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42234212202 = 2373133150923
BaseRepresentation
bin100111010101010110…
…101110111101101010
311001000101010021110120
4213111112232331222
51142443424242302
631222505424110
73023413611000
oct472526567552
9131011107416
1042234212202
1116a03125806
12822819b036
133ca0c02210
1420891d2a70
151172c109bc
hex9d55aef6a

42234212202 has 128 divisors (see below), whose sum is σ = 109506969600. Its totient is φ = 10779168960.

The previous prime is 42234212161. The next prime is 42234212203. The reversal of 42234212202 is 20221243224.

It is not an unprimeable number, because it can be changed into a prime (42234212203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 803913 + ... + 854835.

It is an arithmetic number, because the mean of its divisors is an integer number (855523200).

Almost surely, 242234212202 is an apocalyptic number.

42234212202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54753484800).

42234212202 is an abundant number, since it is smaller than the sum of its proper divisors (67272757398).

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

42234212202 is a wasteful number, since it uses less digits than its factorization.

42234212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50993 (or 50979 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42234212202 its reverse (20221243224), we get a palindrome (62455455426).

The spelling of 42234212202 in words is "forty-two billion, two hundred thirty-four million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 343 403 434 546 637 651 686 806 1029 1209 1274 1302 1519 1911 2058 2418 2821 3038 3822 4459 4557 5642 8463 8918 9114 10633 13377 16926 19747 21266 26754 31899 39494 50923 59241 63798 101846 118482 138229 152769 276458 305538 356461 414687 661999 712922 829374 1069383 1323998 1578613 1985997 2138766 2495227 3157226 3971994 4633993 4735839 4990454 7485681 9267986 9471678 11050291 13901979 14971362 17466589 20521969 22100582 27803958 32437951 33150873 34933178 41043938 52399767 61565907 64875902 66301746 77352037 97313853 104799534 123131814 143653783 154704074 194627706 227065657 232056111 287307566 430961349 454131314 464112222 541464259 681196971 861922698 1005576481 1082928518 1362393942 1624392777 2011152962 3016729443 3248785554 6033458886 7039035367 14078070734 21117106101 42234212202