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14297000725 = 5272293773149
BaseRepresentation
bin11010101000010101…
…01110101100010101
31100220101022212222101
431110022232230111
5213240013010400
610322402202101
71014202333600
oct152412565425
940811285871
1014297000725
116077314287
122930053331
13146acc9757
14998b09337
1558a24d56a
hex3542aeb15

14297000725 has 144 divisors (see below), whose sum is σ = 22359618000. Its totient is φ = 9022648320.

The previous prime is 14297000723. The next prime is 14297000771. The reversal of 14297000725 is 52700079241.

14297000725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14297000725 is a nontrivial binomial coefficient, being equal to C(150, 6).

It can be written as a sum of positive squares in 24 ways, for example, as 8375544324 + 5921456401 = 91518^2 + 76951^2 .

It is not a de Polignac number, because 14297000725 - 21 = 14297000723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14297000723) 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 143 ways as a sum of consecutive naturals, for example, 95952951 + ... + 95953099.

It is an arithmetic number, because the mean of its divisors is an integer number (155275125).

Almost surely, 214297000725 is an apocalyptic number.

It is an amenable number.

14297000725 is a deficient number, since it is larger than the sum of its proper divisors (8062617275).

14297000725 is a wasteful number, since it uses less digits than its factorization.

14297000725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

Adding to 14297000725 its reverse (52700079241), we get a palindrome (66997079966).

The spelling of 14297000725 in words is "fourteen billion, two hundred ninety-seven million, seven hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 25 29 35 37 49 73 145 149 175 185 203 245 259 365 511 725 745 925 1015 1043 1073 1225 1295 1421 1813 1825 2117 2555 2701 3577 3725 4321 5075 5215 5365 5513 6475 7105 7301 7511 9065 10585 10877 12775 13505 14819 17885 18907 21605 26075 26825 27565 30247 35525 36505 37555 38591 45325 52577 52925 54385 67525 74095 76139 78329 89425 94535 103733 108025 132349 137825 151235 159877 182525 187775 192955 211729 262885 270137 271925 315433 370475 380695 391645 402449 472675 518665 532973 548303 661745 756175 799385 964775 1058645 1119139 1314425 1350685 1577165 1903475 1958225 2012245 2208031 2593325 2664865 2741515 2817143 3308725 3838121 3996925 5293225 5595695 6753425 7833973 7885825 10061225 11040155 11671021 13324325 13707575 14085715 15456217 19190605 19720001 27978475 39169865 55200775 58355105 70428575 77281085 81697147 95953025 98600005 195849325 291775525 386405425 408485735 493000025 571880029 2042428675 2859400145 14297000725