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24140244132 = 22332003111593
BaseRepresentation
bin10110011110110111…
…101110010010100100
32022022101010110111000
4112132313232102210
5343414400303012
615031225113300
71513134455334
oct263667562244
968271113430
1024140244132
11a2685a1794
124818628830
132379390834
1412501050c4
15964494ddc
hex59edee4a4

24140244132 has 48 divisors (see below), whose sum is σ = 62617625280. Its totient is φ = 8042658624.

The previous prime is 24140244131. The next prime is 24140244151. The reversal of 24140244132 is 23144204142.

24140244132 is a `hidden beast` number, since 2 + 414 + 0 + 244 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 24140244096 and 24140244105.

It is not an unprimeable number, because it can be changed into a prime (24140244131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160528 + ... + 272120.

It is an arithmetic number, because the mean of its divisors is an integer number (1304533860).

Almost surely, 224140244132 is an apocalyptic number.

It is an amenable number.

24140244132 is an abundant number, since it is smaller than the sum of its proper divisors (38477381148).

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

24140244132 is a wasteful number, since it uses less digits than its factorization.

24140244132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113609 (or 113601 counting only the distinct ones).

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

Adding to 24140244132 its reverse (23144204142), we get a palindrome (47284448274).

The spelling of 24140244132 in words is "twenty-four billion, one hundred forty million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2003 4006 6009 8012 12018 18027 24036 36054 54081 72108 108162 111593 216324 223186 334779 446372 669558 1004337 1339116 2008674 3013011 4017348 6026022 12052044 223520779 447041558 670562337 894083116 1341124674 2011687011 2682249348 4023374022 6035061033 8046748044 12070122066 24140244132