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4244413024332 = 223213312631112383
BaseRepresentation
bin111101110000111010101…
…110110000100001001100
3120000202120102220210020200
4331300322232300201030
51024020024213234312
613005504553213500
7615435340303065
oct75607256604114
916022512823220
104244413024332
111397055556358
12586719401290
1324a328540460
14109605b3756c
15756185740dc
hex3dc3abb084c

4244413024332 has 144 divisors (see below), whose sum is σ = 11972313120768. Its totient is φ = 1259038442880.

The previous prime is 4244413024331. The next prime is 4244413024343. The reversal of 4244413024332 is 2334203144424.

4244413024332 is a `hidden beast` number, since 4 + 244 + 41 + 302 + 43 + 32 = 666.

4244413024332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42444130243322 (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 not an unprimeable number, because it can be changed into a prime (4244413024331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259413 + ... + 4371795.

Almost surely, 24244413024332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244413024332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986156560384).

4244413024332 is an abundant number, since it is smaller than the sum of its proper divisors (7727900096436).

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

4244413024332 is a wasteful number, since it uses less digits than its factorization.

4244413024332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112700 (or 1112695 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4244413024332 its reverse (2334203144424), we get a palindrome (6578616168756).

The spelling of 4244413024332 in words is "four trillion, two hundred forty-four billion, four hundred thirteen million, twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 263 279 372 403 468 526 558 789 806 1052 1116 1209 1578 1612 2367 2418 3156 3419 3627 4734 4836 6838 7254 8153 9468 10257 13676 14508 16306 20514 24459 30771 32612 41028 48918 61542 73377 97836 105989 123084 146754 211978 293508 317967 423956 635934 953901 1112383 1271868 1907802 2224766 3337149 3815604 4449532 6674298 10011447 13348596 14460979 20022894 28921958 34483873 40045788 43382937 57843916 68967746 86765874 103451619 130148811 137935492 173531748 206903238 260297622 292556729 310354857 413806476 448290349 520595244 585113458 620709714 877670187 896580698 1170226916 1241419428 1344871047 1755340374 1793161396 2633010561 2689742094 3510680748 3803237477 4034613141 5266021122 5379484188 7606474954 8069226282 9069258599 10532042244 11409712431 15212949908 16138452564 18138517198 22819424862 27207775797 34229137293 36277034396 45638849724 54415551594 68458274586 81623327391 108831103188 117900361787 136916549172 163246654782 235800723574 326493309564 353701085361 471601447148 707402170722 1061103256083 1414804341444 2122206512166 4244413024332