Search a number
-
+
42430424312202 = 23194723943737577
BaseRepresentation
bin10011010010111000110100…
…10111100110100110001010
312120020022100020001102120020
421221130122113212212022
521030140002110442302
6230124133504041310
711636332316612343
oct1151343227464612
9176208306042506
1042430424312202
1112579707402323
124913373303236
131a8a230706964
14a69901a690ca
154d8aa55d3ebc
hex26971a5e698a

42430424312202 has 128 divisors (see below), whose sum is σ = 91642536345600. Its totient is φ = 13054414818816.

The previous prime is 42430424312119. The next prime is 42430424312203. The reversal of 42430424312202 is 20221342403424.

It is a happy number.

42430424312202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42430424312203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5599893838 + ... + 5599901414.

It is an arithmetic number, because the mean of its divisors is an integer number (715957315200).

Almost surely, 242430424312202 is an apocalyptic number.

42430424312202 is an abundant number, since it is smaller than the sum of its proper divisors (49212112033398).

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

42430424312202 is a wasteful number, since it uses less digits than its factorization.

42430424312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12260.

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

Adding to 42430424312202 its reverse (20221342403424), we get a palindrome (62651766715626).

The spelling of 42430424312202 in words is "forty-two trillion, four hundred thirty billion, four hundred twenty-four million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 19 38 47 57 94 114 141 239 282 478 717 893 1434 1786 2679 4373 4541 5358 7577 8746 9082 11233 13119 13623 15154 22466 22731 26238 27246 33699 45462 67398 83087 143963 166174 205531 213427 249261 287926 356119 411062 426854 431889 498522 616593 640281 712238 863778 1045147 1068357 1233186 1280562 1810903 2090294 2136714 3135441 3621806 3905089 5432709 6270882 6766261 7810178 10865418 11715267 13532522 19857793 20298783 23430534 33134221 34407157 39715586 40597566 49121909 59573379 66268442 68814314 85112441 98243818 99402663 103221471 119146758 147365727 170224882 198805326 206442942 255337323 294731454 510674646 629550199 933316271 1259100398 1557308387 1617136379 1866632542 1888650597 2799948813 3114616774 3234272758 3777301194 4671925161 4851409137 5599897626 7919078819 9343850322 9702818274 15838157638 23757236457 29588859353 47514472914 59177718706 88766578059 150462497561 177533156118 300924995122 372196704493 451387492683 744393408986 902774985366 1116590113479 2233180226958 7071737385367 14143474770734 21215212156101 42430424312202