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10403434041 = 37111337109859
BaseRepresentation
bin10011011000001011…
…11100111000111001
3222212000220012120220
421230011330320321
5132301234342131
64440153410253
7515543505330
oct115405747071
928760805526
1010403434041
114459515a80
122024109989
13c9a461b40
1470997cd17
1540d4ede96
hex26c17ce39

10403434041 has 128 divisors (see below), whose sum is σ = 19325644800. Its totient is φ = 4803701760.

The previous prime is 10403434007. The next prime is 10403434043. The reversal of 10403434041 is 14043430401.

It is not a de Polignac number, because 10403434041 - 26 = 10403433977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10403434043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12110670 + ... + 12111528.

It is an arithmetic number, because the mean of its divisors is an integer number (150981600).

Almost surely, 210403434041 is an apocalyptic number.

10403434041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10403434041 is a deficient number, since it is larger than the sum of its proper divisors (8922210759).

10403434041 is a wasteful number, since it uses less digits than its factorization.

10403434041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10403434041 its reverse (14043430401), we get a palindrome (24446864442).

It can be divided in two parts, 104034 and 34041, that added together give a triangular number (138075 = T525).

The spelling of 10403434041 in words is "ten billion, four hundred three million, four hundred thirty-four thousand, forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 109 111 143 231 259 273 327 407 429 481 763 777 859 1001 1199 1221 1417 1443 2289 2577 2849 3003 3367 3597 4033 4251 5291 6013 8393 8547 9449 9919 10101 11167 12099 15587 15873 18039 25179 28231 28347 29757 31783 33501 37037 44363 46761 52429 66143 78169 84693 93631 95349 109109 111111 122837 133089 157287 198429 222481 234507 280893 310541 327327 349613 367003 368511 413179 576719 655417 667443 859859 931623 1029941 1048839 1101009 1217203 1239537 1730157 1966251 2447291 2579577 2892253 3089823 3464347 3651609 4037033 4544969 7209587 7341873 8520421 8676759 10393041 12111099 13389233 13634907 21628761 24250429 25561263 31814783 38107817 40167699 45036511 72751287 93724631 95444349 114323451 135109533 266754719 281173893 315255577 495401621 800264157 945766731 1486204863 3467811347 10403434041