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40204224040 = 23561117114071
BaseRepresentation
bin100101011100010110…
…111100011000101000
310211202220100012012211
4211130112330120220
51124314240132130
630245232014504
72622204160111
oct453426743050
9124686305184
1040204224040
1116061266642
127960391434
133a394883a6
141d3576d208
1510a48c7a2a
hex95c5bc628

40204224040 has 64 divisors (see below), whose sum is σ = 92027502720. Its totient is φ = 15803424000.

The previous prime is 40204224007. The next prime is 40204224041. The reversal of 40204224040 is 4042240204.

It is not an unprimeable number, because it can be changed into a prime (40204224041) 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 15 ways as a sum of consecutive naturals, for example, 2850205 + ... + 2864275.

It is an arithmetic number, because the mean of its divisors is an integer number (1437929730).

Almost surely, 240204224040 is an apocalyptic number.

40204224040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46013751360).

40204224040 is an abundant number, since it is smaller than the sum of its proper divisors (51823278680).

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

40204224040 is a wasteful number, since it uses less digits than its factorization.

40204224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15314 (or 15310 counting only the distinct ones).

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

Adding to 40204224040 its reverse (4042240204), we get a palindrome (44246464244).

The spelling of 40204224040 in words is "forty billion, two hundred four million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1171 1220 2342 2440 4684 5855 9368 11710 14071 23420 28142 46840 56284 70355 71431 112568 140710 142862 281420 285724 357155 562840 571448 714310 858331 1428620 1716662 2857240 3433324 4291655 6866648 8583310 16477141 17166620 32954282 34333240 65908564 82385705 131817128 164771410 329542820 659085640 1005105601 2010211202 4020422404 5025528005 8040844808 10051056010 20102112020 40204224040