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14110890192 = 2432789157291
BaseRepresentation
bin11010010010001001…
…10001100011010000
31100102102010111022200
431021010301203100
5212344341441232
610252113203200
71006452405360
oct151104614320
940372114280
1014110890192
115a91258723
122899860500
13143b596489
1497c1009a0
15578c3977c
hex3491318d0

14110890192 has 120 divisors (see below), whose sum is σ = 45639846720. Its totient is φ = 3986357760.

The previous prime is 14110890181. The next prime is 14110890193. The reversal of 14110890192 is 29109801141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110890193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11067 + ... + 168357.

It is an arithmetic number, because the mean of its divisors is an integer number (380332056).

Almost surely, 214110890192 is an apocalyptic number.

14110890192 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 14110890192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819923360).

14110890192 is an abundant number, since it is smaller than the sum of its proper divisors (31528956528).

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

14110890192 is a wasteful number, since it uses less digits than its factorization.

14110890192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157401 (or 157392 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 14110890192 in words is "fourteen billion, one hundred ten million, eight hundred ninety thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7476 9968 11214 12816 14952 22428 29904 44856 89712 157291 314582 471873 629164 943746 1101037 1258328 1415619 1887492 2202074 2516656 2831238 3303111 3774984 4404148 5662476 6606222 7549968 8808296 9909333 11324952 13212444 13998899 17616592 19818666 22649904 26424888 27997798 39637332 41996697 52849776 55995596 79274664 83993394 97992293 111991192 125990091 158549328 167986788 195984586 223982384 251980182 293976879 335973576 391969172 503960364 587953758 671947152 783938344 881930637 1007920728 1175907516 1567876688 1763861274 2015841456 2351815032 3527722548 4703630064 7055445096 14110890192