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4000114212012 = 22321929201659317
BaseRepresentation
bin111010001101011001011…
…000101111110010101100
3112011101222211121021100200
4322031121120233302230
51011014213214241022
612301343241553500
7561666362536542
oct72153130576254
915141884537320
104000114212012
11130249120a866
125472ba1a5890
13230294676cc9
14db86c58dd92
156e0bb01abac
hex3a35962fcac

4000114212012 has 72 divisors (see below), whose sum is σ = 11010598762800. Its totient is φ = 1219635543168.

The previous prime is 4000114211971. The next prime is 4000114212023. The reversal of 4000114212012 is 2102124110004.

4000114212012 is a `hidden beast` number, since 40 + 0 + 0 + 1 + 1 + 421 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100809823 + ... + 100849494.

Almost surely, 24000114212012 is an apocalyptic number.

It is an amenable number.

4000114212012 is an abundant number, since it is smaller than the sum of its proper divisors (7010484550788).

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

4000114212012 is a wasteful number, since it uses less digits than its factorization.

4000114212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201659375 (or 201659370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4000114212012 its reverse (2102124110004), we get a palindrome (6102238322016).

The spelling of 4000114212012 in words is "four trillion, one hundred fourteen million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 19836 201659317 403318634 604977951 806637268 1209955902 1814933853 2419911804 3629867706 3831527023 5848120193 7259735412 7663054046 11494581069 11696240386 15326108092 17544360579 22989162138 23392480772 34483743207 35088721158 45978324276 52633081737 68967486414 70177442316 105266163474 111114283667 137934972828 210532326948 222228567334 333342851001 444457134668 666685702002 1000028553003 1333371404004 2000057106006 4000114212012