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40243341324 = 223172191016047
BaseRepresentation
bin100101011110101100…
…001010100000001100
310211212121221120001010
4211132230022200030
51124404243410244
630253150245220
72623160520504
oct453654124014
9124777846033
1040243341324
1116081353a7a
1279714b6810
133a44603204
141d3aa32a04
1510a8052eb9
hex95eb0a80c

40243341324 has 144 divisors (see below), whose sum is σ = 106056760320. Its totient is φ = 11840486400.

The previous prime is 40243341323. The next prime is 40243341353. The reversal of 40243341324 is 42314334204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40243341291 and 40243341300.

It is not an unprimeable number, because it can be changed into a prime (40243341323) 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, 6652069 + ... + 6658115.

It is an arithmetic number, because the mean of its divisors is an integer number (736505280).

Almost surely, 240243341324 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 40243341324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53028380160).

40243341324 is an abundant number, since it is smaller than the sum of its proper divisors (65813418996).

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

40243341324 is a wasteful number, since it uses less digits than its factorization.

40243341324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 40243341324 its reverse (42314334204), we get a palindrome (82557675528).

The spelling of 40243341324 in words is "forty billion, two hundred forty-three million, three hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 101 102 114 202 204 228 289 303 323 404 578 606 646 867 969 1156 1212 1292 1717 1734 1919 1938 3434 3468 3838 3876 5151 5491 5757 6047 6868 7676 10302 10982 11514 12094 16473 18141 20604 21964 23028 24188 29189 32623 32946 36282 58378 65246 65892 72564 87567 97869 102799 114893 116756 130492 175134 195738 205598 229786 308397 344679 350268 391476 411196 459572 554591 610747 616794 689358 1109182 1221494 1233588 1378716 1663773 1747583 1832241 1953181 2218364 2442988 3327546 3495166 3664482 3906362 5242749 5859543 6655092 6990332 7328964 7812724 10382699 10485498 11604193 11719086 20765398 20970996 23208386 23438172 31148097 33204077 34812579 41530796 46416772 62296194 66408154 69625158 99612231 124592388 132816308 139250316 176505883 197271281 199224462 353011766 394542562 398448924 529517649 591813843 706023532 789085124 1059035298 1183627686 2118070596 2367255372 3353611777 6707223554 10060835331 13414447108 20121670662 40243341324