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1140041123435 = 517373113473359
BaseRepresentation
bin10000100101101111101…
…111110000011001101011
311000222122102111120222102
4100211233233300121223
5122134301011422220
62231421101444015
7145236165442514
oct20455757603153
94028572446872
101140041123435
113aa541547745
12164b4557060b
1383675528816
143d26d2dba0b
151e9c5dac775
hex1096fbf066b

1140041123435 has 64 divisors (see below), whose sum is σ = 1497202237440. Its totient is φ = 829852600320.

The previous prime is 1140041123411. The next prime is 1140041123437. The reversal of 1140041123435 is 5343211400411.

It is not a de Polignac number, because 1140041123435 - 26 = 1140041123371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1140041123398 and 1140041123407.

It is not an unprimeable number, because it can be changed into a prime (1140041123437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339397286 + ... + 339400644.

It is an arithmetic number, because the mean of its divisors is an integer number (23393784960).

Almost surely, 21140041123435 is an apocalyptic number.

1140041123435 is a deficient number, since it is larger than the sum of its proper divisors (357161114005).

1140041123435 is a wasteful number, since it uses less digits than its factorization.

1140041123435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1140041123435 its reverse (5343211400411), we get a palindrome (6483252523846).

The spelling of 1140041123435 in words is "one trillion, one hundred forty billion, forty-one million, one hundred twenty-three thousand, four hundred thirty-five".

Divisors: 1 5 17 37 85 185 311 347 629 1555 1735 3145 3359 5287 5899 11507 12839 16795 26435 29495 57103 57535 64195 107917 124283 195619 218263 285515 539585 621415 978095 1044649 1091315 1165573 1834589 2112811 3992929 5223245 5827865 9172945 10564055 17759033 19814741 19964645 38652013 43126201 67879793 88795165 99073705 193260065 215631005 339398965 362493203 657084221 733145417 1812466015 3285421105 3665727085 6162384451 13412248511 30811922255 67061242555 228008224687 1140041123435