a6
136b522c351b62
143086d49bdc86
151658adc9e0c0
hexb357635d80e

12324244412430 has 96 divisors (see below), whose sum is σ = 32102376512544. Its totient is φ = 3280383802368.

The previous prime is 12324244412423. The next prime is 12324244412449. The reversal of 12324244412430 is 3421444242321.

12324244412430 is a `hidden beast` number, since 1 + 2 + 324 + 244 + 41 + 24 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124115362 + ... + 124214618.

It is an arithmetic number, because the mean of its divisors is an integer number (334399755339).

Almost surely, 212324244412430 is an apocalyptic number.

12324244412430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12324244412430 is an abundant number, since it is smaller than the sum of its proper divisors (19778132100114).

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

12324244412430 is a wasteful number, since it uses less digits than its factorization.

12324244412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101810 (or 101807 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12324244412430 its reverse (3421444242321), we get a palindrome (15745688654751).

The spelling of 12324244412430 in words is "twelve trillion, three hundred twenty-four billion, two hundred forty-four million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 787 1574 1753 2361 3506 3935 4722 5259 7083 7870 8765 10518 11805 14166 15777 17530 23610 26295 31554 35415 52590 70830 78885 99257 157770 198514 297771 496285 595542 893313 992570 1379611 1488855 1786626 2759222 2977710 4138833 4466565 6898055 8277666 8933130 12416499 13796110 20694165 24832998 41388330 62082495 78115259 124164990 156230518 173997521 234345777 347995042 390576295 468691554 521992563 703037331 781152590 869987605 1043985126 1171728885 1406074662 1565977689 1739975210 2343457770 2609962815 3131955378 3515186655 5219925630 7030373310 7829888445 15659776890 136936049027 273872098054 410808147081 684680245135 821616294162 1232424441243 1369360490270 2054040735405 2464848882486 4108081470810 6162122206215 12324244412430