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4112334321444 = 223518123374567
BaseRepresentation
bin111011110101111010001…
…110011111011100100100
3112120010122122112111100000
4323311322032133130210
51014334030041241234
612425102540221300
7603051322662336
oct73657216373444
915503578474300
104112334321444
111346038574a58
12564bb853a830
1323aa39ac671b
14103076567456
1571e87ea3899
hex3bd7a39f724

4112334321444 has 72 divisors (see below), whose sum is σ = 10839628666048. Its totient is φ = 1363204689120.

The previous prime is 4112334321439. The next prime is 4112334321451. The reversal of 4112334321444 is 4441234332114.

4112334321444 is a `hidden beast` number, since 41 + 1 + 23 + 343 + 214 + 44 = 666.

It is a super-2 number, since 2×41123343214442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4112334321399 and 4112334321408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11511352 + ... + 11863215.

Almost surely, 24112334321444 is an apocalyptic number.

It is an amenable number.

4112334321444 is an abundant number, since it is smaller than the sum of its proper divisors (6727294344604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4112334321444 is a wasteful number, since it uses less digits than its factorization.

4112334321444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23374767 (or 23374753 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4112334321444 its reverse (4441234332114), we get a palindrome (8553568653558).

The spelling of 4112334321444 in words is "four trillion, one hundred twelve billion, three hundred thirty-four million, three hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 972 1086 1629 2172 3258 4887 6516 9774 14661 19548 29322 43983 58644 87966 175932 23374567 46749134 70123701 93498268 140247402 210371103 280494804 420742206 631113309 841484412 1262226618 1893339927 2524453236 3786679854 4230796627 5680019781 7573359708 8461593254 11360039562 12692389881 16923186508 22720079124 25384779762 38077169643 50769559524 76154339286 114231508929 152308678572 228463017858 342694526787 456926035716 685389053574 1028083580361 1370778107148 2056167160722 4112334321444