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42433348188 = 223711214092963
BaseRepresentation
bin100111100001001110…
…011000001001011100
311001112020211102200110
4213201032120021130
51143400414120223
631254341530020
73031352336250
oct474116301134
9131466742613
1042433348188
1116aa5578600
128282a13910
13400324616a
1420a782c260
151185448d93
hex9e139825c

42433348188 has 144 divisors (see below), whose sum is σ = 124507918080. Its totient is φ = 11010109440.

The previous prime is 42433348159. The next prime is 42433348189. The reversal of 42433348188 is 88184333424.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433348189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14319595 + ... + 14322557.

It is an arithmetic number, because the mean of its divisors is an integer number (864638320).

Almost surely, 242433348188 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 42433348188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62253959040).

42433348188 is an abundant number, since it is smaller than the sum of its proper divisors (82074569892).

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

42433348188 is a wasteful number, since it uses less digits than its factorization.

42433348188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4395 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 42433348188 in words is "forty-two billion, four hundred thirty-three million, three hundred forty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1409 1452 1694 2541 2818 2963 3388 4227 5082 5636 5926 8454 8889 9863 10164 11852 15499 16908 17778 19726 20741 29589 30998 32593 35556 39452 41482 46497 59178 61996 62223 65186 82964 92994 97779 108493 118356 124446 130372 170489 185988 195558 216986 228151 248892 325479 340978 358523 391116 433972 456302 511467 650958 681956 684453 717046 912604 1022934 1075569 1193423 1301916 1368906 1434092 2045868 2151138 2386846 2509661 2737812 3580269 4174867 4302276 4773692 5019322 7160538 7528983 8349734 10038644 12524601 14321076 15057966 16699468 25049202 29224069 30115932 45923537 50098404 58448138 87672207 91847074 116896276 137770611 175344414 183694148 275541222 321464759 350688828 505158907 551082444 642929518 964394277 1010317814 1285859036 1515476721 1928788554 2020635628 3030953442 3536112349 3857577108 6061906884 7072224698 10608337047 14144449396 21216674094 42433348188