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42404220040 = 23571311649511
BaseRepresentation
bin100111011111011111…
…010000110010001000
311001110020000120101011
4213133133100302020
51143320440020130
631251421333304
73030546631450
oct473737206210
9131406016334
1042404220040
1116a90093156
128275107234
133cca1b7c80
1420a3a08d60
151182ae352a
hex9df7d0c88

42404220040 has 64 divisors (see below), whose sum is σ = 117427080960. Its totient is φ = 13420235520.

The previous prime is 42404220031. The next prime is 42404220097. The reversal of 42404220040 is 4002240424.

It is a super-3 number, since 3×424042200403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42404219993 and 42404220020.

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 15 ways as a sum of consecutive naturals, for example, 5821116 + ... + 5828395.

It is an arithmetic number, because the mean of its divisors is an integer number (1834798140).

Almost surely, 242404220040 is an apocalyptic number.

42404220040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404220040 is an abundant number, since it is smaller than the sum of its proper divisors (75022860920).

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

42404220040 is a wasteful number, since it uses less digits than its factorization.

42404220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649542 (or 11649538 counting only the distinct ones).

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

Adding to 42404220040 its reverse (4002240424), we get a palindrome (46406460464).

The spelling of 42404220040 in words is "forty-two billion, four hundred four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 11649511 23299022 46598044 58247555 81546577 93196088 116495110 151443643 163093154 232990220 302887286 326186308 407732885 465980440 605774572 652372616 757218215 815465770 1060105501 1211549144 1514436430 1630931540 2120211002 3028872860 3261863080 4240422004 5300527505 6057745720 8480844008 10601055010 21202110020 42404220040