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42324340305104 = 24111347393582989
BaseRepresentation
bin10011001111110011001110…
…10001001110110011010000
312112212011112001021111120022
421213321213101032303100
521021420222104230404
6230003311123403012
711625555415462664
oct1147714721166320
9175764461244508
1042324340305104
1112538719788690
1248b68a7b23468
131a802255c7220
14a6471a9ac8a4
154d5e471ba8be
hex267e6744ecd0

42324340305104 has 80 divisors (see below), whose sum is σ = 98389450172160. Its totient is φ = 17380624750080.

The previous prime is 42324340305061. The next prime is 42324340305193. The reversal of 42324340305104 is 40150304342324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196683959 + ... + 196899030.

It is an arithmetic number, because the mean of its divisors is an integer number (1229868127152).

Almost surely, 242324340305104 is an apocalyptic number.

42324340305104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42324340305104 is an abundant number, since it is smaller than the sum of its proper divisors (56065109867056).

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

42324340305104 is a wasteful number, since it uses less digits than its factorization.

42324340305104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393583068 (or 393583062 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 42324340305104 its reverse (40150304342324), we get a palindrome (82474644647428).

The spelling of 42324340305104 in words is "forty-two trillion, three hundred twenty-four billion, three hundred forty million, three hundred five thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 143 176 188 208 286 376 517 572 611 752 1034 1144 1222 2068 2288 2444 4136 4888 6721 8272 9776 13442 26884 53768 107536 393582989 787165978 1574331956 3148663912 4329412879 5116578857 6297327824 8658825758 10233157714 17317651516 18498400483 20466315428 34635303032 36996800966 40932630856 56282367427 69270606064 73993601932 81865261712 112564734854 147987203864 203482405313 225129469708 240479206279 295974407728 406964810626 450258939416 480958412558 813929621252 900517878832 961916825116 1627859242504 1923833650232 2645271269069 3255718485008 3847667300464 5290542538138 10581085076276 21162170152552 42324340305104