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14354120055232 = 264119913274711
BaseRepresentation
bin1101000011100001010000…
…1110100001100111000000
31212211020111022021122101201
43100320110032201213000
53340134214213231412
650310105224510544
73011023322223466
oct320702416414700
955736438248351
1014354120055232
114634603618461
121739b1191b454
1380178428a079
14378a59186836
1519d5b49dde57
hexd0e143a19c0

14354120055232 has 56 divisors (see below), whose sum is σ = 29180259172512. Its totient is φ = 7001632665600.

The previous prime is 14354120055217. The next prime is 14354120055239. The reversal of 14354120055232 is 23255002145341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14354120055191 and 14354120055200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14354120055239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52114357 + ... + 52389067.

It is an arithmetic number, because the mean of its divisors is an integer number (521076056652).

Almost surely, 214354120055232 is an apocalyptic number.

It is an amenable number.

14354120055232 is an abundant number, since it is smaller than the sum of its proper divisors (14826139117280).

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

14354120055232 is a wasteful number, since it uses less digits than its factorization.

14354120055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294677 (or 294667 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 14354120055232 in words is "fourteen trillion, three hundred fifty-four billion, one hundred twenty million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 19913 39826 79652 159304 274711 318608 549422 637216 816433 1098844 1274432 1632866 2197688 3265732 4395376 6531464 8790752 11263151 13062928 17581504 22526302 26125856 45052604 52251712 90105208 180210416 360420832 720841664 5470320143 10940640286 21881280572 43762561144 87525122288 175050244576 224283125863 350100489152 448566251726 897132503452 1794265006904 3588530013808 7177060027616 14354120055232