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14132434440 = 2335461255467
BaseRepresentation
bin11010010100101101…
…11101011000001000
31100110220200001110210
431022112331120020
5212420400400230
610254203041120
71010133465525
oct151226753010
940426601423
1014132434440
115aa2433193
1228a4b101a0
131442b9a757
14980d0c14c
1557aa92eb0
hex34a5bd608

14132434440 has 64 divisors (see below), whose sum is σ = 42489437760. Its totient is φ = 3760459520.

The previous prime is 14132434429. The next prime is 14132434447. The reversal of 14132434440 is 4443423141.

It is a super-2 number, since 2×141324344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14132434398 and 14132434407.

It is not an unprimeable number, because it can be changed into a prime (14132434447) 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, 72414 + ... + 183053.

It is an arithmetic number, because the mean of its divisors is an integer number (663897465).

Almost surely, 214132434440 is an apocalyptic number.

14132434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132434440 is an abundant number, since it is smaller than the sum of its proper divisors (28357003320).

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

14132434440 is a wasteful number, since it uses less digits than its factorization.

14132434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255942 (or 255938 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14132434440 its reverse (4443423141), we get a palindrome (18575857581).

The spelling of 14132434440 in words is "fourteen billion, one hundred thirty-two million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 461 922 1383 1844 2305 2766 3688 4610 5532 6915 9220 11064 13830 18440 27660 55320 255467 510934 766401 1021868 1277335 1532802 2043736 2554670 3065604 3832005 5109340 6131208 7664010 10218680 15328020 30656040 117770287 235540574 353310861 471081148 588851435 706621722 942162296 1177702870 1413243444 1766554305 2355405740 2826486888 3533108610 4710811480 7066217220 14132434440