Search a number
-
+
40411809576 = 23338313117207
BaseRepresentation
bin100101101000101110…
…110100011100101000
310212022100221122001000
4211220232310130220
51130230410401301
630322005155000
72630304466545
oct455056643450
9125270848030
1040411809576
111615845a736
1279b99bba60
133a7049a278
141d55167bcc
1510b7c2e786
hex968bb4728

40411809576 has 128 divisors (see below), whose sum is σ = 114481382400. Its totient is φ = 13205949120.

The previous prime is 40411809551. The next prime is 40411809583. The reversal of 40411809576 is 67590811404.

40411809576 is a `hidden beast` number, since 4 + 0 + 411 + 80 + 95 + 76 = 666.

It is a super-2 number, since 2×404118095762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2339965 + ... + 2357171.

It is an arithmetic number, because the mean of its divisors is an integer number (894385800).

Almost surely, 240411809576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40411809576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57240691200).

40411809576 is an abundant number, since it is smaller than the sum of its proper divisors (74069572824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40411809576 is a wasteful number, since it uses less digits than its factorization.

40411809576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17436 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40411809576 in words is "forty billion, four hundred eleven million, eight hundred nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 131 166 216 249 262 332 393 498 524 664 747 786 996 1048 1179 1494 1572 1992 2241 2358 2988 3144 3537 4482 4716 5976 7074 8964 9432 10873 14148 17207 17928 21746 28296 32619 34414 43492 51621 65238 68828 86984 97857 103242 130476 137656 154863 195714 206484 260952 293571 309726 391428 412968 464589 587142 619452 782856 929178 1174284 1238904 1428181 1858356 2254117 2348568 2856362 3716712 4284543 4508234 5712724 6762351 8569086 9016468 11425448 12853629 13524702 17138172 18032936 20287053 25707258 27049404 34276344 38560887 40574106 51414516 54098808 60861159 77121774 81148212 102829032 121722318 154243548 162296424 187091711 243444636 308487096 374183422 486889272 561275133 748366844 1122550266 1496733688 1683825399 2245100532 3367650798 4490201064 5051476197 6735301596 10102952394 13470603192 20205904788 40411809576