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42324201404430 = 235114110639294029
BaseRepresentation
bin10011001111110010111101…
…11111010111100000001110
312112212011011100220121122220
421213321132333113200032
521021414431024420210
6230003245242320210
711625552111031521
oct1147713677274016
9175764140817586
1042324201404430
1112538658337540
1248b68694b9066
131a802028b338a
14a64706372bb8
154d5e39dcec70
hex267e5efd780e

42324201404430 has 128 divisors (see below), whose sum is σ = 113526253209600. Its totient is φ = 10009183564800.

The previous prime is 42324201404417. The next prime is 42324201404477. The reversal of 42324201404430 is 3440410242324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42324201404391 and 42324201404400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143798656 + ... + 144092684.

It is an arithmetic number, because the mean of its divisors is an integer number (886923853200).

Almost surely, 242324201404430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324201404430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56763126604800).

42324201404430 is an abundant number, since it is smaller than the sum of its proper divisors (71202051805170).

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

42324201404430 is a wasteful number, since it uses less digits than its factorization.

42324201404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304730.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 42324201404430 its reverse (3440410242324), we get a palindrome (45764611646754).

The spelling of 42324201404430 in words is "forty-two trillion, three hundred twenty-four billion, two hundred one million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 10639 13530 21278 31917 53195 63834 106390 117029 159585 234058 294029 319170 351087 436199 585145 588058 702174 872398 882087 1170290 1308597 1470145 1755435 1764174 2180995 2617194 2940290 3234319 3510870 4361990 4410435 4798189 6468638 6542985 8820870 9596378 9702957 12055189 13085970 14394567 16171595 19405914 23990945 24110378 28789134 32343190 36165567 47981890 48514785 60275945 71972835 72331134 97029570 120551890 132607079 143945670 180827835 265214158 361655670 397821237 663035395 795642474 1326070790 1989106185 3128174531 3978212370 6256349062 9384523593 15640872655 18769047186 31281745310 34409919841 46922617965 68819839682 93845235930 103229759523 128255155771 172049599205 206459519046 256510311542 344099198410 384765467313 516148797615 641275778855 769530934626 1032297595230 1282551557710 1410806713481 1923827336565 2821613426962 3847654673130 4232420140443 7054033567405 8464840280886 14108067134810 21162100702215 42324201404430