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4014342333441 = 33113245945427
BaseRepresentation
bin111010011010101001011…
…100101110010000000001
3112012202201102022201201000
4322122221130232100001
51011232333114132231
612312055144002213
7563012100555246
oct72325134562001
915182642281630
104014342333441
111308522659000
1254a00b160369
1323172130807b
14dc41c0895cd
156e6501b06e6
hex3a6a972e401

4014342333441 has 64 divisors (see below), whose sum is σ = 6544248652800. Its totient is φ = 2431891812240.

The previous prime is 4014342333413. The next prime is 4014342333451. The reversal of 4014342333441 is 1443332434104.

4014342333441 is a `hidden beast` number, since 4 + 0 + 143 + 42 + 3 + 33 + 441 = 666.

It is not a de Polignac number, because 4014342333441 - 217 = 4014342202369 is a prime.

It is a super-2 number, since 2×40143423334412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014342333396 and 4014342333405.

It is not an unprimeable number, because it can be changed into a prime (4014342333451) 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 63 ways as a sum of consecutive naturals, for example, 88346370 + ... + 88391796.

It is an arithmetic number, because the mean of its divisors is an integer number (102253885200).

Almost surely, 24014342333441 is an apocalyptic number.

It is an amenable number.

4014342333441 is a deficient number, since it is larger than the sum of its proper divisors (2529906319359).

4014342333441 is a wasteful number, since it uses less digits than its factorization.

4014342333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47928 (or 47900 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4014342333441 its reverse (1443332434104), we get a palindrome (5457674767545).

The spelling of 4014342333441 in words is "four trillion, fourteen billion, three hundred forty-two million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1331 2459 3267 3993 7377 11979 22131 27049 35937 45427 66393 81147 136281 243441 297539 408843 499697 730323 892617 1226529 1499091 2677851 3272929 4497273 5496667 8033553 9818787 13491819 16490001 29456361 49470003 60463337 88369083 111704993 148410009 181390011 335114979 544170033 1005344937 1228754923 1632510099 3016034811 3686264769 11058794307 13516304153 33176382921 40548912459 121646737377 148679345683 364940212131 446038037049 1338114111147 4014342333441