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40413234211300 = 22524173135025841
BaseRepresentation
bin10010011000001011100000…
…11110000010100111100100
312022002110121202222222021101
421030011300132002213210
520244112300424230200
6221541330011325444
711340521421635116
oct1114056036024744
9168073552888241
1040413234211300
111197117a161285
124648432450884
131971c4a97c862
149da0221733b6
154a13933cd26a
hex24c1707829e4

40413234211300 has 72 divisors (see below), whose sum is σ = 91066288775112. Its totient is φ = 15554976768000.

The previous prime is 40413234211123. The next prime is 40413234211319. The reversal of 40413234211300 is 311243231404.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 31714085088676 + 8699149122624 = 5631526^2 + 2949432^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67213621 + ... + 67812220.

It is an arithmetic number, because the mean of its divisors is an integer number (1264809566321).

Almost surely, 240413234211300 is an apocalyptic number.

It is an amenable number.

40413234211300 is an abundant number, since it is smaller than the sum of its proper divisors (50653054563812).

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

40413234211300 is a wasteful number, since it uses less digits than its factorization.

40413234211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135025969 (or 135025962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 40413234211300 its reverse (311243231404), we get a palindrome (40724477442704).

The spelling of 40413234211300 in words is "forty trillion, four hundred thirteen billion, two hundred thirty-four million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 73 82 100 146 164 205 292 365 410 730 820 1025 1460 1825 2050 2993 3650 4100 5986 7300 11972 14965 29930 59860 74825 149650 299300 135025841 270051682 540103364 675129205 1350258410 2700516820 3375646025 5536059481 6751292050 9856886393 11072118962 13502584100 19713772786 22144237924 27680297405 39427545572 49284431965 55360594810 98568863930 110721189620 138401487025 197137727860 246422159825 276802974050 404132342113 492844319650 553605948100 808264684226 985688639300 1616529368452 2020661710565 4041323421130 8082646842260 10103308552825 20206617105650 40413234211300