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14425324000 = 255323156797
BaseRepresentation
bin11010110111101000…
…01111100111100000
31101020022210101102021
431123310033213200
5214020340332000
610343224431224
71020321142123
oct153364174740
941208711367
1014425324000
1161327a047a
122967018514
13148b778c99
149abb903ba
1559664a11a
hex35bd0f9e0

14425324000 has 96 divisors (see below), whose sum is σ = 36984257856. Its totient is φ = 5519219200.

The previous prime is 14425323971. The next prime is 14425324009. The reversal of 14425324000 is 42352441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14425324009) 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 15 ways as a sum of consecutive naturals, for example, 13602 + ... + 170398.

It is an arithmetic number, because the mean of its divisors is an integer number (385252686).

Almost surely, 214425324000 is an apocalyptic number.

14425324000 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 14425324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492128928).

14425324000 is an abundant number, since it is smaller than the sum of its proper divisors (22558933856).

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

14425324000 is a wasteful number, since it uses less digits than its factorization.

14425324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156845 (or 156827 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14425324000 its reverse (42352441), we get a palindrome (14467676441).

The spelling of 14425324000 in words is "fourteen billion, four hundred twenty-five million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 156797 313594 627188 783985 1254376 1567970 2508752 3135940 3606331 3919925 5017504 6271880 7212662 7839850 12543760 14425324 15679700 18031655 19599625 25087520 28850648 31359400 36063310 39199250 57701296 62718800 72126620 78398500 90158275 115402592 125437600 144253240 156797000 180316550 288506480 313594000 360633100 450791375 577012960 627188000 721266200 901582750 1442532400 1803165500 2885064800 3606331000 7212662000 14425324000