Search a number
-
+
114316021260 = 223257353257017
BaseRepresentation
bin110101001110111000…
…1000000111000001100
3101221001212202120111100
41222131301000320030
53333104400140020
6124303245023100
711154600101550
oct1523561007014
9357055676440
10114316021260
1144532460831
121a1a4254a90
13aa1a73883c
1457664bb860
152e90e93a90
hex1a9dc40e0c

114316021260 has 144 divisors (see below), whose sum is σ = 397419736896. Its totient is φ = 26055254016.

The previous prime is 114316021249. The next prime is 114316021307. The reversal of 114316021260 is 62120613411.

It is a happy number.

114316021260 is a `hidden beast` number, since 1 + 1 + 4 + 31 + 602 + 1 + 26 + 0 = 666.

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, 316272 + ... + 573288.

It is an arithmetic number, because the mean of its divisors is an integer number (2759859284).

Almost surely, 2114316021260 is an apocalyptic number.

114316021260 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 114316021260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198709868448).

114316021260 is an abundant number, since it is smaller than the sum of its proper divisors (283103715636).

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

114316021260 is a wasteful number, since it uses less digits than its factorization.

114316021260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257392 (or 257387 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 114316021260 its reverse (62120613411), we get a palindrome (176436634671).

The spelling of 114316021260 in words is "one hundred fourteen billion, three hundred sixteen million, twenty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 353 420 630 706 1059 1260 1412 1765 2118 2471 3177 3530 4236 4942 5295 6354 7060 7413 9884 10590 12355 12708 14826 15885 21180 22239 24710 29652 31770 37065 44478 49420 63540 74130 88956 111195 148260 222390 257017 444780 514034 771051 1028068 1285085 1542102 1799119 2313153 2570170 3084204 3598238 3855255 4626306 5140340 5397357 7196476 7710510 8995595 9252612 10794714 11565765 15421020 16192071 17991190 21589428 23131530 26986785 32384142 35982380 46263060 53973570 64768284 80960355 90727001 107947140 161920710 181454002 272181003 323841420 362908004 453635005 544362006 635089007 816543009 907270010 1088724012 1270178014 1360905015 1633086018 1814540020 1905267021 2540356028 2721810030 3175445035 3266172036 3810534042 4082715045 5443620060 5715801063 6350890070 7621068084 8165430090 9526335105 11431602126 12701780140 16330860180 19052670210 22863204252 28579005315 38105340420 57158010630 114316021260