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2312441142240 = 25354817585713
BaseRepresentation
bin100001101001101000001…
…110111001101111100000
322012001210222222101110010
4201221220032321233200
5300341334413022430
64530153143004520
7326032306252215
oct41515016715740
98161728871403
102312441142240
11811778815419
123141bba39740
1313a0a6a427b8
147dccc043b0c
15402429eacb0
hex21a683b9be0

2312441142240 has 48 divisors (see below), whose sum is σ = 7284189599568. Its totient is φ = 616650971136.

The previous prime is 2312441142239. The next prime is 2312441142247. The reversal of 2312441142240 is 422411442132.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2312441142198 and 2312441142207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312441142247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2408792377 + ... + 2408793336.

It is an arithmetic number, because the mean of its divisors is an integer number (151753949991).

Almost surely, 22312441142240 is an apocalyptic number.

2312441142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312441142240 is an abundant number, since it is smaller than the sum of its proper divisors (4971748457328).

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

2312441142240 is a wasteful number, since it uses less digits than its factorization.

2312441142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817585731 (or 4817585723 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2312441142240 its reverse (422411442132), we get a palindrome (2734852584372).

The spelling of 2312441142240 in words is "two trillion, three hundred twelve billion, four hundred forty-one million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4817585713 9635171426 14452757139 19270342852 24087928565 28905514278 38540685704 48175857130 57811028556 72263785695 77081371408 96351714260 115622057112 144527571390 154162742816 192703428520 231244114224 289055142780 385406857040 462488228448 578110285560 770813714080 1156220571120 2312441142240