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14230432240 = 245299716317
BaseRepresentation
bin11010100000011001…
…10010100111110000
31100201202001212011221
431100030302213300
5213120442312430
610312023314424
71012433451433
oct152014624760
940652055157
1014230432240
116042787402
1229118aba14
13145a28cb0b
1498dd3b81a
1558449e57a
hex3503329f0

14230432240 has 80 divisors (see below), whose sum is σ = 34267315680. Its totient is φ = 5489361920.

The previous prime is 14230432201. The next prime is 14230432241. The reversal of 14230432240 is 4223403241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14230432241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249562 + ... + 2255878.

It is an arithmetic number, because the mean of its divisors is an integer number (428341446).

Almost surely, 214230432240 is an apocalyptic number.

14230432240 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 14230432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133657840).

14230432240 is an abundant number, since it is smaller than the sum of its proper divisors (20036883440).

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

14230432240 is a wasteful number, since it uses less digits than its factorization.

14230432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14230432240 its reverse (4223403241), we get a palindrome (18453835481).

The spelling of 14230432240 in words is "fourteen billion, two hundred thirty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 971 1160 1942 2320 3884 4855 6317 7768 9710 12634 15536 19420 25268 28159 31585 38840 50536 56318 63170 77680 101072 112636 126340 140795 183193 225272 252680 281590 366386 450544 505360 563180 732772 915965 1126360 1465544 1831930 2252720 2931088 3663860 6133807 7327720 12267614 14655440 24535228 30669035 49070456 61338070 98140912 122676140 177880403 245352280 355760806 490704560 711521612 889402015 1423043224 1778804030 2846086448 3557608060 7115216120 14230432240