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14210014032 = 243512312969
BaseRepresentation
bin11010011101111101…
…11001101101010000
31100200022122111200000
431032332321231100
5213100230422112
610310013530000
71012065061224
oct151676715520
940608574600
1014210014032
116032200955
122906aa3900
131455c91236
1498b344784
155827b97dc
hex34efb9b50

14210014032 has 120 divisors (see below), whose sum is σ = 41288607360. Its totient is φ = 4731229440.

The previous prime is 14210013991. The next prime is 14210014051. The reversal of 14210014032 is 23041001241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14210013996 and 14210014014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4784644 + ... + 4787612.

It is an arithmetic number, because the mean of its divisors is an integer number (344071728).

Almost surely, 214210014032 is an apocalyptic number.

14210014032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14210014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644303680).

14210014032 is an abundant number, since it is smaller than the sum of its proper divisors (27078593328).

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

14210014032 is a wasteful number, since it uses less digits than its factorization.

14210014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14210014032 its reverse (23041001241), we get a palindrome (37251015273).

The spelling of 14210014032 in words is "fourteen billion, two hundred ten million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1231 1296 1944 2462 2969 3693 3888 4924 5938 7386 8907 9848 11079 11876 14772 17814 19696 22158 23752 26721 29544 33237 35628 44316 47504 53442 59088 66474 71256 80163 88632 99711 106884 132948 142512 160326 177264 199422 213768 240489 265896 299133 320652 398844 427536 480978 531792 598266 641304 721467 797688 961956 1196532 1282608 1442934 1595376 1923912 2393064 2885868 3654839 3847824 4786128 5771736 7309678 10964517 11543472 14619356 21929034 29238712 32893551 43858068 58477424 65787102 87716136 98680653 131574204 175432272 197361306 263148408 296041959 394722612 526296816 592083918 789445224 888125877 1184167836 1578890448 1776251754 2368335672 3552503508 4736671344 7105007016 14210014032