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2444204411140 = 2259713131330727
BaseRepresentation
bin100011100100010101111…
…011111000100100000100
322122122220210210222021111
4203210111323320210010
5310021212312124030
65110504011054404
7341405443462222
oct43442573704404
98578823728244
102444204411140
11862643740578
12335853141404
131496450166bb
148642b783b12
15438a555e62a
hex23915ef8904

2444204411140 has 96 divisors (see below), whose sum is σ = 5242195816704. Its totient is φ = 957117358080.

The previous prime is 2444204410997. The next prime is 2444204411179. The reversal of 2444204411140 is 411144024442.

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 31 ways as a sum of consecutive naturals, for example, 79530457 + ... + 79561183.

It is an arithmetic number, because the mean of its divisors is an integer number (54606206424).

Almost surely, 22444204411140 is an apocalyptic number.

2444204411140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444204411140 is an abundant number, since it is smaller than the sum of its proper divisors (2797991405564).

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

2444204411140 is a wasteful number, since it uses less digits than its factorization.

2444204411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31277 (or 31275 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 2444204411140 its reverse (411144024442), we get a palindrome (2855348435582).

The spelling of 2444204411140 in words is "two trillion, four hundred forty-four billion, two hundred four million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 97 131 194 262 313 388 485 524 626 655 970 1252 1310 1565 1940 2620 3130 6260 12707 25414 30361 30727 41003 50828 60722 61454 63535 82006 121444 122908 127070 151805 153635 164012 205015 254140 303610 307270 410030 607220 614540 820060 2980519 3977291 4025237 5961038 7954582 8050474 9617551 11922076 14902595 15909164 16100948 19235102 19886455 20126185 29805190 38470204 39772910 40252370 48087755 59610380 79545820 80504740 96175510 192351020 390447989 780895978 932902447 1259899181 1561791956 1865804894 1952239945 2519798362 3731609788 3904479890 4664512235 5039596724 6299495905 7808959780 9329024470 12598991810 18658048940 25197983620 122210220557 244420441114 488840882228 611051102785 1222102205570 2444204411140