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40114415161711 = 117169174331241
BaseRepresentation
bin10010001111011110111010…
…11101110101000101101111
312021000220022120020102221101
421013233131131311011233
520224213310240133321
6221152150302143531
711310112413630532
oct1107573535650557
9167026276212841
1040114415161711
111186647863a560
1245ba538581ba7
13194ca08705797
149c9795c02a19
15498704745791
hex247bdd77516f

40114415161711 has 16 divisors (see below), whose sum is σ = 44441757616896. Its totient is φ = 35901988920000.

The previous prime is 40114415161693. The next prime is 40114415161739. The reversal of 40114415161711 is 11716151441104.

It is a cyclic number.

It is not a de Polignac number, because 40114415161711 - 29 = 40114415161199 is a prime.

It is a super-2 number, since 2×401144151617112 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114415161741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36625950 + ... + 37705291.

It is an arithmetic number, because the mean of its divisors is an integer number (2777609851056).

Almost surely, 240114415161711 is an apocalyptic number.

40114415161711 is a deficient number, since it is larger than the sum of its proper divisors (4327342455185).

40114415161711 is a wasteful number, since it uses less digits than its factorization.

40114415161711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74332014.

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 40114415161711 in words is "forty trillion, one hundred fourteen billion, four hundred fifteen million, one hundred sixty-one thousand, seven hundred eleven".

Divisors: 1 11 71 691 781 7601 49061 539671 74331241 817643651 5277518111 51362887531 58052699221 564991762841 3646765014701 40114415161711