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342145145430 = 2325112279111257
BaseRepresentation
bin1001111101010010111…
…00001001101001010110
31012201010200110020120100
410332221130021221112
521101203124123210
6421102421514530
733501450515424
oct4765134115126
91181120406510
10342145145430
11122115018900
1256387872a46
132635844789a
14127ba58c114
158d776795c0
hex4fa9709a56

342145145430 has 144 divisors (see below), whose sum is σ = 978237160992. Its totient is φ = 82907193600.

The previous prime is 342145145423. The next prime is 342145145443. The reversal of 342145145430 is 34541541243.

342145145430 is a `hidden beast` number, since 3 + 4 + 214 + 5 + 1 + 4 + 5 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30388362 + ... + 30399618.

It is an arithmetic number, because the mean of its divisors is an integer number (6793313618).

Almost surely, 2342145145430 is an apocalyptic number.

342145145430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342145145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489118580496).

342145145430 is an abundant number, since it is smaller than the sum of its proper divisors (636092015562).

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

342145145430 is a wasteful number, since it uses less digits than its factorization.

342145145430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14083 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 342145145430 its reverse (34541541243), we get a palindrome (376686686673).

The spelling of 342145145430 in words is "three hundred forty-two billion, one hundred forty-five million, one hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 2791 3630 5445 5582 8373 10890 11257 13955 16746 22514 25119 27910 30701 33771 41865 50238 56285 61402 67542 83730 92103 101313 112570 123827 125595 153505 168855 184206 202626 247654 251190 276309 307010 337710 337711 371481 460515 506565 552618 619135 675422 742962 921030 1013130 1013133 1114443 1238270 1362097 1381545 1688555 1857405 2026266 2228886 2724194 2763090 3039399 3377110 3714810 4086291 5065665 5572215 6078798 6810485 8172582 10131330 11144430 12258873 13620970 15196995 20431455 24517746 30393990 31418287 40862910 61294365 62836574 94254861 122588730 157091435 188509722 282764583 314182870 345601157 471274305 565529166 691202314 942548610 1036803471 1413822915 1728005785 2073606942 2827645830 3110410413 3456011570 3801612727 5184017355 6220820826 7603225454 10368034710 11404838181 15552052065 19008063635 22809676362 31104104130 34214514543 38016127270 57024190905 68429029086 114048381810 171072572715 342145145430