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4224343214340 = 22325101232362113
BaseRepresentation
bin111101011110001110011…
…110100000100100000100
3112221211202202000210200200
4331132032132200210010
51023202423330324330
612552345251410500
7614125106603364
oct75361636404404
915854682023620
104224343214340
111389596686027
12582857bb3a30
1324847a562642
1410866047c9a4
1574d41618a60
hex3d78e7a0904

4224343214340 has 72 divisors (see below), whose sum is σ = 12940710852888. Its totient is φ = 1115338137600.

The previous prime is 4224343214323. The next prime is 4224343214341. The reversal of 4224343214340 is 434123434224.

4224343214340 is a `hidden beast` number, since 4 + 2 + 2 + 43 + 432 + 143 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2573637313536 + 1650705900804 = 1604256^2 + 1284798^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4224343214295 and 4224343214304.

It is not an unprimeable number, because it can be changed into a prime (4224343214341) 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, 116162877 + ... + 116199236.

It is an arithmetic number, because the mean of its divisors is an integer number (179732095179).

Almost surely, 24224343214340 is an apocalyptic number.

It is an amenable number.

4224343214340 is an abundant number, since it is smaller than the sum of its proper divisors (8716367638548).

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

4224343214340 is a wasteful number, since it uses less digits than its factorization.

4224343214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232362229 (or 232362224 counting only the distinct ones).

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

Adding to 4224343214340 its reverse (434123434224), we get a palindrome (4658466648564).

The spelling of 4224343214340 in words is "four trillion, two hundred twenty-four billion, three hundred forty-three million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 232362113 464724226 697086339 929448452 1161810565 1394172678 2091259017 2323621130 2788345356 3485431695 4182518034 4647242260 6970863390 8365036068 10456295085 13941726780 20912590170 23468573413 41825180340 46937146826 70405720239 93874293652 117342867065 140811440478 211217160717 234685734130 281622880956 352028601195 422434321434 469371468260 704057202390 844868642868 1056085803585 1408114404780 2112171607170 4224343214340