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14032041100 = 225271110118043
BaseRepresentation
bin11010001000101111…
…11111010010001100
31100012220202112200221
431010113333102030
5212214200303400
610240215201124
71004504244550
oct150427772214
940186675627
1014032041100
115a507a3190
1228773761a4
131428149bcc
14971857860
15571d61c1a
hex3445ff48c

14032041100 has 144 divisors (see below), whose sum is σ = 38341046016. Its totient is φ = 4330080000.

The previous prime is 14032041047. The next prime is 14032041157. The reversal of 14032041100 is 114023041.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768679 + ... + 786721.

It is an arithmetic number, because the mean of its divisors is an integer number (266257264).

Almost surely, 214032041100 is an apocalyptic number.

14032041100 is a gapful number since it is divisible by the number (10) 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 14032041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170523008).

14032041100 is an abundant number, since it is smaller than the sum of its proper divisors (24309004916).

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

14032041100 is a wasteful number, since it uses less digits than its factorization.

14032041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18176 (or 18169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14032041100 its reverse (114023041), we get a palindrome (14146064141).

The spelling of 14032041100 in words is "fourteen billion, thirty-two million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 101 110 140 154 175 202 220 275 308 350 385 404 505 550 700 707 770 1010 1100 1111 1414 1540 1925 2020 2222 2525 2828 3535 3850 4444 5050 5555 7070 7700 7777 10100 11110 14140 15554 17675 18043 22220 27775 31108 35350 36086 38885 55550 70700 72172 77770 90215 111100 126301 155540 180430 194425 198473 252602 360860 388850 396946 451075 505204 631505 777700 793892 902150 992365 1263010 1389311 1804300 1822343 1984730 2526020 2778622 3157525 3644686 3969460 4961825 5557244 6315050 6946555 7289372 9111715 9923650 12630100 12756401 13893110 18223430 19847300 20045773 25512802 27786220 34732775 36446860 40091546 45558575 51025604 63782005 69465550 80183092 91117150 100228865 127564010 138931100 140320411 182234300 200457730 255128020 280640822 318910025 400915460 501144325 561281644 637820050 701602055 1002288650 1275640100 1403204110 2004577300 2806408220 3508010275 7016020550 14032041100