Search a number
-
+
42303402240 = 2835111001501
BaseRepresentation
bin100111011001011110…
…101011000100000000
311001012012022111100120
4213121132223010000
51143114132332430
631233420420240
73025213662141
oct473136530400
9131165274316
1042303402240
1116a39193260
1282473a7680
133cb2349178
142094483ac8
151178d2b610
hex9d97ab100

42303402240 has 144 divisors (see below), whose sum is σ = 147389046336. Its totient is φ = 10255360000.

The previous prime is 42303402227. The next prime is 42303402241. The reversal of 42303402240 is 4220430324.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42303402240.

It is not an unprimeable number, because it can be changed into a prime (42303402241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458511 + ... + 542990.

It is an arithmetic number, because the mean of its divisors is an integer number (1023535044).

Almost surely, 242303402240 is an apocalyptic number.

42303402240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42303402240 is an abundant number, since it is smaller than the sum of its proper divisors (105085644096).

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

42303402240 is a wasteful number, since it uses less digits than its factorization.

42303402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001536 (or 1001522 counting only the distinct ones).

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

Adding to 42303402240 its reverse (4220430324), we get a palindrome (46523832564).

The spelling of 42303402240 in words is "forty-two billion, three hundred three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 1001501 2003002 3004503 4006004 5007505 6009006 8012008 10015010 11016511 12018012 15022515 16024016 20030020 22033022 24036024 30045030 32048032 33049533 40060040 44066044 48072048 55082555 60090060 64096064 66099066 80120080 88132088 96144096 110165110 120180120 128192128 132198132 160240160 165247665 176264176 192288192 220330220 240360240 256384256 264396264 320480320 330495330 352528352 384576384 440660440 480720480 528792528 640960640 660990660 705056704 769152768 881320880 961440960 1057585056 1281921280 1321981320 1410113408 1762641760 1922881920 2115170112 2643962640 2820226816 3525283520 3845763840 4230340224 5287925280 7050567040 8460680448 10575850560 14101134080 21151701120 42303402240