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13312242040 = 2357334913063
BaseRepresentation
bin11000110010111100…
…01011000101111000
31021100202022222000111
430121132023011320
5204230413221130
610040543314104
7650614122166
oct143136130570
937322288014
1013312242040
115711460529
1226b62ab934
131341c979c6
14904008236
1552da7d02a
hex31978b178

13312242040 has 64 divisors (see below), whose sum is σ = 30452184000. Its totient is φ = 5236503552.

The previous prime is 13312242029. The next prime is 13312242043. The reversal of 13312242040 is 4024221331.

13312242040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312242043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012549 + ... + 1025611.

It is an arithmetic number, because the mean of its divisors is an integer number (475815375).

Almost surely, 213312242040 is an apocalyptic number.

13312242040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226092000).

13312242040 is an abundant number, since it is smaller than the sum of its proper divisors (17139941960).

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

13312242040 is a wasteful number, since it uses less digits than its factorization.

13312242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496 (or 13492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13312242040 its reverse (4024221331), we get a palindrome (17336463371).

The spelling of 13312242040 in words is "thirteen billion, three hundred twelve million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 349 365 584 698 730 1396 1460 1745 2792 2920 3490 6980 13063 13960 25477 26126 50954 52252 65315 101908 104504 127385 130630 203816 254770 261260 509540 522520 953599 1019080 1907198 3814396 4558987 4767995 7628792 9117974 9535990 18235948 19071980 22794935 36471896 38143960 45589870 91179740 182359480 332806051 665612102 1331224204 1664030255 2662448408 3328060510 6656121020 13312242040