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14234440020 = 22355311513889
BaseRepresentation
bin11010100000111000…
…00101000101010100
31100202000121110211020
431100130011011110
5213123004040040
610312245241140
71012512513063
oct152034050524
940660543736
1014234440020
116044a74519
1229131031b0
13145b064098
149906a21da
155849e1cd0
hex350705154

14234440020 has 96 divisors (see below), whose sum is σ = 40654172160. Its totient is φ = 3720038400.

The previous prime is 14234440013. The next prime is 14234440021. The reversal of 14234440020 is 2004443241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14234440021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658236 + ... + 3662124.

It is an arithmetic number, because the mean of its divisors is an integer number (423480960).

Almost surely, 214234440020 is an apocalyptic number.

14234440020 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 14234440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327086080).

14234440020 is an abundant number, since it is smaller than the sum of its proper divisors (26419732140).

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

14234440020 is a wasteful number, since it uses less digits than its factorization.

14234440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14234440020 its reverse (2004443241), we get a palindrome (16238883261).

The spelling of 14234440020 in words is "fourteen billion, two hundred thirty-four million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1151 1590 2302 3180 3453 3889 4604 5755 6906 7778 11510 11667 13812 15556 17265 19445 23020 23334 34530 38890 46668 58335 61003 69060 77780 116670 122006 183009 206117 233340 244012 305015 366018 412234 610030 618351 732036 824468 915045 1030585 1220060 1236702 1830090 2061170 2473404 3091755 3660180 4122340 4476239 6183510 8952478 12367020 13428717 17904956 22381195 26857434 44762390 53714868 67143585 89524780 134287170 237240667 268574340 474481334 711722001 948962668 1186203335 1423444002 2372406670 2846888004 3558610005 4744813340 7117220010 14234440020