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133614433341 = 32313794612741
BaseRepresentation
bin111110001110000001…
…0100111010000111101
3110202212211010111001100
41330130002213100331
54142120243331331
6141214233003313
712440042641614
oct1743402472075
9422784114040
10133614433341
1151735956424
1221a8b253539
13c7a496939c
14667753487b
153720326ae6
hex1f1c0a743d

133614433341 has 48 divisors (see below), whose sum is σ = 200256376320. Its totient is φ = 85757616000.

The previous prime is 133614433313. The next prime is 133614433357. The reversal of 133614433341 is 143334416331.

133614433341 is a `hidden beast` number, since 1 + 3 + 3 + 614 + 4 + 3 + 3 + 34 + 1 = 666.

It is not a de Polignac number, because 133614433341 - 27 = 133614433213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133614433296 and 133614433305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133614433361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48745231 + ... + 48747971.

It is an arithmetic number, because the mean of its divisors is an integer number (4172007840).

Almost surely, 2133614433341 is an apocalyptic number.

It is an amenable number.

133614433341 is a deficient number, since it is larger than the sum of its proper divisors (66641942979).

133614433341 is a wasteful number, since it uses less digits than its factorization.

133614433341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3615 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 133614433341 its reverse (143334416331), we get a palindrome (276948849672).

The spelling of 133614433341 in words is "one hundred thirty-three billion, six hundred fourteen million, four hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 9 31 93 279 379 461 1137 1383 2741 3411 4149 8223 11749 14291 24669 35247 42873 84971 105741 128619 174719 254913 524157 764739 1038839 1263601 1572471 3116517 3790803 5416289 9349551 11372409 16248867 32204009 39171631 48746601 96612027 117514893 289836081 352544679 478904779 1436714337 4310143011 14846048149 44538144447 133614433341