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14067136134 = 23319971071321
BaseRepresentation
bin11010001100111011…
…10111011010000110
31100022100210120001000
431012131313122012
5212302141324014
610243511314130
71005411453462
oct150635673206
940270716030
1014067136134
115a69593647
12288707b946
1314324b6cbc
149763914a2
15574e95509
hex346777686

14067136134 has 128 divisors (see below), whose sum is σ = 33580915200. Its totient is φ = 4352071680.

The previous prime is 14067136133. The next prime is 14067136147. The reversal of 14067136134 is 43163176041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14067136133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10648194 + ... + 10649514.

It is an arithmetic number, because the mean of its divisors is an integer number (262350900).

Almost surely, 214067136134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14067136134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790457600).

14067136134 is an abundant number, since it is smaller than the sum of its proper divisors (19513779066).

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

14067136134 is a wasteful number, since it uses less digits than its factorization.

14067136134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 14067136134 in words is "fourteen billion, sixty-seven million, one hundred thirty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 97 107 114 171 194 214 291 321 342 513 582 642 873 963 1026 1321 1746 1843 1926 2033 2619 2642 2889 3686 3963 4066 5238 5529 5778 6099 7926 10379 11058 11889 12198 16587 18297 20758 23778 25099 31137 33174 35667 36594 49761 50198 54891 62274 71334 75297 93411 99522 109782 128137 141347 150594 186822 197201 225891 256274 280233 282694 384411 394402 424041 451782 560466 591603 677673 768822 848082 1153233 1183206 1272123 1355346 1774809 2306466 2434603 2544246 2685593 3459699 3549618 3816369 4869206 5324427 5371186 6919398 7303809 7632738 8056779 10648854 13710659 14607618 16113558 21911427 24170337 27421318 41131977 43822854 48340674 65734281 72511011 82263954 123395931 131468562 145022022 246791862 260502521 370187793 521005042 740375586 781507563 1563015126 2344522689 4689045378 7033568067 14067136134