Search a number
-
+
2340049825845 = 3252959179169789
BaseRepresentation
bin100010000011010101110…
…101101011000000110101
322021201002002120211102100
4202003111311223000311
5301314410223411340
64551000512532313
7331030421222154
oct42032565530065
98251062524370
102340049825845
11822456138006
12319625b51099
1313c88686c584
148138aa4d59b
1540d0b716830
hex220d5d6b035

2340049825845 has 96 divisors (see below), whose sum is σ = 4290932880000. Its totient is φ = 1177942961664.

The previous prime is 2340049825837. The next prime is 2340049825853. The reversal of 2340049825845 is 5485289400432.

2340049825845 is a `hidden beast` number, since 2 + 340 + 0 + 4 + 9 + 8 + 258 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (2340049825837) and next prime (2340049825853).

It is not a de Polignac number, because 2340049825845 - 23 = 2340049825837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2340049825791 and 2340049825800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13697211 + ... + 13866999.

It is an arithmetic number, because the mean of its divisors is an integer number (44697217500).

Almost surely, 22340049825845 is an apocalyptic number.

It is an amenable number.

2340049825845 is a deficient number, since it is larger than the sum of its proper divisors (1950883054155).

2340049825845 is a wasteful number, since it uses less digits than its factorization.

2340049825845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170067 (or 170064 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 2340049825845 in words is "two trillion, three hundred forty billion, forty-nine million, eight hundred twenty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 29 45 59 87 145 177 179 261 295 435 531 537 885 895 1305 1611 1711 2655 2685 5133 5191 8055 8555 10561 15399 15573 25665 25955 31683 46719 52805 76995 77865 95049 158415 169789 233595 306269 475245 509367 848945 918807 1528101 1531345 2546835 2756421 4594035 4923881 7640505 10017551 13782105 14771643 24619405 30052653 30392231 44314929 50087755 73858215 90157959 91176693 150263265 151961155 221574645 273530079 290508979 450789795 455883465 871526937 881374699 1367650395 1452544895 1793141629 2614580811 2644124097 4357634685 4406873495 5379424887 7932372291 8965708145 13072904055 13220620485 16138274661 26897124435 39661861455 52001107241 80691373305 156003321723 260005536205 468009965169 780016608615 2340049825845