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14235065064 = 2334118324061
BaseRepresentation
bin11010100000111100…
…11101101011101000
31100202001210020020000
431100132131223220
5213123134040224
610312310503000
71012521025263
oct152036355350
940661706200
1014235065064
116045361090
122913364a60
13145b22272c
149907c5cda
15584ab70c9
hex35079dae8

14235065064 has 160 divisors (see below), whose sum is σ = 44021910240. Its totient is φ = 4261507200.

The previous prime is 14235065027. The next prime is 14235065071. The reversal of 14235065064 is 46056053241.

14235065064 is a `hidden beast` number, since 1 + 42 + 3 + 506 + 50 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 579594 + ... + 603654.

It is an arithmetic number, because the mean of its divisors is an integer number (275136939).

Almost surely, 214235065064 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 14235065064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010955120).

14235065064 is an abundant number, since it is smaller than the sum of its proper divisors (29786845176).

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

14235065064 is a wasteful number, since it uses less digits than its factorization.

14235065064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24173 (or 24160 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 14235065064 in words is "fourteen billion, two hundred thirty-five million, sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 83 88 99 108 132 162 166 198 216 249 264 297 324 332 396 498 594 648 664 747 792 891 913 996 1188 1494 1782 1826 1992 2241 2376 2739 2988 3564 3652 4482 5478 5976 6723 7128 7304 8217 8964 10956 13446 16434 17928 21912 24061 24651 26892 32868 48122 49302 53784 65736 72183 73953 96244 98604 144366 147906 192488 197208 216549 264671 288732 295812 433098 529342 577464 591624 649647 794013 866196 1058684 1299294 1588026 1732392 1948941 1997063 2117368 2382039 2598588 3176052 3897882 3994126 4764078 5197176 5991189 6352104 7146117 7795764 7988252 9528156 11982378 14292234 15591528 15976504 17973567 19056312 21438351 21967693 23964756 28584468 35947134 42876702 43935386 47929512 53920701 57168936 65903079 71894268 85753404 87870772 107841402 131806158 143788536 161762103 171506808 175741544 197709237 215682804 263612316 323524206 395418474 431365608 527224632 593127711 647048412 790836948 1186255422 1294096824 1581673896 1779383133 2372510844 3558766266 4745021688 7117532532 14235065064