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42346310300 = 22527974311447
BaseRepresentation
bin100111011100000010…
…010110101010011100
311001022012001110010222
4213130002112222130
51143211123412200
631241552220512
73026244461420
oct473402265234
9131265043128
1042346310300
1116a6042a768
12825983a738
133cbb1c0558
14209a052b80
15117c9a4d85
hex9dc096a9c

42346310300 has 144 divisors (see below), whose sum is σ = 106421188608. Its totient is φ = 14325811200.

The previous prime is 42346310267. The next prime is 42346310309. The reversal of 42346310300 is 301364324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42346310300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42346310309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29264177 + ... + 29265623.

It is an arithmetic number, because the mean of its divisors is an integer number (739036032).

Almost surely, 242346310300 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 42346310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53210594304).

42346310300 is an abundant number, since it is smaller than the sum of its proper divisors (64074878308).

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

42346310300 is a wasteful number, since it uses less digits than its factorization.

42346310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 42346310300 its reverse (301364324), we get a palindrome (42647674624).

The spelling of 42346310300 in words is "forty-two billion, three hundred forty-six million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 431 485 679 700 862 970 1358 1447 1724 1940 2155 2425 2716 2894 3017 3395 4310 4850 5788 6034 6790 7235 8620 9700 10129 10775 12068 13580 14470 15085 16975 20258 21550 28940 30170 33950 36175 40516 41807 43100 50645 60340 67900 72350 75425 83614 101290 140359 144700 150850 167228 202580 209035 253225 280718 292649 301700 418070 506450 561436 585298 623657 701795 836140 982513 1012900 1045175 1170596 1247314 1403590 1463245 1965026 2090350 2494628 2807180 2926490 3118285 3508975 3930052 4180700 4365599 4912565 5852980 6236570 7017950 7316225 8731198 9825130 12473140 14035900 14632450 15591425 17462396 19650260 21827995 24562825 29264900 31182850 43655990 49125650 60494729 62365700 87311980 98251300 109139975 120989458 218279950 241978916 302473645 423463103 436559900 604947290 846926206 1209894580 1512368225 1693852412 2117315515 3024736450 4234631030 6049472900 8469262060 10586577575 21173155150 42346310300