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14429161110 = 23571331170497
BaseRepresentation
bin11010111000000101…
…11000011010010110
31101020121000022221110
431130002320122112
5214022331123420
610343442555450
71020365563050
oct153402703226
941217008843
1014429161110
116134981341
122968368b86
13148c4c0670
149ac4ac8d0
15596b56ee0
hex35c0b8696

14429161110 has 128 divisors (see below), whose sum is σ = 43996667904. Its totient is φ = 2946170880.

The previous prime is 14429161031. The next prime is 14429161139. The reversal of 14429161110 is 1116192441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619 + ... + 169878.

It is an arithmetic number, because the mean of its divisors is an integer number (343723968).

Almost surely, 214429161110 is an apocalyptic number.

14429161110 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 14429161110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998333952).

14429161110 is an abundant number, since it is smaller than the sum of its proper divisors (29567506794).

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

14429161110 is a wasteful number, since it uses less digits than its factorization.

14429161110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170558.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 14429161110 in words is "fourteen billion, four hundred twenty-nine million, one hundred sixty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2730 2821 3255 4030 5642 6045 6510 8463 12090 14105 16926 28210 42315 84630 170497 340994 511491 852485 1022982 1193479 1704970 2216461 2386958 2557455 3580437 4432922 5114910 5285407 5967395 6649383 7160874 10570814 11082305 11934790 13298766 15515227 15856221 17902185 22164610 26427035 31030454 31712442 33246915 35804370 36997849 46545681 52854070 66493830 68710291 73995698 77576135 79281105 93091362 110993547 137420582 155152270 158562210 184989245 206130873 221987094 232728405 343551455 369978490 412261746 465456810 480972037 554967735 687102910 961944074 1030654365 1109935470 1442916111 2061308730 2404860185 2885832222 4809720370 7214580555 14429161110