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4114410421331 = 72419967205477
BaseRepresentation
bin111011110111110101111…
…110001011110001010011
3112120100000100002021222102
4323313311332023301103
51014402303031440311
612430044542231015
7603153632354600
oct73676576136123
915510010067872
104114410421331
111346a03469591
1256549788546b
1323acaac66bb2
141031d21916a7
157205a39943b
hex3bdf5f8bc53

4114410421331 has 24 divisors (see below), whose sum is σ = 4903402061376. Its totient is φ = 3440260010880.

The previous prime is 4114410421241. The next prime is 4114410421339. The reversal of 4114410421331 is 1331240144114.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4114410421331 is a prime.

It is a super-2 number, since 2×41144104213312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114410421294 and 4114410421303.

It is not an unprimeable number, because it can be changed into a prime (4114410421339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19920965 + ... + 20126441.

It is an arithmetic number, because the mean of its divisors is an integer number (204308419224).

Almost surely, 24114410421331 is an apocalyptic number.

4114410421331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4114410421331 is a deficient number, since it is larger than the sum of its proper divisors (788991640045).

4114410421331 is a wasteful number, since it uses less digits than its factorization.

4114410421331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215499 (or 215492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 4114410421331 its reverse (1331240144114), we get a palindrome (5445650565445).

The spelling of 4114410421331 in words is "four trillion, one hundred fourteen billion, four hundred ten million, four hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 7 41 49 287 2009 9967 69769 205477 408647 488383 1438339 2860529 8424557 10068373 20023703 58971899 412803293 2047989259 14335924813 83967559619 100351473691 587772917333 4114410421331