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12422540240 = 2451199714159
BaseRepresentation
bin10111001000111000…
…01110101111010000
31012001202012102120222
423210130032233100
5200420132241430
65412402052212
7616561564325
oct134434165720
935052172528
1012422540240
1152a5222390
1224a834a068
13122c868836
1485bbacb4c
154ca8d79e5
hex2e470ebd0

12422540240 has 80 divisors (see below), whose sum is σ = 31541909760. Its totient is φ = 4512437760.

The previous prime is 12422540219. The next prime is 12422540279. The reversal of 12422540240 is 4204522421.

12422540240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 870281 + ... + 884439.

It is an arithmetic number, because the mean of its divisors is an integer number (394273872).

Almost surely, 212422540240 is an apocalyptic number.

12422540240 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 12422540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770954880).

12422540240 is an abundant number, since it is smaller than the sum of its proper divisors (19119369520).

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

12422540240 is a wasteful number, since it uses less digits than its factorization.

12422540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15174 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The spelling of 12422540240 in words is "twelve billion, four hundred twenty-two million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 997 1994 3988 4985 7976 9970 10967 14159 15952 19940 21934 28318 39880 43868 54835 56636 70795 79760 87736 109670 113272 141590 155749 175472 219340 226544 283180 311498 438680 566360 622996 778745 877360 1132720 1245992 1557490 2491984 3114980 6229960 12459920 14116523 28233046 56466092 70582615 112932184 141165230 155281753 225864368 282330460 310563506 564660920 621127012 776408765 1129321840 1242254024 1552817530 2484508048 3105635060 6211270120 12422540240