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3424440524112 = 2432389598710211
BaseRepresentation
bin110001110101010000100…
…011111001110101010000
3110010101002010222220121200
4301311100203321311100
5422101223233232422
611141055524551200
7502256554120326
oct61652043716520
913111063886550
103424440524112
11110032a445633
1247381a252500
131bac007c711a
14bba5b007d16
155e126b492ac
hex31d508f9d50

3424440524112 has 120 divisors (see below), whose sum is σ = 9610859999520. Its totient is φ = 1138244125440.

The previous prime is 3424440524059. The next prime is 3424440524123. The reversal of 3424440524112 is 2114250444243.

3424440524112 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 4 + 405 + 241 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335362687 + ... + 335372897.

It is an arithmetic number, because the mean of its divisors is an integer number (80090499996).

Almost surely, 23424440524112 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 3424440524112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805429999760).

3424440524112 is an abundant number, since it is smaller than the sum of its proper divisors (6186419475408).

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

3424440524112 is a wasteful number, since it uses less digits than its factorization.

3424440524112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601 (or 16592 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 3424440524112 its reverse (2114250444243), we get a palindrome (5538690968355).

The spelling of 3424440524112 in words is "three trillion, four hundred twenty-four billion, four hundred forty million, five hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2334 3112 3501 4668 5987 6224 7002 9336 10211 11974 14004 17961 18672 20422 23948 28008 30633 35922 40844 47896 53883 56016 61266 71844 81688 91899 95792 107766 122532 143688 163376 183798 215532 245064 287376 367596 431064 490128 735192 862128 1470384 2328943 3972079 4657886 6986829 7944158 9315772 11916237 13973658 15888316 18631544 20960487 23832474 27947316 31776632 35748711 37263088 41920974 47664948 55894632 61133257 63553264 71497422 83841948 95329896 111789264 122266514 142994844 167683896 183399771 190659792 244533028 285989688 335367792 366799542 489066056 550199313 571979376 733599084 978132112 1100398626 1467198168 2200797252 2934396336 4401594504 8803189008 23780836973 47561673946 71342510919 95123347892 142685021838 190246695784 214027532757 285370043676 380493391568 428055065514 570740087352 856110131028 1141480174704 1712220262056 3424440524112