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14134334130 = 23257157114281
BaseRepresentation
bin11010010100111100…
…01101001010110010
31100111001020120100200
431022132031022302
5212421342143010
610254311500030
71010155600140
oct151236151262
940431216320
1014134334130
115aa3510484
1228a5687616
1314433b4327
14981284590
1557ad1acc0
hex34a78d2b2

14134334130 has 96 divisors (see below), whose sum is σ = 42028841088. Its totient is φ = 3228422400.

The previous prime is 14134334119. The next prime is 14134334131. The reversal of 14134334130 is 3143343141.

14134334130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14134334094 and 14134334103.

It is not an unprimeable number, because it can be changed into a prime (14134334131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982590 + ... + 996870.

It is an arithmetic number, because the mean of its divisors is an integer number (437800428).

Almost surely, 214134334130 is an apocalyptic number.

14134334130 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 14134334130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21014420544).

14134334130 is an abundant number, since it is smaller than the sum of its proper divisors (27894506958).

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

14134334130 is a wasteful number, since it uses less digits than its factorization.

14134334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15869 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14134334130 its reverse (3143343141), we get a palindrome (17277677271).

The spelling of 14134334130 in words is "fourteen billion, one hundred thirty-four million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1571 3142 4713 7855 9426 10997 14139 14281 15710 21994 23565 28278 28562 32991 42843 47130 54985 65982 70695 71405 85686 98973 99967 109970 128529 141390 142810 164955 197946 199934 214215 257058 299901 329910 428430 494865 499835 599802 642645 899703 989730 999670 1285290 1499505 1799406 2999010 4498515 8997030 22435451 44870902 67306353 112177255 134612706 157048157 201919059 224354510 314096314 336531765 403838118 471144471 673063530 785240785 942288942 1009595295 1413433413 1570481570 2019190590 2355722355 2826866826 4711444710 7067167065 14134334130