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14188383225 = 345226472
BaseRepresentation
bin11010011011011000…
…11000101111111001
31100121210221112210000
431031230120233321
5213024211230400
610303522143213
71011413160522
oct151554305771
940553845700
1014188383225
116020a77355
1228bb7b1b09
131451659743
14988513849
15580945600
hex34db18bf9

14188383225 has 45 divisors (see below), whose sum is σ = 26291723007. Its totient is φ = 7564278960.

The previous prime is 14188383203. The next prime is 14188383233. The reversal of 14188383225 is 52238388141.

The square root of 14188383225 is 119115.

It is a perfect power (a square), and thus also a powerful number.

14188383225 is a `hidden beast` number, since 1 + 41 + 8 + 8 + 383 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5107817961 + 9080565264 = 71469^2 + 95292^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 14188383225 - 29 = 14188382713 is a prime.

It is a super-2 number, since 2×141883832252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5358852 + ... + 5361498.

Almost surely, 214188383225 is an apocalyptic number.

14188383225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14188383225 is the 119115-th square number.

14188383225 is the 59558-th centered octagonal number.

It is an amenable number.

14188383225 is a deficient number, since it is larger than the sum of its proper divisors (12103339782).

14188383225 is an frugal number, since it uses more digits than its factorization.

14188383225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 2655 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14188383225 in words is "fourteen billion, one hundred eighty-eight million, three hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2647 7941 13235 23823 39705 66175 71469 119115 198525 214407 357345 595575 1072035 1786725 5360175 7006609 21019827 35033045 63059481 105099135 175165225 189178443 315297405 525495675 567535329 945892215 1576487025 2837676645 4729461075 14188383225