Search a number
-
+
41110711029 = 334153712139
BaseRepresentation
bin100110010010011000…
…111010101011110101
310221010002001111121000
4212102120322223311
51133143320223104
630515213113513
72653522164243
oct462230725365
9127102044530
1041110711029
1116486a19743
127b73a88899
133b5221361b
141dbdcd7793
151109286639
hex99263aaf5

41110711029 has 96 divisors (see below), whose sum is σ = 64939190400. Its totient is φ = 25678598400.

The previous prime is 41110710997. The next prime is 41110711069. The reversal of 41110711029 is 92011701114.

It is not a de Polignac number, because 41110711029 - 25 = 41110710997 is a prime.

It is a super-2 number, since 2×411107110292 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41110710993 and 41110711011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41110711069) 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 95 ways as a sum of consecutive naturals, for example, 295760442 + ... + 295760580.

It is an arithmetic number, because the mean of its divisors is an integer number (676449900).

Almost surely, 241110711029 is an apocalyptic number.

It is an amenable number.

41110711029 is a deficient number, since it is larger than the sum of its proper divisors (23828479371).

41110711029 is a wasteful number, since it uses less digits than its factorization.

41110711029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 41110711029 in words is "forty-one billion, one hundred ten million, seven hundred eleven thousand, twenty-nine".

Divisors: 1 3 9 27 41 53 71 123 139 159 213 369 417 477 639 1107 1251 1431 1917 2173 2911 3753 3763 5041 5699 6519 7367 8733 9869 11289 15123 17097 19557 22101 26199 29607 33867 45369 51291 58671 66303 78597 88821 101601 136107 153873 154283 198909 206681 266463 267173 302047 404629 462849 523057 620043 700699 801519 906141 1213887 1388547 1569171 1860129 2102097 2404557 2718423 3641661 4165641 4707513 5580387 6306291 7213671 8155269 10924983 10954093 14122539 18918873 21445337 28728659 32862279 37137047 64336011 86185977 98586837 111411141 193008033 258557931 295760511 334233423 579024099 775673793 1002700269 1522618927 4567856781 13703570343 41110711029