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14132040452325 = 3252193397819737
BaseRepresentation
bin1100110110100101111101…
…0000000100100011100101
31212001000021012022220202200
43031221133100010203211
53323014404323433300
650020100400125113
72656002064600365
oct315513720044345
955030235286680
1014132040452325
114559401460854
121702a73906799
137b6851797503
1436bdcc9229a5
15197917e65200
hexcda5f4048e5

14132040452325 has 72 divisors (see below), whose sum is σ = 25507325013768. Its totient is φ = 7479140106240.

The previous prime is 14132040452317. The next prime is 14132040452329. The reversal of 14132040452325 is 52325404023141.

It is a happy number.

14132040452325 is a `hidden beast` number, since 1 + 4 + 1 + 320 + 4 + 0 + 4 + 5 + 2 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4560881326884 + 9571159125441 = 2135622^2 + 3093729^2 .

It is not a de Polignac number, because 14132040452325 - 23 = 14132040452317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14132040452325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132040452329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16829857 + ... + 17649593.

It is an arithmetic number, because the mean of its divisors is an integer number (354268402969).

Almost surely, 214132040452325 is an apocalyptic number.

14132040452325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14132040452325 is a deficient number, since it is larger than the sum of its proper divisors (11375284561443).

14132040452325 is a wasteful number, since it uses less digits than its factorization.

14132040452325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820343 (or 820335 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14132040452325 its reverse (52325404023141), we get a palindrome (66457444475466).

The spelling of 14132040452325 in words is "fourteen trillion, one hundred thirty-two billion, forty million, four hundred fifty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 193 225 397 579 965 1191 1737 1985 2895 3573 4825 5955 8685 9925 14475 17865 29775 43425 76621 89325 229863 383105 689589 819737 1149315 1915525 2459211 3447945 4098685 5746575 7377633 12296055 17239725 20493425 36888165 61480275 158209241 184440825 325435589 474627723 791046205 976306767 1423883169 1627177945 2373138615 2928920301 3955231025 4881533835 7119415845 8135889725 11865693075 14644601505 24407669175 35597079225 62809068677 73223007525 188427206031 314045343385 565281618093 942136030155 1570226716925 2826408090465 4710680150775 14132040452325