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114340102034112 = 263497227385019
BaseRepresentation
bin11001111111110111100001…
…001010100101001011000000
3112222211210210022012220210000
4121333313201022211023000
5104441322012110042422
61043103041232440000
733040541214232563
oct3177674112451300
9488753708186700
10114340102034112
1133483401837909
12109a7a649a9000
134ba52c1154656
14203413a3504da
15d343ad7bacac
hex67fde12a52c0

114340102034112 has 140 divisors (see below), whose sum is σ = 342434109029320. Its totient is φ = 37720445865984.

The previous prime is 114340102034111. The next prime is 114340102034131. The reversal of 114340102034112 is 211430201043411.

It is a happy number.

114340102034112 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 40 + 1 + 0 + 203 + 411 + 2 = 666.

114340102034112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1143401020341122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114340102034111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113189662 + ... + 114195357.

It is an arithmetic number, because the mean of its divisors is an integer number (2445957921638).

Almost surely, 2114340102034112 is an apocalyptic number.

114340102034112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114340102034112 is an abundant number, since it is smaller than the sum of its proper divisors (228094006995208).

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

114340102034112 is an equidigital number, since it uses as much as digits as its factorization.

114340102034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227385140 (or 227385121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114340102034112 its reverse (211430201043411), we get a palindrome (325770303077523).

The spelling of 114340102034112 in words is "one hundred fourteen trillion, three hundred forty billion, one hundred two million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 576 582 648 776 864 873 1164 1296 1552 1728 1746 2328 2592 2619 3104 3492 4656 5184 5238 6208 6984 7857 9312 10476 13968 15714 18624 20952 27936 31428 41904 55872 62856 83808 125712 167616 251424 502848 227385019 454770038 682155057 909540076 1364310114 1819080152 2046465171 2728620228 3638160304 4092930342 5457240456 6139395513 7276320608 8185860684 10914480912 12278791026 14552641216 16371721368 18418186539 21828961824 22056346843 24557582052 32743442736 36836373078 43657923648 44112693686 49115164104 65486885472 66169040529 73672746156 88225387372 98230328208 130973770944 132338081058 147345492312 176450774744 196460656416 198507121587 264676162116 294690984624 352901549488 392921312832 397014243174 529352324232 589381969248 595521364761 705803098976 794028486348 1058704648464 1178763938496 1191042729522 1411606197952 1588056972696 1786564094283 2117409296928 2382085459044 3176113945392 3573128188566 4234818593856 4764170918088 6352227890784 7146256377132 9528341836176 12704455781568 14292512754264 19056683672352 28585025508528 38113367344704 57170051017056 114340102034112