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40424404000 = 255310106101
BaseRepresentation
bin100101101001011110…
…110111010000100000
310212100020122111100011
4211221132313100200
51130242121412000
630323135134304
72630516523151
oct455136672040
9125306574304
1040424404000
1116164582052
127a02074394
133a72c899a6
141d56ac5928
1510b8dbb2ba
hex9697b7420

40424404000 has 48 divisors (see below), whose sum is σ = 99322770456. Its totient is φ = 16169760000.

The previous prime is 40424403979. The next prime is 40424404003. The reversal of 40424404000 is 40442404.

It can be written as a sum of positive squares in 4 ways, for example, as 18172118416 + 22252285584 = 134804^2 + 149172^2 .

It is not an unprimeable number, because it can be changed into a prime (40424404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5049051 + ... + 5057050.

Almost surely, 240424404000 is an apocalyptic number.

40424404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40424404000 is an abundant number, since it is smaller than the sum of its proper divisors (58898366456).

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

40424404000 is a wasteful number, since it uses less digits than its factorization.

40424404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106126 (or 10106108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40424404000 its reverse (40442404), we get a palindrome (40464846404).

The spelling of 40424404000 in words is "forty billion, four hundred twenty-four million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10106101 20212202 40424404 50530505 80848808 101061010 161697616 202122020 252652525 323395232 404244040 505305050 808488080 1010610100 1263262625 1616976160 2021220200 2526525250 4042440400 5053050500 8084880800 10106101000 20212202000 40424404000