Search a number
-
+
12014210444096 = 26731866399859
BaseRepresentation
bin1010111011010100011010…
…1111101110101101000000
31120112112202222112110101202
42232311012233232231000
53033320100333202341
641315130241120332
72346666222544460
oct256650657565500
946475688473352
1012014210444096
11391221a649883
1214205269290a8
13691c207a17a3
142d76c2dd5ba0
1515c7b577279b
hexaed46beeb40

12014210444096 has 112 divisors (see below), whose sum is σ = 28128961044480. Its totient is φ = 4982227176960.

The previous prime is 12014210444077. The next prime is 12014210444147. The reversal of 12014210444096 is 69044401241021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120261815 + ... + 120361673.

Almost surely, 212014210444096 is an apocalyptic number.

12014210444096 is a gapful number since it is divisible by the number (16) 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 12014210444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14064480522240).

12014210444096 is an abundant number, since it is smaller than the sum of its proper divisors (16114750600384).

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

12014210444096 is an equidigital number, since it uses as much as digits as its factorization.

12014210444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108572 (or 108562 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 12014210444096 in words is "twelve trillion, fourteen billion, two hundred ten million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 8663 13888 17326 34652 60641 69304 99859 121282 138608 199718 242564 268553 277216 399436 485128 537106 554432 699013 798872 970256 1074212 1398026 1597744 1879871 1940512 2148424 2796052 3095629 3195488 3759742 3881024 4296848 5592104 6191258 6390976 7519484 8593696 11184208 12382516 15038968 17187392 21669403 22368416 24765032 30077936 43338806 44736832 49530064 60155872 86677612 99060128 120311744 173355224 198120256 346710448 693420896 865078517 1386841792 1730157034 3460314068 6055549619 6920628136 12111099238 13841256272 24222198476 26817434027 27682512544 48444396952 53634868054 55365025088 96888793904 107269736108 187722038189 193777587808 214539472216 375444076378 387555175616 429078944432 750888152756 858157888864 1501776305512 1716315777728 3003552611024 6007105222048 12014210444096