Search a number
-
+
42324022320 = 24351574992251
BaseRepresentation
bin100111011010101101…
…010101010000110000
311001020122010002210020
4213122231111100300
51143134422203240
631235434403440
73025554153036
oct473255252060
9131218102706
1042324022320
1116a49897448
128252290580
133cb66b88b8
1420970d0556
15117aa510d0
hex9dab55430

42324022320 has 160 divisors (see below), whose sum is σ = 132363552000. Its totient is φ = 11187072000.

The previous prime is 42324022313. The next prime is 42324022373. The reversal of 42324022320 is 2322042324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18801195 + ... + 18803445.

It is an arithmetic number, because the mean of its divisors is an integer number (827272200).

Almost surely, 242324022320 is an apocalyptic number.

42324022320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66181776000).

42324022320 is an abundant number, since it is smaller than the sum of its proper divisors (90039529680).

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

42324022320 is a wasteful number, since it uses less digits than its factorization.

42324022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42324022320 its reverse (2322042324), we get a palindrome (44646064644).

The spelling of 42324022320 in words is "forty-two billion, three hundred twenty-four million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 499 628 785 942 998 1256 1497 1570 1884 1996 2251 2355 2495 2512 2994 3140 3768 3992 4502 4710 4990 5988 6280 6753 7485 7536 7984 9004 9420 9980 11255 11976 12560 13506 14970 18008 18840 19960 22510 23952 27012 29940 33765 36016 37680 39920 45020 54024 59880 67530 78343 90040 108048 119760 135060 156686 180080 235029 270120 313372 353407 391715 470058 540240 626744 706814 783430 940116 1060221 1123249 1175145 1253488 1413628 1566860 1767035 1880232 2120442 2246498 2350290 2827256 3133720 3369747 3534070 3760464 4240884 4492996 4700580 5301105 5616245 5654512 6267440 6739494 7068140 8481768 8985992 9401160 10602210 11232490 13478988 14136280 16848735 16963536 17971984 18802320 21204420 22464980 26957976 28272560 33697470 42408840 44929960 53915952 67394940 84817680 89859920 134789880 176350093 269579760 352700186 529050279 705400372 881750465 1058100558 1410800744 1763500930 2116201116 2645251395 2821601488 3527001860 4232402232 5290502790 7054003720 8464804464 10581005580 14108007440 21162011160 42324022320