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10040444040 = 2335117606397
BaseRepresentation
bin10010101100111010…
…10000010010001000
3221220201212101220210
421112131100102020
5131030323202130
64340145321120
7503545236414
oct112635202210
927821771823
1010040444040
114292629240
121b426361a0
13c401ab163
146b368dd44
153db6eb5b0
hex256750488

10040444040 has 64 divisors (see below), whose sum is σ = 32859639360. Its totient is φ = 2434046720.

The previous prime is 10040444033. The next prime is 10040444093. The reversal of 10040444040 is 4044404001.

It is a junction number, because it is equal to n+sod(n) for n = 10040443998 and 10040444016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3801879 + ... + 3804518.

It is an arithmetic number, because the mean of its divisors is an integer number (513431865).

Almost surely, 210040444040 is an apocalyptic number.

10040444040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040444040 is an abundant number, since it is smaller than the sum of its proper divisors (22819195320).

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

10040444040 is a wasteful number, since it uses less digits than its factorization.

10040444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606422 (or 7606418 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10040444040 its reverse (4044404001), we get a palindrome (14084848041).

The spelling of 10040444040 in words is "ten billion, forty million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7606397 15212794 22819191 30425588 38031985 45638382 60851176 76063970 83670367 91276764 114095955 152127940 167340734 182553528 228191910 251011101 304255880 334681468 418351835 456383820 502022202 669362936 836703670 912767640 1004044404 1255055505 1673407340 2008088808 2510111010 3346814680 5020222020 10040444040