Search a number
-
+
14514612156 = 22331157121397
BaseRepresentation
bin11011000010010001…
…10110011110111100
31101110112210200202000
431201020312132330
5214211220042111
610400134302300
71022454111342
oct154110663674
941415720660
1014514612156
116179135a40
122990ab7990
1314a410bc05
149b9993992
1559e3d5c56
hex3612367bc

14514612156 has 96 divisors (see below), whose sum is σ = 41125244160. Its totient is φ = 4390459200.

The previous prime is 14514612149. The next prime is 14514612173. The reversal of 14514612156 is 65121641541.

14514612156 is a `hidden beast` number, since 1 + 45 + 1 + 461 + 2 + 156 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14514612156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667650 + ... + 689046.

It is an arithmetic number, because the mean of its divisors is an integer number (428387960).

Almost surely, 214514612156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14514612156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562622080).

14514612156 is an abundant number, since it is smaller than the sum of its proper divisors (26610632004).

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

14514612156 is a wasteful number, since it uses less digits than its factorization.

14514612156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21992 (or 21984 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 14514612156 in words is "fourteen billion, five hundred fourteen million, six hundred twelve thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 571 594 1142 1188 1713 2284 3426 5139 6281 6852 10278 12562 15417 18843 20556 21397 25124 30834 37686 42794 56529 61668 64191 75372 85588 113058 128382 169587 192573 226116 235367 256764 339174 385146 470734 577719 678348 706101 770292 941468 1155438 1412202 2118303 2310876 2824404 4236606 6354909 8473212 12217687 12709818 24435374 25419636 36653061 48870748 73306122 109959183 134394557 146612244 219918366 268789114 329877549 403183671 439836732 537578228 659755098 806367342 1209551013 1319510196 1612734684 2419102026 3628653039 4838204052 7257306078 14514612156