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14312234112 = 2731127112503
BaseRepresentation
bin11010101010001001…
…10101110010000000
31100221102222211020220
431111010311302000
5213302412442422
610324104503040
71014445661031
oct152504656200
940842884226
1014312234112
116084979360
12293517aa80
1314712013a7
1499ab52a88
1558b75be5c
hex355135c80

14312234112 has 128 divisors (see below), whose sum is σ = 41629317120. Its totient is φ = 4320691200.

The previous prime is 14312234059. The next prime is 14312234113. The reversal of 14312234112 is 21143221341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14312234113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138453 + ... + 1150955.

It is an arithmetic number, because the mean of its divisors is an integer number (325229040).

Almost surely, 214312234112 is an apocalyptic number.

14312234112 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 14312234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814658560).

14312234112 is an abundant number, since it is smaller than the sum of its proper divisors (27317083008).

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

14312234112 is a wasteful number, since it uses less digits than its factorization.

14312234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12802 (or 12790 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14312234112 its reverse (21143221341), we get a palindrome (35455455453).

The spelling of 14312234112 in words is "fourteen billion, three hundred twelve million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 271 352 384 528 542 704 813 1056 1084 1408 1626 2112 2168 2981 3252 4224 4336 5962 6504 8672 8943 11924 12503 13008 17344 17886 23848 25006 26016 34688 35772 37509 47696 50012 52032 71544 75018 95392 100024 104064 137533 143088 150036 190784 200048 275066 286176 300072 381568 400096 412599 550132 572352 600144 800192 825198 1100264 1144704 1200288 1600384 1650396 2200528 2400576 3300792 3388313 4401056 4801152 6601584 6776626 8802112 10164939 13203168 13553252 17604224 20329878 26406336 27106504 37271443 40659756 52812672 54213008 74542886 81319512 108426016 111814329 149085772 162639024 216852032 223628658 298171544 325278048 433704064 447257316 596343088 650556096 894514632 1192686176 1301112192 1789029264 2385372352 3578058528 4770744704 7156117056 14312234112