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14045300251425 = 32522917909120193
BaseRepresentation
bin1100110001100010110100…
…1000011101101100100001
31211201201101010100011100100
43030120231020131230201
53320104233331021200
645512153304413013
72646511430213322
oct314305510355441
954651333304310
1014045300251425
11452563a917003
1216aa0a6777169
137ab60a120451
14367b20938449
1519553cd99d00
hexcc62d21db21

14045300251425 has 72 divisors (see below), whose sum is σ = 26025835188600. Its totient is φ = 7232058408960.

The previous prime is 14045300251421. The next prime is 14045300251439. The reversal of 14045300251425 is 52415200354041.

14045300251425 is a `hidden beast` number, since 1 + 40 + 45 + 300 + 251 + 4 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6539103065889 + 7506197185536 = 2557167^2 + 2739744^2 .

It is not a de Polignac number, because 14045300251425 - 22 = 14045300251421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14045300251425.

It is not an unprimeable number, because it can be changed into a prime (14045300251421) 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, 116796129 + ... + 116916321.

It is an arithmetic number, because the mean of its divisors is an integer number (361469933175).

Almost surely, 214045300251425 is an apocalyptic number.

14045300251425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14045300251425 is a deficient number, since it is larger than the sum of its proper divisors (11980534937175).

14045300251425 is a wasteful number, since it uses less digits than its factorization.

14045300251425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138147 (or 138139 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 14045300251425 in words is "fourteen trillion, forty-five billion, three hundred million, two hundred fifty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 17909 53727 89545 120193 161181 268635 360579 447725 519361 600965 805905 1081737 1343175 1558083 1802895 2596805 3004825 3485597 4029525 4674249 5408685 7790415 9014475 10456791 12984025 17427985 23371245 27043425 31370373 38952075 52283955 87139925 116856225 156851865 261419775 784259325 2152536437 6457609311 10762682185 19372827933 32288046555 53813410925 62423556673 96864139665 161440232775 187270670019 312117783365 484320698325 561812010057 936353350095 1560588916825 2809060050285 4681766750475 14045300251425