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13775140041 = 3132997307409
BaseRepresentation
bin11001101010000111…
…11111010011001001
31022120000100121200220
430311003333103021
5211202413440131
610154521020253
7665234521065
oct146503772311
938500317626
1013775140041
115929786663
122805324689
1313b6b5c350
149496a2aa5
15559517e96
hex3350ff4c9

13775140041 has 64 divisors (see below), whose sum is σ = 20790739200. Its totient is φ = 8054194176.

The previous prime is 13775140039. The next prime is 13775140073. The reversal of 13775140041 is 14004157731.

It is a happy number.

It is not a de Polignac number, because 13775140041 - 21 = 13775140039 is a prime.

It is a super-2 number, since 2×137751400412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13775139984 and 13775140011.

It is not an unprimeable number, because it can be changed into a prime (13775140091) 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 63 ways as a sum of consecutive naturals, for example, 33679845 + ... + 33680253.

It is an arithmetic number, because the mean of its divisors is an integer number (324855300).

Almost surely, 213775140041 is an apocalyptic number.

It is an amenable number.

13775140041 is a deficient number, since it is larger than the sum of its proper divisors (7015599159).

13775140041 is a wasteful number, since it uses less digits than its factorization.

13775140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858.

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 13775140041 its reverse (14004157731), we get a palindrome (27779297772).

The spelling of 13775140041 in words is "thirteen billion, seven hundred seventy-five million, one hundred forty thousand, forty-one".

Divisors: 1 3 13 29 39 87 97 291 307 377 409 921 1131 1227 1261 2813 3783 3991 5317 8439 8903 11861 11973 15951 26709 29779 35583 36569 39673 89337 109707 115739 119019 125563 154193 347217 376689 387127 462579 515749 863591 1150517 1161381 1547247 1632319 2590773 3451551 3641327 4896957 10923981 11226683 12179611 14956721 33680049 36538833 44870163 47337251 142011753 158334943 353208719 475004829 1059626157 4591713347 13775140041