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42334210224 = 2433731342409
BaseRepresentation
bin100111011011010100…
…001100100010110000
311001021100021200222000
4213123110030202300
51143200024211344
631240441014000
73026036564265
oct473324144260
9131240250860
1042334210224
1116a546157a9
128255784300
133cb8844b47
1420985c326c
15117b8b4a69
hex9db50c8b0

42334210224 has 80 divisors (see below), whose sum is σ = 123179541600. Its totient is φ = 13918086144.

The previous prime is 42334210223. The next prime is 42334210253. The reversal of 42334210224 is 42201243324.

42334210224 is a `hidden beast` number, since 4 + 233 + 421 + 0 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×423342102242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42334210223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639669 + ... + 702740.

It is an arithmetic number, because the mean of its divisors is an integer number (1539744270).

Almost surely, 242334210224 is an apocalyptic number.

It is an amenable number.

42334210224 is an abundant number, since it is smaller than the sum of its proper divisors (80845331376).

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

42334210224 is a wasteful number, since it uses less digits than its factorization.

42334210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342499 (or 1342487 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42334210224 its reverse (42201243324), we get a palindrome (84535453548).

The spelling of 42334210224 in words is "forty-two billion, three hundred thirty-four million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 1342409 2684818 4027227 5369636 8054454 10739272 12081681 16108908 21478544 24163362 32217816 36245043 48326724 64435632 72490086 96653448 97995857 144980172 193306896 195991714 289960344 293987571 391983428 579920688 587975142 783966856 881962713 1175950284 1567933712 1763925426 2351900568 2645888139 3527850852 4703801136 5291776278 7055701704 10583552556 14111403408 21167105112 42334210224