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2442342401415 = 325747457360979
BaseRepresentation
bin100011100010100110111…
…100111000010110000111
322122111010001010002010100
4203202212330320112013
5310003404123321130
65105555133455143
7341311343610360
oct43424674702607
98574101102110
102442342401415
11861878683064
123354136414b3
131494093249b7
14862d2368b67
15437e6d57c60
hex238a6f38587

2442342401415 has 96 divisors (see below), whose sum is σ = 4951929415680. Its totient is φ = 1090349932032.

The previous prime is 2442342401407. The next prime is 2442342401489. The reversal of 2442342401415 is 5141042432442.

2442342401415 is a `hidden beast` number, since 2 + 4 + 4 + 234 + 2 + 4 + 0 + 1 + 415 = 666.

2442342401415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2442342401415 - 23 = 2442342401407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2442342401415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6585396 + ... + 6946374.

It is an arithmetic number, because the mean of its divisors is an integer number (51582598080).

Almost surely, 22442342401415 is an apocalyptic number.

2442342401415 is an abundant number, since it is smaller than the sum of its proper divisors (2509587014265).

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

2442342401415 is a wasteful number, since it uses less digits than its factorization.

2442342401415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361501 (or 361498 counting only the distinct ones).

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

Adding to 2442342401415 its reverse (5141042432442), we get a palindrome (7583384833857).

The spelling of 2442342401415 in words is "two trillion, four hundred forty-two billion, three hundred forty-two million, four hundred one thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 457 705 987 1371 1645 2115 2285 2961 3199 4113 4935 6855 9597 14805 15995 20565 21479 28791 47985 64437 107395 143955 150353 193311 322185 360979 451059 751765 966555 1082937 1353177 1804895 2255295 2526853 3248811 5414685 6765885 7580559 12634265 16244055 16966013 22741677 37902795 50898039 84830065 113708385 118762091 152694117 164967403 254490195 356286273 494902209 593810455 763470585 824837015 1068858819 1154771821 1484706627 1781431365 2474511045 3464315463 5344294095 5773859105 7423533135 7753467941 10392946389 17321577315 23260403823 38767339705 51964731945 54274275587 69781211469 116302019115 162822826761 271371377935 348906057345 488468480283 814114133805 2442342401415