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12245534140 = 2257297128819
BaseRepresentation
bin10110110011110010…
…00000010110111100
31011121102010120212111
423121321000112330
5200034324043030
65343040143404
7612312215500
oct133171002674
934542116774
1012245534140
115214315054
122459007b64
131201ca25b8
14842494300
154ba0c162a
hex2d9e405bc

12245534140 has 72 divisors (see below), whose sum is σ = 30222717840. Its totient is φ = 4155153408.

The previous prime is 12245534137. The next prime is 12245534141. The reversal of 12245534140 is 4143554221.

12245534140 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 (12245534141) 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 23 ways as a sum of consecutive naturals, for example, 30651 + ... + 159469.

It is an arithmetic number, because the mean of its divisors is an integer number (419759970).

Almost surely, 212245534140 is an apocalyptic number.

12245534140 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 12245534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111358920).

12245534140 is an abundant number, since it is smaller than the sum of its proper divisors (17977183700).

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

12245534140 is a wasteful number, since it uses less digits than its factorization.

12245534140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128939 (or 128930 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 12245534140 in words is "twelve billion, two hundred forty-five million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2716 3395 4753 6790 9506 13580 19012 23765 47530 95060 128819 257638 515276 644095 901733 1288190 1803466 2576380 3606932 4508665 6312131 9017330 12495443 12624262 18034660 24990886 25248524 31560655 49981772 62477215 63121310 87468101 124954430 126242620 174936202 249908860 349872404 437340505 612276707 874681010 1224553414 1749362020 2449106828 3061383535 6122767070 12245534140