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3422430034443 = 3272313711096101
BaseRepresentation
bin110001110011011000101…
…110011111101000001011
3110010011220000220110021100
4301303120232133220023
5422033114042100233
611140124225112443
7502156002206400
oct61633056375013
913104800813240
103422430034443
1110aa498593a22
12473358a88723
131ba970119374
14bb909dbc2a7
155e05a3b3813
hex31cd8b9fa0b

3422430034443 has 144 divisors (see below), whose sum is σ = 6103050520320. Its totient is φ = 1839475008000.

The previous prime is 3422430034409. The next prime is 3422430034501. The reversal of 3422430034443 is 3444300342243.

3422430034443 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 4 + 300 + 344 + 4 + 3 = 666.

It is not a de Polignac number, because 3422430034443 - 210 = 3422430033419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3422430034398 and 3422430034407.

It is not an unprimeable number, because it can be changed into a prime (3422430034043) 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 143 ways as a sum of consecutive naturals, for example, 560959093 + ... + 560965193.

It is an arithmetic number, because the mean of its divisors is an integer number (42382295280).

Almost surely, 23422430034443 is an apocalyptic number.

3422430034443 is a deficient number, since it is larger than the sum of its proper divisors (2680620485877).

3422430034443 is a wasteful number, since it uses less digits than its factorization.

3422430034443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3422430034443 its reverse (3444300342243), we get a palindrome (6866730376686).

The spelling of 3422430034443 in words is "three trillion, four hundred twenty-two billion, four hundred thirty million, thirty-four thousand, four hundred forty-three".

Divisors: 1 3 7 9 21 31 37 49 63 93 111 147 217 259 279 333 441 651 777 1109 1147 1519 1813 1953 2331 3327 3441 4557 5439 6101 7763 8029 9981 10323 13671 16317 18303 23289 24087 34379 41033 42707 54341 54909 56203 69867 72261 103137 123099 128121 163023 168609 189131 225737 240653 287231 298949 309411 369297 384363 489069 505827 567393 677211 721959 861693 896847 1272023 1323917 1580159 1684571 1702179 2010617 2031633 2165877 2585079 2690541 3816069 3971751 4740477 5053713 6031851 6766009 6997847 8904161 9267419 11061113 11448207 11915253 14221431 15161139 18095553 20298027 20993541 26712483 27802257 33183339 47362063 48984929 60894081 62329127 62980623 80137449 83406771 99550017 142086189 146954787 186987381 209746279 250342333 331534441 342894503 426258567 440864361 560962143 629238837 751026999 994603323 1028683509 1468223953 1752396331 1887716511 2253080997 2983809969 3086050527 4404671859 5257188993 7760612323 10277567671 12266774317 13214015577 15771566979 23281836969 30832703013 36800322951 54324286261 69845510907 92498109039 110400968853 162972858783 380270003827 488918576349 1140810011481 3422430034443