Search a number
-
+
31142242130535 = 3351033536344599
BaseRepresentation
bin1110001010010110111100…
…10001111001101001100111
311002021011120101210002121000
413011023132101321221213
513040213302441134120
6150122314252124343
76362644535324244
oct705133621715147
9132234511702530
1031142242130535
119a17394895a28
1235ab6a9a666b3
13144b91595c923
14799414b085cb
15390134001990
hex1c52de479a67

31142242130535 has 64 divisors (see below), whose sum is σ = 56059870464000. Its totient is φ = 16401344154624.

The previous prime is 31142242130501. The next prime is 31142242130557. The reversal of 31142242130535 is 53503124224113.

31142242130535 is a `hidden beast` number, since 3 + 11 + 42 + 2 + 42 + 1 + 30 + 535 = 666.

It is not a de Polignac number, because 31142242130535 - 212 = 31142242126439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31142242130535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1736166 + ... + 8080764.

It is an arithmetic number, because the mean of its divisors is an integer number (875935476000).

Almost surely, 231142242130535 is an apocalyptic number.

31142242130535 is a deficient number, since it is larger than the sum of its proper divisors (24917628333465).

31142242130535 is a wasteful number, since it uses less digits than its factorization.

31142242130535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345069 (or 6345063 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 31142242130535 its reverse (53503124224113), we get a palindrome (84645366354648).

The spelling of 31142242130535 in words is "thirty-one trillion, one hundred forty-two billion, two hundred forty-two million, one hundred thirty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 103 135 309 353 515 927 1059 1545 1765 2781 3177 4635 5295 9531 13905 15885 36359 47655 109077 181795 327231 545385 981693 1636155 4908465 6344599 19033797 31722995 57101391 95168985 171304173 285506955 653493697 856520865 1960481091 2239643447 3267468485 5881443273 6718930341 9802405455 11198217235 17644329819 20156791023 29407216365 33594651705 60470373069 88221649095 100783955115 230683275041 302351865345 692049825123 1153416375205 2076149475369 3460249125615 6228448426107 10380747376845 31142242130535