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14444335504025 = 527267607328979
BaseRepresentation
bin1101001000110001010101…
…1111001001101010011001
31220010212100120120021200222
43102030111133021222121
53343123444342112100
650415345223005425
73020366045666600
oct322142537115231
956125316507628
1014444335504025
1146698989133a9
1217534aa899875
1380a13091532b
1437d176928a37
151a0ae4c27485
hexd23157c9a99

14444335504025 has 72 divisors (see below), whose sum is σ = 21150402225120. Its totient is φ = 9754912823040.

The previous prime is 14444335503989. The next prime is 14444335504043. The reversal of 14444335504025 is 52040553344441.

14444335504025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14444335504025 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 498426986 + ... + 498455964.

It is an arithmetic number, because the mean of its divisors is an integer number (293755586460).

Almost surely, 214444335504025 is an apocalyptic number.

It is an amenable number.

14444335504025 is a deficient number, since it is larger than the sum of its proper divisors (6706066721095).

14444335504025 is a wasteful number, since it uses less digits than its factorization.

14444335504025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35143 (or 35131 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

Adding to 14444335504025 its reverse (52040553344441), we get a palindrome (66484888848466).

The spelling of 14444335504025 in words is "fourteen trillion, four hundred forty-four billion, three hundred thirty-five million, five hundred four thousand, twenty-five".

Divisors: 1 5 7 25 35 49 67 175 245 335 469 1225 1675 2345 3283 6073 11725 16415 28979 30365 42511 82075 144895 151825 202853 212555 297577 406891 724475 1014265 1062775 1419971 1487885 1941593 2034455 2848237 5071325 7099855 7439425 9707965 10172275 13591151 14241185 19937659 35499275 48539825 67955755 71205925 95138057 99688295 175989467 339778775 475690285 498441475 879947335 1231926269 2378451425 4399736675 6159631345 8623483883 11791294289 30798156725 43117419415 58956471445 82539060023 215587097075 294782357225 412695300115 577773420161 2063476500575 2888867100805 14444335504025