Search a number
-
+
40424210432 = 2154130089
BaseRepresentation
bin100101101001011110…
…001000000000000000
310212100020021122210222
4211221132020000000
51130242044213212
630323131042212
72630515055624
oct455136100000
9125306248728
1040424210432
111616445a681
127a01ba0368
133a72c1c858
141d56a75184
1510b8d7dc72
hex969788000

40424210432 has 64 divisors (see below), whose sum is σ = 82821822300. Its totient is φ = 19718471680.

The previous prime is 40424210419. The next prime is 40424210447. The reversal of 40424210432 is 23401242404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37208866816 + 3215343616 = 192896^2 + 56704^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328444 + ... + 1358532.

Almost surely, 240424210432 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 40424210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41410911150).

40424210432 is an abundant number, since it is smaller than the sum of its proper divisors (42397611868).

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

40424210432 is an frugal number, since it uses more digits than its factorization.

40424210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160 (or 30132 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40424210432 its reverse (23401242404), we get a palindrome (63825452836).

The spelling of 40424210432 in words is "forty billion, four hundred twenty-four million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 4096 5248 8192 10496 16384 20992 30089 32768 41984 60178 83968 120356 167936 240712 335872 481424 671744 962848 1233649 1343488 1925696 2467298 3851392 4934596 7702784 9869192 15405568 19738384 30811136 39476768 61622272 78953536 123244544 157907072 246489088 315814144 492978176 631628288 985956352 1263256576 2526513152 5053026304 10106052608 20212105216 40424210432