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71414061225 = 352131631972281
BaseRepresentation
bin100001010000010011…
…1000001100010101001
320211022222011012012120
41002200213001202221
52132223444424400
652450203101453
75105464335063
oct1024047014251
9224288135176
1071414061225
1128317415211
1211a10511889
1369713aa380
143656748733
151cce831ca0
hex10a09c18a9

71414061225 has 96 divisors (see below), whose sum is σ = 128639516544. Its totient is φ = 34749388800.

The previous prime is 71414061223. The next prime is 71414061241. The reversal of 71414061225 is 52216041417.

It is not a de Polignac number, because 71414061225 - 21 = 71414061223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71414061223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31307085 + ... + 31309365.

It is an arithmetic number, because the mean of its divisors is an integer number (1339994964).

Almost surely, 271414061225 is an apocalyptic number.

71414061225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71414061225 is a deficient number, since it is larger than the sum of its proper divisors (57225455319).

71414061225 is a wasteful number, since it uses less digits than its factorization.

71414061225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 71414061225 in words is "seventy-one billion, four hundred fourteen million, sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 163 195 197 325 489 591 815 975 985 2119 2281 2445 2561 2955 4075 4925 6357 6843 7683 10595 11405 12225 12805 14775 29653 31785 32111 34215 38415 52975 57025 64025 88959 96333 148265 158925 160555 171075 192075 371803 417443 444795 449357 481665 741325 802775 1115409 1252329 1348071 1859015 2087215 2223975 2246785 2408325 4833439 5577045 5841641 6261645 6740355 9295075 10436075 11233925 14500317 17524923 24167195 27885225 29208205 31308225 33701775 72501585 73245191 87624615 120835975 146041025 219735573 362507925 366225955 438123075 952187483 1098677865 1831129775 2856562449 4760937415 5493389325 14282812245 23804687075 71414061225