Search a number
-
+
42320340300 = 223527159712619
BaseRepresentation
bin100111011010011111…
…010010010101001100
311001020101012001000010
4213122133102111030
51143133001342200
631235223433220
73025510646220
oct473237222514
9131211161003
1042320340300
1116a47802057
128250bb5810
133cb59c99a4
142096812780
15117a575150
hex9da7d254c

42320340300 has 144 divisors (see below), whose sum is σ = 140037981440. Its totient is φ = 9666397440.

The previous prime is 42320340287. The next prime is 42320340313. The reversal of 42320340300 is 304302324.

It is an interprime number because it is at equal distance from previous prime (42320340287) and next prime (42320340313).

It is a super-2 number, since 2×423203403002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3347391 + ... + 3360009.

Almost surely, 242320340300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42320340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70018990720).

42320340300 is an abundant number, since it is smaller than the sum of its proper divisors (97717641140).

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

42320340300 is a wasteful number, since it uses less digits than its factorization.

42320340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14240 (or 14233 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 42320340300 its reverse (304302324), we get a palindrome (42624642624).

The spelling of 42320340300 in words is "forty-two billion, three hundred twenty million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1597 2100 3194 4791 6388 7985 9582 11179 12619 15970 19164 22358 23955 25238 31940 33537 37857 39925 44716 47910 50476 55895 63095 67074 75714 79850 88333 95820 111790 119775 126190 134148 151428 159700 167685 176666 189285 223580 239550 252380 264999 279475 315475 335370 353332 378570 441665 479100 529998 558950 630950 670740 757140 838425 883330 946425 1059996 1117900 1261900 1324995 1676850 1766660 1892850 2208325 2649990 3353700 3785700 4416650 5299980 6624975 8833300 13249950 20152543 26499900 40305086 60457629 80610172 100762715 120915258 141067801 201525430 241830516 282135602 302288145 403050860 423203403 503813575 564271204 604576290 705339005 846406806 1007627150 1209152580 1410678010 1511440725 1692813612 2015254300 2116017015 2821356020 3022881450 3526695025 4232034030 6045762900 7053390050 8464068060 10580085075 14106780100 21160170150 42320340300