Search a number
-
+
41022412411040 = 255768013338369
BaseRepresentation
bin10010101001111010001100…
…10100011101000010100000
312101020201000110020212212022
421110331012110131002200
520334102400034123130
6223125234110321012
711432525423124014
oct1124750624350240
9171221013225768
1041022412411040
1112086564399115
124726502ab9168
1319b7520c80988
14a1b6d1378544
154b2148dc77e5
hex254f4651d0a0

41022412411040 has 48 divisors (see below), whose sum is σ = 96916740255720. Its totient is φ = 16408746393600.

The previous prime is 41022412411009. The next prime is 41022412411063. The reversal of 41022412411040 is 4011421422014.

It can be written as a sum of positive squares in 4 ways, for example, as 39660420713104 + 1361991697936 = 6297652^2 + 1167044^2 .

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, 10618976 + ... + 13957344.

Almost surely, 241022412411040 is an apocalyptic number.

41022412411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41022412411040 is an abundant number, since it is smaller than the sum of its proper divisors (55894327844680).

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

41022412411040 is a wasteful number, since it uses less digits than its factorization.

41022412411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415185 (or 3415177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 41022412411040 its reverse (4011421422014), we get a palindrome (45033833833054).

The spelling of 41022412411040 in words is "forty-one trillion, twenty-two billion, four hundred twelve million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76801 153602 307204 384005 614408 768010 1228816 1536020 2457632 3072040 3338369 6144080 6676738 12288160 13353476 16691845 26706952 33383690 53413904 66767380 106827808 133534760 267069520 534139040 256390077569 512780155138 1025560310276 1281950387845 2051120620552 2563900775690 4102241241104 5127801551380 8204482482208 10255603102760 20511206205520 41022412411040