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14425323300 = 22325221617417
BaseRepresentation
bin11010110111101000…
…01111011100100100
31101020022210100110100
431123310033130210
5214020340321200
610343224424100
71020321140103
oct153364173444
941208710410
1014425323300
11613279a9a3
122967018030
13148b77887b
149abb9003a
15596649d00
hex35bd0f724

14425323300 has 108 divisors (see below), whose sum is σ = 45242396836. Its totient is φ = 3844454400.

The previous prime is 14425323277. The next prime is 14425323301. The reversal of 14425323300 is 332352441.

14425323300 is a `hidden beast` number, since 1 + 4 + 425 + 3 + 233 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 123076836 + 14302246464 = 11094^2 + 119592^2 .

It is not an unprimeable number, because it can be changed into a prime (14425323301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1941192 + ... + 1948608.

Almost surely, 214425323300 is an apocalyptic number.

14425323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14425323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621198418).

14425323300 is an abundant number, since it is smaller than the sum of its proper divisors (30817073536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14425323300 is a wasteful number, since it uses less digits than its factorization.

14425323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9598 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 14425323300 its reverse (332352441), we get a palindrome (14757675741).

The spelling of 14425323300 in words is "fourteen billion, four hundred twenty-five million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2161 4322 6483 7417 8644 10805 12966 14834 19449 21610 22251 25932 29668 32415 37085 38898 43220 44502 54025 64830 66753 74170 77796 89004 97245 108050 111255 129660 133506 148340 162075 185425 194490 216100 222510 267012 324150 333765 370850 388980 445020 486225 556275 648300 667530 741700 972450 1112550 1335060 1668825 1944900 2225100 3337650 6675300 16028137 32056274 48084411 64112548 80140685 96168822 144253233 160281370 192337644 240422055 288506466 320562740 400703425 480844110 577012932 721266165 801406850 961688220 1202110275 1442532330 1602813700 2404220550 2885064660 3606330825 4808441100 7212661650 14425323300