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2442111313140 = 2232583531624241
BaseRepresentation
bin100011100010011001001…
…011010110010011110100
322122110111221021120121100
4203202121023112103310
5310002420444010030
65105520200450100
7341302536442542
oct43423113262364
98573457246540
102442111313140
1186176a197014
1233536a179930
131493a04a4285
14862ad7b2d92
15437d190c360
hex238992d64f4

2442111313140 has 72 divisors (see below), whose sum is σ = 7408629046728. Its totient is φ = 651151319040.

The previous prime is 2442111313129. The next prime is 2442111313153. The reversal of 2442111313140 is 413131112442.

It is a happy number.

2442111313140 is a `hidden beast` number, since 2 + 4 + 4 + 211 + 131 + 314 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42425288676 + 2399686024464 = 205974^2 + 1549092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691420 + ... + 2315660.

It is an arithmetic number, because the mean of its divisors is an integer number (102897625649).

Almost surely, 22442111313140 is an apocalyptic number.

2442111313140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442111313140 is an abundant number, since it is smaller than the sum of its proper divisors (4966517733588).

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

2442111313140 is a wasteful number, since it uses less digits than its factorization.

2442111313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632609 (or 1632604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2442111313140 its reverse (413131112442), we get a palindrome (2855242425582).

The spelling of 2442111313140 in words is "two trillion, four hundred forty-two billion, one hundred eleven million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8353 16706 25059 33412 41765 50118 75177 83530 100236 125295 150354 167060 250590 300708 375885 501180 751770 1503540 1624241 3248482 4872723 6496964 8121205 9745446 14618169 16242410 19490892 24363615 29236338 32484820 48727230 58472676 73090845 97454460 146181690 292363380 13567285073 27134570146 40701855219 54269140292 67836425365 81403710438 122105565657 135672850730 162807420876 203509276095 244211131314 271345701460 407018552190 488422262628 610527828285 814037104380 1221055656570 2442111313140