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4140711040807 = 11313783247639
BaseRepresentation
bin111100010000010101100…
…111000101011100100111
3112122211220021100012022001
4330100111213011130213
51020320134011301212
612450114423550131
7605104452056515
oct74202547053447
915584807305261
104140711040807
11135707a486240
1256a5b78bb347
1324060ca94323
141045a917b4b5
1572a99330657
hex3c4159c5727

4140711040807 has 48 divisors (see below), whose sum is σ = 4847370762240. Its totient is φ = 3501621662400.

The previous prime is 4140711040801. The next prime is 4140711040813. The reversal of 4140711040807 is 7080401170414.

4140711040807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4140711040801) and next prime (4140711040813).

It is not a de Polignac number, because 4140711040807 - 219 = 4140710516519 is a prime.

It is a super-2 number, since 2×41407110408072 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140711040801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86894694 + ... + 86942332.

It is an arithmetic number, because the mean of its divisors is an integer number (100986890880).

Almost surely, 24140711040807 is an apocalyptic number.

4140711040807 is a deficient number, since it is larger than the sum of its proper divisors (706659721433).

4140711040807 is a wasteful number, since it uses less digits than its factorization.

4140711040807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47884 (or 47801 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 4140711040807 in words is "four trillion, one hundred forty billion, seven hundred eleven million, forty thousand, eight hundred seven".

Divisors: 1 11 31 37 83 341 407 913 1147 2573 3071 6889 12617 28303 33781 47639 75779 95201 213559 254893 524029 1047211 1476809 1762643 2349149 2803823 3954037 7901683 16244899 19389073 43494407 54641933 86918513 122575147 146299369 328185071 601061263 1348326617 1609293059 3610035781 4535280439 10173737201 12142847627 49888084829 111911109211 133571323897 376428276437 4140711040807