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4232234322324 = 2232251468374759
BaseRepresentation
bin111101100101100100110…
…100101100100110010100
3112222121010200112121211100
4331211210310230212110
51023320103441303244
613000132301310100
7614524466115201
oct75454464544624
915877120477740
104232234322324
111391975a39278
1258429a865330
1324913736a7c8
14108bac4bcca8
15751542a4b69
hex3d964d2c994

4232234322324 has 36 divisors (see below), whose sum is σ = 10740769996320. Its totient is φ = 1405124274000.

The previous prime is 4232234322247. The next prime is 4232234322343.

4232234322324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 2 + 3 + 4 + 322 + 324 = 666.

4232234322324 is nontrivially palindromic in base 10.

4232234322324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234178344 + ... + 234196415.

It is an arithmetic number, because the mean of its divisors is an integer number (298354722120).

Almost surely, 24232234322324 is an apocalyptic number.

It is an amenable number.

4232234322324 is an abundant number, since it is smaller than the sum of its proper divisors (6508535673996).

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

4232234322324 is a wasteful number, since it uses less digits than its factorization.

4232234322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468375020 (or 468375015 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 4232234322324 in words is "four trillion, two hundred thirty-two billion, two hundred thirty-four million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1506 2259 3012 4518 9036 468374759 936749518 1405124277 1873499036 2810248554 4215372831 5620497108 8430745662 16861491324 117562064509 235124129018 352686193527 470248258036 705372387054 1058058580581 1410744774108 2116117161162 4232234322324