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12440642600 = 2352431144323
BaseRepresentation
bin10111001011000010…
…10010010000101000
31012010000021010100202
423211201102100220
5200434301030400
65414250051332
7620201501021
oct134541222050
935100233322
1012440642600
115304466a11
1224b2419b48
1312335362a9
14860361c48
154cc2b14d5
hex2e5852428

12440642600 has 48 divisors (see below), whose sum is σ = 28991805120. Its totient is φ = 4964676800.

The previous prime is 12440642573. The next prime is 12440642603. The reversal of 12440642600 is 624604421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12440642603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14039 + ... + 158361.

It is an arithmetic number, because the mean of its divisors is an integer number (603995940).

Almost surely, 212440642600 is an apocalyptic number.

12440642600 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 12440642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495902560).

12440642600 is an abundant number, since it is smaller than the sum of its proper divisors (16551162520).

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

12440642600 is a wasteful number, since it uses less digits than its factorization.

12440642600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144770 (or 144761 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 12440642600 in words is "twelve billion, four hundred forty million, six hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 43100 86200 144323 288646 577292 721615 1154584 1443230 2886460 3608075 5772920 7216150 14432300 28864600 62203213 124406426 248812852 311016065 497625704 622032130 1244064260 1555080325 2488128520 3110160650 6220321300 12440642600