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14444430001425 = 32521719319566433
BaseRepresentation
bin1101001000110001101100…
…0111101000010100010001
31220010212121011101020202200
43102030123013220110101
53343124143040021200
650415402440233413
73020401304133324
oct322143307502421
956125534336680
1014444430001425
114669937196726
12175351646b869
1380a147380358
1437d1852c67bb
151a0aed191800
hexd231b1e8511

14444430001425 has 72 divisors (see below), whose sum is σ = 27535372973784. Its totient is φ = 7212969492480.

The previous prime is 14444430001343. The next prime is 14444430001433. The reversal of 14444430001425 is 52410003444441.

14444430001425 is a `hidden beast` number, since 1 + 44 + 44 + 430 + 0 + 0 + 142 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3591938448081 + 10852491553344 = 1895241^2 + 3294312^2 .

It is not a de Polignac number, because 14444430001425 - 242 = 10046383490321 is a prime.

It is a super-3 number, since 3×144444300014253 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14444430001425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9044992 + ... + 10521441.

It is an arithmetic number, because the mean of its divisors is an integer number (382435735747).

Almost surely, 214444430001425 is an apocalyptic number.

14444430001425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14444430001425 is a deficient number, since it is larger than the sum of its proper divisors (13090942972359).

14444430001425 is a wasteful number, since it uses less digits than its factorization.

14444430001425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19566659 (or 19566651 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 14444430001425 its reverse (52410003444441), we get a palindrome (66854433445866).

The spelling of 14444430001425 in words is "fourteen trillion, four hundred forty-four billion, four hundred thirty million, one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 193 225 255 425 579 765 965 1275 1737 2895 3281 3825 4825 8685 9843 14475 16405 29529 43425 49215 82025 147645 246075 738225 19566433 58699299 97832165 176097897 293496495 332629361 489160825 880489485 997888083 1467482475 1663146805 2993664249 3776321569 4402447425 4989440415 8315734025 11328964707 14968321245 18881607845 24947202075 33986894121 56644823535 64197466673 74841606225 94408039225 169934470605 192592400019 283224117675 320987333365 577777200057 849672353025 962962000095 1604936666825 2888886000285 4814810000475 14444430001425