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40411410131430 = 23251359585418081
BaseRepresentation
bin10010011000001000000111…
…01111101110100111100110
312022002021220122200010002200
421030010003233232213212
520244100031443201210
6221540425011115330
711340425262340032
oct1114040357564746
9168067818603080
1040411410131430
1111970423550058
1246480035a2b46
131971a19aab360
149d9ccbbcd1c2
154a12d81ba0c0
hex24c103bee9e6

40411410131430 has 96 divisors (see below), whose sum is σ = 115069778197920. Its totient is φ = 9778823608320.

The previous prime is 40411410131347. The next prime is 40411410131437. The reversal of 40411410131430 is 3413101411404.

40411410131430 is a `hidden beast` number, since 4 + 0 + 411 + 4 + 101 + 3 + 143 + 0 = 666.

40411410131430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40411410131394 and 40411410131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40411410131437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292640011 + ... + 292778070.

It is an arithmetic number, because the mean of its divisors is an integer number (1198643522895).

Almost surely, 240411410131430 is an apocalyptic number.

40411410131430 is an abundant number, since it is smaller than the sum of its proper divisors (74658368066490).

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

40411410131430 is a wasteful number, since it uses less digits than its factorization.

40411410131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585418166 (or 585418163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40411410131430 its reverse (3413101411404), we get a palindrome (43824511542834).

The spelling of 40411410131430 in words is "forty trillion, four hundred eleven billion, four hundred ten million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2301 2655 3835 4602 5310 6903 7670 11505 13806 23010 34515 69030 585418081 1170836162 1756254243 2927090405 3512508486 5268762729 5854180810 7610435053 8781271215 10537525458 15220870106 17562542430 22831305159 26343813645 34539666779 38052175265 45662610318 52687627290 68493915477 69079333558 76104350530 103619000337 114156525795 136987830954 172698333895 207238000674 228313051590 310857001011 342469577385 345396667790 449015668127 518095001685 621714002022 684939154770 898031336254 1036190003370 1347047004381 1554285005055 2245078340635 2694094008762 3108570010110 4041141013143 4490156681270 6735235021905 8082282026286 13470470043810 20205705065715 40411410131430