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4221441400341 = 3111724311027003
BaseRepresentation
bin111101011011100001100…
…000111101111000010101
3112221120021111202101020010
4331123201200331320111
51023131002444302331
612551145311430433
7613663152566304
oct75334140757025
915846244671203
104221441400341
111388337688240
12582188225419
13248107308039
14108466d1443b
1574c219bbe46
hex3d6e183de15

4221441400341 has 48 divisors (see below), whose sum is σ = 6537858167808. Its totient is φ = 2402363078400.

The previous prime is 4221441400283. The next prime is 4221441400349. The reversal of 4221441400341 is 1430041441224.

It is a happy number.

It is not a de Polignac number, because 4221441400341 - 215 = 4221441367573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4221441400299 and 4221441400308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221441400349) 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 47 ways as a sum of consecutive naturals, for example, 3596946 + ... + 4623948.

It is an arithmetic number, because the mean of its divisors is an integer number (136205378496).

Almost surely, 24221441400341 is an apocalyptic number.

It is an amenable number.

4221441400341 is a deficient number, since it is larger than the sum of its proper divisors (2316416767467).

4221441400341 is a wasteful number, since it uses less digits than its factorization.

4221441400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027482 (or 1027465 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4221441400341 its reverse (1430041441224), we get a palindrome (5651482841565).

The spelling of 4221441400341 in words is "four trillion, two hundred twenty-one billion, four hundred forty-one million, four hundred thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 187 289 431 561 867 1293 3179 4741 7327 9537 14223 21981 80597 124559 241791 373677 1027003 1370149 3081009 4110447 11297033 17459051 33891099 52377153 192049561 296803867 442638293 576148683 890411601 1327914879 3264842537 4869021223 7524850981 9794527611 14607063669 22574552943 82773360791 127922466677 248320082373 383767400031 1407147133447 4221441400341