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14032120430112 = 2532934691452947
BaseRepresentation
bin1100110000110001101110…
…0011011011111000100000
31211200110100121011212102020
43030030123203123320200
53314400240312230422
645502133411221440
72645534011453311
oct314143343337040
954613317155366
1014032120430112
11451aa971911a4
1216a76288a7880
137aa2b970b005
14367230360608
1519501ac7795c
hexcc31b8dbe20

14032120430112 has 96 divisors (see below), whose sum is σ = 38115475473600. Its totient is φ = 4514779788288.

The previous prime is 14032120430087. The next prime is 14032120430113. The reversal of 14032120430112 is 21103402123041.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14032120430113) 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, 8931223 + ... + 10384169.

It is an arithmetic number, because the mean of its divisors is an integer number (397036202850).

Almost surely, 214032120430112 is an apocalyptic number.

14032120430112 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 14032120430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057737736800).

14032120430112 is an abundant number, since it is smaller than the sum of its proper divisors (24083355043488).

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

14032120430112 is a wasteful number, since it uses less digits than its factorization.

14032120430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456458 (or 1456450 counting only the distinct ones).

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

Adding to 14032120430112 its reverse (21103402123041), we get a palindrome (35135522553153).

The spelling of 14032120430112 in words is "fourteen trillion, thirty-two billion, one hundred twenty million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3469 6938 10407 13876 20814 27752 41628 55504 83256 100601 111008 166512 201202 301803 333024 402404 603606 804808 1207212 1452947 1609616 2414424 2905894 3219232 4358841 4828848 5811788 8717682 9657696 11623576 17435364 23247152 34870728 42135463 46494304 69741456 84270926 126406389 139482912 168541852 252812778 337083704 505625556 674167408 1011251112 1348334816 2022502224 4045004448 5040273143 10080546286 15120819429 20161092572 30241638858 40322185144 60483277716 80644370288 120966555432 146167921147 161288740576 241933110864 292335842294 438503763441 483866221728 584671684588 877007526882 1169343369176 1754015053764 2338686738352 3508030107528 4677373476704 7016060215056 14032120430112