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2442331109916 = 22323591368713807
BaseRepresentation
bin100011100010100110010…
…001110011101000011100
322122111002020212102002200
4203202212101303220130
5310003343231004131
65105554051451500
7341311145621505
oct43424621635034
98574066772080
102442331109916
11861872270645
1233540b8b6b90
13149406ba0339
14862d0a69bac
15437e5d772e6
hex238a6473a1c

2442331109916 has 72 divisors (see below), whose sum is σ = 6191767895040. Its totient is φ = 811724543136.

The previous prime is 2442331109879. The next prime is 2442331109917. The reversal of 2442331109916 is 6199011332442.

2442331109916 is a `hidden beast` number, since 2 + 4 + 423 + 31 + 109 + 91 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442331109917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176883885 + ... + 176897691.

It is an arithmetic number, because the mean of its divisors is an integer number (85996776320).

Almost surely, 22442331109916 is an apocalyptic number.

It is an amenable number.

2442331109916 is an abundant number, since it is smaller than the sum of its proper divisors (3749436785124).

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

2442331109916 is a wasteful number, since it uses less digits than its factorization.

2442331109916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27863 (or 27858 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2442331109916 in words is "two trillion, four hundred forty-two billion, three hundred thirty-one million, one hundred nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 3231 4308 6462 12924 13687 13807 27374 27614 41061 41421 54748 55228 82122 82842 123183 124263 164244 165684 246366 248526 492732 497052 4913633 4956713 9827266 9913426 14740899 14870139 19654532 19826852 29481798 29740278 44222697 44610417 58963596 59480556 88445394 89220834 176890788 178441668 188976409 377952818 566929227 755905636 1133858454 1700787681 2267716908 3401575362 6803150724 67842530831 135685061662 203527592493 271370123324 407055184986 610582777479 814110369972 1221165554958 2442331109916