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14032244202432 = 263327972228393
BaseRepresentation
bin1100110000110010001011…
…1011100101101111000000
31211200110200020002011010020
43030030202323211233000
53314401014003434212
645502153552133440
72645540043505461
oct314144273455700
954613606064106
1014032244202432
11452005003a175
1216a7662237280
137aa309255c81
1436724297cd68
15195026a75d8c
hexcc322ee5bc0

14032244202432 has 56 divisors (see below), whose sum is σ = 37128128137296. Its totient is φ = 4677270018048.

The previous prime is 14032244202421. The next prime is 14032244202439. The reversal of 14032244202432 is 23420244223041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14032244202393 and 14032244202402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032244202439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5182828 + ... + 7411220.

It is an arithmetic number, because the mean of its divisors is an integer number (663002288166).

Almost surely, 214032244202432 is an apocalyptic number.

14032244202432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14032244202432 is an abundant number, since it is smaller than the sum of its proper divisors (23095883934864).

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

14032244202432 is a wasteful number, since it uses less digits than its factorization.

14032244202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261205 (or 2261195 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 14032244202432 its reverse (23420244223041), we get a palindrome (37452488425473).

The spelling of 14032244202432 in words is "fourteen trillion, thirty-two billion, two hundred forty-four million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 32797 65594 98391 131188 196782 262376 393564 524752 787128 1049504 1574256 2099008 2228393 3148512 4456786 6297024 6685179 8913572 13370358 17827144 26740716 35654288 53481432 71308576 106962864 142617152 213925728 427851456 73084605221 146169210442 219253815663 292338420884 438507631326 584676841768 877015262652 1169353683536 1754030525304 2338707367072 3508061050608 4677414734144 7016122101216 14032244202432