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42210311304 = 23372953163469
BaseRepresentation
bin100111010011111011…
…100011110010001000
311000221201010222121010
4213103323203302020
51142421314430204
631220253243520
73023003504040
oct472373436210
9130851128533
1042210311304
11169a06906a7
1282201935a0
133c98c84385
142085d70720
151170a8dd89
hex9d3ee3c88

42210311304 has 128 divisors (see below), whose sum is σ = 127114272000. Its totient is φ = 11424451584.

The previous prime is 42210311303. The next prime is 42210311309. The reversal of 42210311304 is 40311301224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42210311303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 176482 + ... + 339950.

It is an arithmetic number, because the mean of its divisors is an integer number (993080250).

Almost surely, 242210311304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63557136000).

42210311304 is an abundant number, since it is smaller than the sum of its proper divisors (84903960696).

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

42210311304 is a wasteful number, since it uses less digits than its factorization.

42210311304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163567 (or 163563 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 42210311304 its reverse (40311301224), we get a palindrome (82521612528).

The spelling of 42210311304 in words is "forty-two billion, two hundred ten million, three hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 53 56 58 84 87 106 116 159 168 174 203 212 232 318 348 371 406 424 609 636 696 742 812 1113 1218 1272 1484 1537 1624 2226 2436 2968 3074 4452 4611 4872 6148 8904 9222 10759 12296 18444 21518 32277 36888 43036 64554 86072 129108 163469 258216 326938 490407 653876 980814 1144283 1307752 1961628 2288566 3432849 3923256 4577132 4740601 6865698 8663857 9154264 9481202 13731396 14221803 17327714 18962404 25991571 27462792 28443606 33184207 34655428 37924808 51983142 56887212 60646999 66368414 69310856 99552621 103966284 113774424 121293998 132736828 181940997 199105242 207932568 242587996 251251853 265473656 363881994 398210484 485175992 502503706 727763988 753755559 796420968 1005007412 1455527976 1507511118 1758762971 2010014824 3015022236 3517525942 5276288913 6030044472 7035051884 10552577826 14070103768 21105155652 42210311304