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3422136312243 = 3211241435930211
BaseRepresentation
bin110001110011000111001…
…110000010000110110011
3110010011010120012211011100
4301303013032002012303
5422032013343442433
611140035133415443
7502145504464425
oct61630716020663
913104116184140
103422136312243
1110aa357808100
1247329663a583
131ba924308b4c
14bb8bcda0815
155e03e6e4b13
hex31cc73821b3

3422136312243 has 144 divisors (see below), whose sum is σ = 5791988442240. Its totient is φ = 1942817184000.

The previous prime is 3422136312241. The next prime is 3422136312247.

3422136312243 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 13 + 631 + 2 + 2 + 4 + 3 = 666.

3422136312243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3422136312243 - 21 = 3422136312241 is a prime.

It is a super-2 number, since 2×34221363122432 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3422136312198 and 3422136312207.

It is not an unprimeable number, because it can be changed into a prime (3422136312241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113259408 + ... + 113289618.

It is an arithmetic number, because the mean of its divisors is an integer number (40222141960).

Almost surely, 23422136312243 is an apocalyptic number.

3422136312243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3422136312243 is a deficient number, since it is larger than the sum of its proper divisors (2369852129997).

3422136312243 is a wasteful number, since it uses less digits than its factorization.

3422136312243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30382 (or 30368 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 3422136312243 in words is "three trillion, four hundred twenty-two billion, one hundred thirty-six million, three hundred twelve thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 41 43 59 99 121 123 129 177 363 369 387 451 473 531 649 1089 1353 1419 1763 1947 2419 2537 4059 4257 4961 5203 5289 5841 7139 7257 7611 14883 15609 15867 19393 21417 21771 22833 26609 27907 30211 44649 46827 58179 64251 79827 83721 90633 104017 174537 213323 239481 251163 271899 292699 306977 312051 332321 639969 878097 920931 936153 996963 1144187 1238651 1299073 1782449 1919907 2634291 2762793 2990889 3432561 3655531 3715953 3897219 5347347 10297683 10966593 11147859 11691657 12586057 13625161 14289803 16042041 19606939 32899779 37758171 40875483 42869409 53261993 58820817 73080409 76645307 113274513 122626449 128608227 149876771 157187833 159785979 176462451 215676329 219241227 229935921 449630313 471563499 479357937 585881923 647028987 657723681 689807763 803884499 843098377 1348890939 1414690497 1757645769 1941086961 2411653497 2529295131 3142457587 5272937307 6444701153 7234960491 7587885393 8842729489 9274082147 9427372761 19334103459 26528188467 27822246441 28282118283 34567033457 58002310377 79584565401 83466739323 103701100371 311103301113 380237368027 1140712104081 3422136312243