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1014124040413 = 112931374167601
BaseRepresentation
bin11101100000111101000…
…00001101000011011101
310120221122001022000111221
432300132200031003131
5113103411223243123
62053514313413341
7133160640054301
oct16603640150335
93527561260457
101014124040413
113610a6645570
1214466410a251
13748294b76c3
14371261abd01
151b5a66ec25d
hexec1e80d0dd

1014124040413 has 64 divisors (see below), whose sum is σ = 1242924963840. Its totient is φ = 817689600000.

The previous prime is 1014124040399. The next prime is 1014124040417. The reversal of 1014124040413 is 3140404214101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1014124040413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014124040417) 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, 14967813 + ... + 15035413.

It is an arithmetic number, because the mean of its divisors is an integer number (19420702560).

Almost surely, 21014124040413 is an apocalyptic number.

It is an amenable number.

1014124040413 is a deficient number, since it is larger than the sum of its proper divisors (228800923427).

1014124040413 is a wasteful number, since it uses less digits than its factorization.

1014124040413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67750.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1014124040413 its reverse (3140404214101), we get a palindrome (4154528254514).

The spelling of 1014124040413 in words is "one trillion, fourteen billion, one hundred twenty-four million, forty thousand, four hundred thirteen".

Divisors: 1 11 29 31 37 41 319 341 407 451 899 1073 1147 1189 1271 1517 9889 11803 12617 13079 13981 16687 33263 36859 43993 47027 67601 365893 405449 483923 517297 743611 1363783 1960429 2095631 2501237 2771641 15001613 21564719 23051941 27513607 30488051 60773299 72535873 77538347 80377589 85920871 102550717 668506289 797894603 852921817 884153479 945129581 1128057887 2248612063 2491705259 2973970793 3179072227 24734732693 27408757849 32713678723 34969794497 92193094583 1014124040413