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2312441041040 = 245132731814171
BaseRepresentation
bin100001101001101000001…
…110100001000010010000
322012001210222210020121222
4201221220032201002100
5300341334401303130
64530153140504212
7326032305351164
oct41515016410220
98161728706558
102312441041040
11811778756389
123141bb9ab068
1313a0a6a08710
147dccc018ca4
15402429cace5
hex21a683a1090

2312441041040 has 80 divisors (see below), whose sum is σ = 5792123822016. Its totient is φ = 853510694400.

The previous prime is 2312441041037. The next prime is 2312441041049. The reversal of 2312441041040 is 401401442132.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2312441041049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433155 + ... + 3247325.

Almost surely, 22312441041040 is an apocalyptic number.

2312441041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312441041040 is an abundant number, since it is smaller than the sum of its proper divisors (3479682780976).

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

2312441041040 is a wasteful number, since it uses less digits than its factorization.

2312441041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816928 (or 816922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2312441041040 its reverse (401401442132), we get a palindrome (2713842483172).

The spelling of 2312441041040 in words is "two trillion, three hundred twelve billion, four hundred forty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2731 5462 10924 13655 21848 27310 35503 43696 54620 71006 109240 142012 177515 218480 284024 355030 568048 710060 814171 1420120 1628342 2840240 3256684 4070855 6513368 8141710 10584223 13026736 16283420 21168446 32566840 42336892 52921115 65133680 84673784 105842230 169347568 211684460 423368920 846737840 2223501001 4447002002 8894004004 11117505005 17788008008 22235010010 28905513013 35576016016 44470020020 57811026026 88940040040 115622052052 144527565065 177880080080 231244104104 289055130130 462488208208 578110260260 1156220520520 2312441041040