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6121142314441 = 71123173179239467
BaseRepresentation
bin101100100010011000010…
…0000110110010111001001
3210200011201221011202012221
41121010300200312113021
51300242044413030231
621004003003134041
71201144420124320
oct131046040662711
923604657152187
106121142314441
111a4aa642932a0
1282a39a214321
133552b50c1c6b
1417239cb2b0b7
15a9359381d11
hex591308365c9

6121142314441 has 128 divisors (see below), whose sum is σ = 8105154969600. Its totient is φ = 4482138312960.

The previous prime is 6121142314409. The next prime is 6121142314447. The reversal of 6121142314441 is 1444132411216.

It is not a de Polignac number, because 6121142314441 - 25 = 6121142314409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6121142314397 and 6121142314406.

It is not an unprimeable number, because it can be changed into a prime (6121142314447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13107370890 + ... + 13107371356.

It is an arithmetic number, because the mean of its divisors is an integer number (63321523200).

Almost surely, 26121142314441 is an apocalyptic number.

It is an amenable number.

6121142314441 is a deficient number, since it is larger than the sum of its proper divisors (1984012655159).

6121142314441 is a wasteful number, since it uses less digits than its factorization.

6121142314441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099.

The product of its digits is 18432, while the sum is 34.

Adding to 6121142314441 its reverse (1444132411216), we get a palindrome (7565274725657).

The spelling of 6121142314441 in words is "six trillion, one hundred twenty-one billion, one hundred forty-two million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 7 11 23 77 161 173 179 239 253 467 1211 1253 1673 1771 1903 1969 2629 3269 3979 4117 5137 5497 10741 13321 13783 18403 27853 28819 30967 35959 38479 41347 42781 43769 45287 60467 75187 80791 83593 111613 118151 216769 289429 299467 306383 317009 340637 423269 454817 470591 565537 585151 712241 781291 827057 888701 919523 950981 983963 1227743 1858193 1922639 2384459 2567099 3183719 3294137 4985687 6220907 6436661 6656867 6887741 7401113 7834651 8594201 10460791 10823593 13007351 13458473 14461589 17969693 19309049 19978727 20440123 21149029 28238089 51807791 54842557 73225537 75765151 81412243 101231123 135163343 139851089 143080861 148043203 159077479 170225599 197666623 212399539 219765997 332616547 444108127 459510721 569885701 1113542353 1191579193 1486796773 1538361979 1872481589 2328315829 3108756889 3216575047 3456319771 3658782017 4885189397 5054617931 13107371123 24194238397 25611474119 34196325779 35382325517 38019517481 79495354733 266136622367 556467483131 874448902063 6121142314441