Search a number
-
+
12241033040 = 245557274709
BaseRepresentation
bin10110110011001111…
…10101011101010000
31011121002122220112002
423121213311131100
5200032201024130
65342355453132
7612226030655
oct133147653520
934532586462
1012241033040
115211820335
1224575b71a8
131201087922
14841a41c2c
154b99d2b45
hex2d99f5750

12241033040 has 40 divisors (see below), whose sum is σ = 28511601480. Its totient is φ = 4887604736.

The previous prime is 12241033027. The next prime is 12241033087. The reversal of 12241033040 is 4033014221.

It can be written as a sum of positive squares in 4 ways, for example, as 29899024 + 12211134016 = 5468^2 + 110504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92795 + ... + 181914.

It is an arithmetic number, because the mean of its divisors is an integer number (712790037).

Almost surely, 212241033040 is an apocalyptic number.

12241033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12241033040 is an abundant number, since it is smaller than the sum of its proper divisors (16270568440).

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

12241033040 is a wasteful number, since it uses less digits than its factorization.

12241033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275279 (or 275273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12241033040 its reverse (4033014221), we get a palindrome (16274047261).

The spelling of 12241033040 in words is "twelve billion, two hundred forty-one million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 557 1114 2228 2785 4456 5570 8912 11140 22280 44560 274709 549418 1098836 1373545 2197672 2747090 4395344 5494180 10988360 21976720 153012913 306025826 612051652 765064565 1224103304 1530129130 2448206608 3060258260 6120516520 12241033040