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34224141240 = 2332595067059
BaseRepresentation
bin11111110111111010…
…101111001110111000
310021100010202111210200
4133313322233032320
51030042340004430
623420010042200
72321051254302
oct376772571670
9107303674720
1034224141240
11135726a9953
126771719360
1332c5574163
141929466972
15d548c6460
hex7f7eaf3b8

34224141240 has 48 divisors (see below), whose sum is σ = 111228460200. Its totient is φ = 9126437568.

The previous prime is 34224141239. The next prime is 34224141247. The reversal of 34224141240 is 4214142243.

34224141240 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 414 + 1 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224141247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47533170 + ... + 47533889.

Almost surely, 234224141240 is an apocalyptic number.

34224141240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34224141240 is an abundant number, since it is smaller than the sum of its proper divisors (77004318960).

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

34224141240 is a wasteful number, since it uses less digits than its factorization.

34224141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95067076 (or 95067069 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34224141240 its reverse (4214142243), we get a palindrome (38438283483).

The spelling of 34224141240 in words is "thirty-four billion, two hundred twenty-four million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 95067059 190134118 285201177 380268236 475335295 570402354 760536472 855603531 950670590 1140804708 1426005885 1711207062 1901341180 2281609416 2852011770 3422414124 3802682360 4278017655 5704023540 6844828248 8556035310 11408047080 17112070620 34224141240