Search a number
-
+
515052141422013 = 32131071392111402763
BaseRepresentation
bin111010100011011111110101…
…1111011100010010110111101
32111112122111121022012201001100
41311012333223323202112331
51020002103241201001023
65023231404243003313
7213326201131134066
oct16506775373422675
92445574538181040
10515052141422013
1113a1254284a6458
1249924680069539
13191512931b4bb0
149128929c1156d
153e82a4c902c43
hex1d46febee25bd

515052141422013 has 96 divisors (see below), whose sum is σ = 818358602181120. Its totient is φ = 310256390344320.

The previous prime is 515052141421981. The next prime is 515052141422059. The reversal of 515052141422013 is 310224141250515.

515052141422013 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 5 + 2 + 1 + 414 + 220 + 13 = 666.

It is not a de Polignac number, because 515052141422013 - 25 = 515052141421981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515052141429013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366468370 + ... + 367871132.

It is an arithmetic number, because the mean of its divisors is an integer number (8524568772720).

Almost surely, 2515052141422013 is an apocalyptic number.

It is an amenable number.

515052141422013 is a deficient number, since it is larger than the sum of its proper divisors (303306460759107).

515052141422013 is a wasteful number, since it uses less digits than its factorization.

515052141422013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403239 (or 1403236 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 515052141422013 its reverse (310224141250515), we get a palindrome (825276282672528).

The spelling of 515052141422013 in words is "five hundred fifteen trillion, fifty-two billion, one hundred forty-one million, four hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 13 39 107 117 139 211 321 417 633 963 1251 1391 1807 1899 2743 4173 5421 8229 12519 14873 16263 22577 24687 29329 44619 67731 87987 133857 193349 203193 263961 293501 381277 580047 880503 1143831 1402763 1740141 2641509 3138203 3431493 4208289 9414609 12624867 18235919 28243827 40796639 54707757 122389917 150095641 164123271 194984057 295982993 367169751 450286923 584952171 887948979 1350860769 1754856513 1951243333 2534792741 2663846937 3847778909 5853729999 7604378223 11543336727 17561189997 20863294099 22813134669 31670180251 34630010181 41141636027 62589882297 95010540753 123424908081 187769646891 271222823287 285031622259 370274724243 411712343263 534841268351 813668469861 1235137029789 1604523805053 2441005409583 3705411089367 4402155054889 4813571415159 13206465164667 39619395494001 57228015713557 171684047140671 515052141422013