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40532431232 = 277313133113
BaseRepresentation
bin100101101111111010…
…111101000110000000
310212121202220211211202
4211233322331012000
51131002300244412
630341554400332
72633300660306
oct455772750600
9125552824752
1040532431232
111620a556557
127a322900a8
133a8c481127
141d671a6276
1510c36093c2
hex96febd180

40532431232 has 64 divisors (see below), whose sum is σ = 82481675760. Its totient is φ = 19835412480.

The previous prime is 40532431213. The next prime is 40532431243. The reversal of 40532431232 is 23213423504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40532431195 and 40532431204.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1207508 + ... + 1240620.

Almost surely, 240532431232 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 40532431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41240837880).

40532431232 is an abundant number, since it is smaller than the sum of its proper divisors (41949244528).

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

40532431232 is a wasteful number, since it uses less digits than its factorization.

40532431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33331 (or 33319 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 40532431232 its reverse (23213423504), we get a palindrome (63745854736).

The spelling of 40532431232 in words is "forty billion, five hundred thirty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 131 146 262 292 524 584 1048 1168 2096 2336 4192 4672 8384 9344 9563 16768 19126 33113 38252 66226 76504 132452 153008 264904 306016 529808 612032 1059616 1224064 2119232 2417249 4238464 4337803 4834498 8675606 9668996 17351212 19337992 34702424 38675984 69404848 77351968 138809696 154703936 277619392 309407872 316659619 555238784 633319238 1266638476 2533276952 5066553904 10133107808 20266215616 40532431232