Search a number
-
+
42342424133230 = 25134116382359219
BaseRepresentation
bin10011010000010100111010…
…01001100011111001101110
312112220220012100012011011101
421220022131021203321232
521022214241034230410
6230015501402513314
711630065512463654
oct1150123511437156
9175826170164141
1042342424133230
1112545359616391
1248ba2b420583a
131a81b47cc8440
14a655545badd4
154d6654ad1d3a
hex26829d263e6e

42342424133230 has 128 divisors (see below), whose sum is σ = 84701147489280. Its totient is φ = 15140555043840.

The previous prime is 42342424133213. The next prime is 42342424133249. The reversal of 42342424133230 is 3233142424324.

42342424133230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42342424133230.

It is a congruent number.

It is an unprimeable number.

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, 714984561 + ... + 715043779.

It is an arithmetic number, because the mean of its divisors is an integer number (661727714760).

Almost surely, 242342424133230 is an apocalyptic number.

42342424133230 is an abundant number, since it is smaller than the sum of its proper divisors (42358723356050).

42342424133230 is a wasteful number, since it uses less digits than its factorization.

42342424133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60266.

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 42342424133230 its reverse (3233142424324), we get a palindrome (45575566557554).

The spelling of 42342424133230 in words is "forty-two trillion, three hundred forty-two billion, four hundred twenty-four million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 5 10 13 26 41 65 82 130 163 205 326 410 533 815 823 1066 1630 1646 2119 2665 4115 4238 5330 6683 8230 10595 10699 13366 21190 21398 33415 33743 53495 59219 66830 67486 86879 106990 118438 134149 168715 173758 268298 296095 337430 434395 438659 592190 670745 769847 868790 877318 1341490 1539694 1743937 2193295 2427979 3487874 3849235 4386590 4855958 5500109 7698470 8719685 9652697 11000218 12139895 17439370 19305394 24279790 27500545 31563727 48263485 48737237 55001090 63127454 71501417 96526970 97474474 125485061 143002834 157818635 243686185 250970122 315637270 357507085 395760577 487372370 627425305 633584081 715014170 791521154 1254850610 1267168162 1978802885 1998226717 3167920405 3957605770 3996453434 5144887501 6335840810 7944169631 9991133585 10289775002 15888339262 19982267170 25724437505 25976947321 39720848155 51448875010 51953894642 79441696310 103274205203 129884736605 206548410406 259769473210 325710954871 516371026015 651421909742 1032742052030 1628554774355 3257109548710 4234242413323 8468484826646 21171212066615 42342424133230