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14135003430 = 23517434211531
BaseRepresentation
bin11010010101000001…
…10000100100100110
31100111002111120110120
431022200300210212
5212422030102210
610254334102410
71010164355352
oct151240604446
940432446416
1014135003430
115aa3928319
1228a594aa06
131443589b72
149813ba462
1557adee270
hex34a830926

14135003430 has 128 divisors (see below), whose sum is σ = 36866244096. Its totient is φ = 3454617600.

The previous prime is 14135003383. The next prime is 14135003437. The reversal of 14135003430 is 3430053141.

It is a happy number.

It is a super-2 number, since 2×141350034302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14135003430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135003437) 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 63 ways as a sum of consecutive naturals, for example, 9231765 + ... + 9233295.

It is an arithmetic number, because the mean of its divisors is an integer number (288017532).

Almost surely, 214135003430 is an apocalyptic number.

14135003430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433122048).

14135003430 is an abundant number, since it is smaller than the sum of its proper divisors (22731240666).

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

14135003430 is a wasteful number, since it uses less digits than its factorization.

14135003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 14135003430 its reverse (3430053141), we get a palindrome (17565056571).

The spelling of 14135003430 in words is "fourteen billion, one hundred thirty-five million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 421 430 510 645 731 842 1263 1290 1462 1531 2105 2193 2526 3062 3655 4210 4386 4593 6315 7157 7310 7655 9186 10965 12630 14314 15310 18103 21471 21930 22965 26027 35785 36206 42942 45930 52054 54309 65833 71570 78081 90515 107355 108618 130135 131666 156162 181030 197499 214710 260270 271545 307751 329165 390405 394998 543090 615502 644551 658330 780810 923253 987495 1119161 1289102 1538755 1846506 1933653 1974990 2238322 3077510 3222755 3357483 3867306 4616265 5595805 6445510 6714966 9232530 9668265 10957367 11191610 16787415 19336530 21914734 27715693 32872101 33574830 54786835 55431386 65744202 83147079 109573670 138578465 164360505 166294158 277156930 328721010 415735395 471166781 831470790 942333562 1413500343 2355833905 2827000686 4711667810 7067501715 14135003430