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14130151434 = 234761320327
BaseRepresentation
bin11010010100011100…
…10000000000001010
31100110202101001210000
431022032100000022
5212414304321214
610254042103430
71010105206530
oct151216200012
940422331700
1014130151434
115aa1113a03
1228a41aab76
13144257b569
149808b6150
1557a791809
hex34a39000a

14130151434 has 80 divisors (see below), whose sum is σ = 36245962368. Its totient is φ = 4030401888.

The previous prime is 14130151433. The next prime is 14130151457. The reversal of 14130151434 is 43415103141.

14130151434 is a `hidden beast` number, since 14 + 130 + 1 + 514 + 3 + 4 = 666.

It is a super-2 number, since 2×141301514342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14130151398 and 14130151407.

It is not an unprimeable number, because it can be changed into a prime (14130151433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 684979 + ... + 705305.

Almost surely, 214130151434 is an apocalyptic number.

14130151434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130151434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122981184).

14130151434 is an abundant number, since it is smaller than the sum of its proper divisors (22115810934).

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

14130151434 is a wasteful number, since it uses less digits than its factorization.

14130151434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20961 (or 20952 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14130151434 its reverse (43415103141), we get a palindrome (57545254575).

The spelling of 14130151434 in words is "fourteen billion, one hundred thirty million, one hundred fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 613 1134 1226 1839 3678 4291 5517 8582 11034 12873 16551 20327 25746 33102 38619 40654 49653 60981 77238 99306 115857 121962 142289 182943 231714 284578 347571 365886 426867 548829 695142 853734 1097658 1280601 1646487 2561202 3292974 3841803 7683606 11525409 12460451 23050818 24920902 37381353 74762706 87223157 112144059 174446314 224288118 261669471 336432177 523338942 672864354 785008413 1009296531 1570016826 2018593062 2355025239 4710050478 7065075717 14130151434