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4332141101112 = 23311791000920753
BaseRepresentation
bin111111000010100111101…
…110110100000000111000
3120100011000100202211121120
4333002213232310000320
51031434211110213422
613114054054305240
7624662331533556
oct77024756640070
916304010684546
104332141101112
111420283792950
1259b721358220
1325569976b066
1410d968dd4bd6
1577a5022845c
hex3f0a7bb4038

4332141101112 has 128 divisors (see below), whose sum is σ = 11966258304000. Its totient is φ = 1295960739840.

The previous prime is 4332141101083. The next prime is 4332141101153. The reversal of 4332141101112 is 2111011412334.

4332141101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208737328 + ... + 208758080.

It is an arithmetic number, because the mean of its divisors is an integer number (93486393000).

Almost surely, 24332141101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332141101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983129152000).

4332141101112 is an abundant number, since it is smaller than the sum of its proper divisors (7634117202888).

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

4332141101112 is a wasteful number, since it uses less digits than its factorization.

4332141101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30861 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 4332141101112 its reverse (2111011412334), we get a palindrome (6443152513446).

The spelling of 4332141101112 in words is "four trillion, three hundred thirty-two billion, one hundred forty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 6952 10009 10428 20018 20753 20856 30027 40036 41506 60054 62259 80072 83012 110099 120108 124518 166024 220198 228283 240216 249036 330297 440396 456566 498072 660594 684849 790711 880792 913132 1321188 1369698 1581422 1639487 1826264 2372133 2642376 2739396 3162844 3278974 4744266 4918461 5478792 6325688 6557948 8697821 9488532 9836922 13115896 17395642 18034357 18977064 19673844 26093463 34791284 36068714 39347688 52186926 54103071 69582568 72137428 104373852 108206142 144274856 207716777 208747704 216412284 415433554 432824568 623150331 830867108 1246300662 1661734216 2284884547 2492601324 4569769094 4985202648 6854653641 9139538188 13709307282 16409625383 18279076376 27418614564 32819250766 49228876149 54837229128 65638501532 98457752298 131277003064 180505879213 196915504596 361011758426 393831009192 541517637639 722023516852 1083035275278 1444047033704 2166070550556 4332141101112