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3422445141115 = 57111331137161009
BaseRepresentation
bin110001110011011001101…
…000000111110001111011
3110010011221002022221201201
4301303121220013301323
5422033131424003430
611140125524555031
7502156244465230
oct61633150076173
913104832287651
103422445141115
1110aa4a6071880
12473361b52a77
131ba9732a8420
14bb90bdd1787
155e05b8998ca
hex31cd9a07c7b

3422445141115 has 128 divisors (see below), whose sum is σ = 5733666570240. Its totient is φ = 1891908403200.

The previous prime is 3422445141083. The next prime is 3422445141119. The reversal of 3422445141115 is 5111415442243.

3422445141115 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3422445141115 - 25 = 3422445141083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3422445141119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21175731 + ... + 21336739.

It is an arithmetic number, because the mean of its divisors is an integer number (44794270080).

Almost surely, 23422445141115 is an apocalyptic number.

3422445141115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3422445141115 is a deficient number, since it is larger than the sum of its proper divisors (2311221429125).

3422445141115 is a wasteful number, since it uses less digits than its factorization.

3422445141115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161213.

The product of its digits is 76800, while the sum is 37.

The spelling of 3422445141115 in words is "three trillion, four hundred twenty-two billion, four hundred forty-five million, one hundred forty-one thousand, one hundred fifteen".

Divisors: 1 5 7 11 13 31 35 55 65 77 91 137 143 155 217 341 385 403 455 685 715 959 1001 1085 1507 1705 1781 2015 2387 2821 4247 4433 4795 5005 7535 8905 10549 11935 12467 14105 19591 21235 22165 29729 31031 46717 52745 55211 62335 97955 137137 148645 155155 161009 233585 276055 327019 386477 607321 685685 805045 1127063 1635095 1771099 1932385 2093117 3036605 4251247 4991279 5635315 8855495 10465585 12397693 14651819 21256235 22058233 23024287 24956395 34938953 54904069 61988465 64886627 73259095 110291165 115121435 154407631 161170009 174694765 242640563 274520345 286757029 324433135 384328483 454206389 683805223 713752897 772038155 805850045 1213202815 1433785145 1698483941 1921642415 2007299203 2271031945 3154327319 3419026115 3568764485 4786636561 4996270279 7521857453 8492419705 8889467899 10036496015 15771636595 22080291233 23933182805 24981351395 37609287265 44447339495 52653002171 62226275293 97784146889 110401456165 263265010855 311131376465 488920734445 684489028223 3422445141115