Search a number
-
+
12314112140 = 22511234615279
BaseRepresentation
bin10110111011111101…
…00111000010001100
31011210012011201012102
423131332213002030
5200204403042030
65353530054232
7614104140401
oct133576470214
934705151172
1012314112140
115249aa4790
122477b7a378
131213263ab5
1484b6262a8
154c111ac45
hex2ddfa708c

12314112140 has 96 divisors (see below), whose sum is σ = 29506498560. Its totient is φ = 4273068800.

The previous prime is 12314112137. The next prime is 12314112169. The reversal of 12314112140 is 4121141321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330021 + ... + 2335299.

It is an arithmetic number, because the mean of its divisors is an integer number (307359360).

Almost surely, 212314112140 is an apocalyptic number.

12314112140 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 12314112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280).

12314112140 is an abundant number, since it is smaller than the sum of its proper divisors (17192386420).

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

12314112140 is a wasteful number, since it uses less digits than its factorization.

12314112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12314112140 its reverse (4121141321), we get a palindrome (16435253461).

The spelling of 12314112140 in words is "twelve billion, three hundred fourteen million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 461 506 922 1012 1265 1844 2305 2530 4610 5060 5071 5279 9220 10142 10558 10603 20284 21116 21206 25355 26395 42412 50710 52790 53015 58069 101420 105580 106030 116138 116633 121417 212060 232276 233266 242834 290345 466532 485668 580690 583165 607085 1161380 1166330 1214170 1335587 2332660 2428340 2433619 2671174 4867238 5342348 6677935 9734476 12168095 13355870 24336190 26711740 26769809 48672380 53539618 55973237 107079236 111946474 133849045 223892948 267698090 279866185 535396180 559732370 615705607 1119464740 1231411214 2462822428 3078528035 6157056070 12314112140