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40236242004774 = 236411788137643
BaseRepresentation
bin10010010011000001110101…
…11010010110101100100110
312021110112202212221022000000
421021200322322112230212
520233212310423123044
6221324135134202130
711321654405000154
oct1111407272265446
9167415685838000
1040236242004774
1111903104722932
12461a078053346
13195b35221ac7a
149d1631a0c3d4
1549b984ca7d69
hex24983ae96b26

40236242004774 has 112 divisors (see below), whose sum is σ = 92704872801744. Its totient is φ = 13083877382400.

The previous prime is 40236242004727. The next prime is 40236242004859. The reversal of 40236242004774 is 47740024263204.

It is a happy number.

40236242004774 is a `hidden beast` number, since 40 + 2 + 362 + 4 + 200 + 47 + 7 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1068871597 + ... + 1068909239.

It is an arithmetic number, because the mean of its divisors is an integer number (827722078587).

Almost surely, 240236242004774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40236242004774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46352436400872).

40236242004774 is an abundant number, since it is smaller than the sum of its proper divisors (52468630796970).

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

40236242004774 is a wasteful number, since it uses less digits than its factorization.

40236242004774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55585 (or 55570 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

Adding to 40236242004774 its reverse (47740024263204), we get a palindrome (87976266267978).

The spelling of 40236242004774 in words is "forty trillion, two hundred thirty-six billion, two hundred forty-two million, four thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2214 3321 6642 9963 17881 19926 29889 35762 37643 53643 59778 75286 107286 112929 160929 225858 321858 338787 482787 677574 733121 965574 1016361 1448361 1466242 1543363 2032722 2199363 2896722 3049083 3086726 4345083 4398726 4630089 6098166 6598089 8690166 9147249 9260178 13035249 13196178 13890267 18294498 19794267 26070498 27441747 27780534 39588534 41670801 54883494 59382801 83341602 118765602 125012403 178148403 250024806 356296806 375037209 534445209 673094483 750074418 1068890418 1125111627 1346188966 2019283449 2250223254 4038566898 6057850347 12115700694 18173551041 27596873803 36347102082 54520653123 55193747606 82790621409 109041306246 163561959369 165581242818 248371864227 327123918738 490685878107 496743728454 745115592681 981371756214 1490231185362 2235346778043 4470693556086 6706040334129 13412080668258 20118121002387 40236242004774