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42344276533504 = 28112369732
BaseRepresentation
bin10011010000011000010111…
…00011111010000100000000
312112221001222102210211121221
421220030023203322010000
521022232034243033004
6230020405254124424
711630162434563601
oct1150141343720400
9175831872724557
1042344276533504
111254611a210100
1248ba730650714
131a82081a0428a
14a6568c613da8
154d671253b354
hex26830b8fa100

42344276533504 has 81 divisors (see below), whose sum is σ = 92908119334989. Its totient is φ = 19246877844480.

The previous prime is 42344276533499. The next prime is 42344276533583. The reversal of 42344276533504 is 40533567244324.

The square root of 42344276533504 is 6507248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8094252601600 + 34250023931904 = 2845040^2 + 5852352^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1145257162 + ... + 1145294134.

Almost surely, 242344276533504 is an apocalyptic number.

42344276533504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42344276533504 is the 6507248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344276533504

42344276533504 is an abundant number, since it is smaller than the sum of its proper divisors (50563842801485).

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

42344276533504 is an frugal number, since it uses more digits than its factorization.

42344276533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73984 (or 36986 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 52.

The spelling of 42344276533504 in words is "forty-two trillion, three hundred forty-four billion, two hundred seventy-six million, five hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 36973 73946 147892 295784 406703 591568 813406 1183136 1626812 2366272 3253624 4473733 4732544 6507248 8947466 9465088 13014496 17894932 26028992 35789864 52057984 71579728 104115968 143159456 286318912 572637824 1145275648 1367002729 2734005458 5468010916 10936021832 15037030019 21872043664 30074060038 43744087328 60148120076 87488174656 120296240152 165407330209 174976349312 240592480304 330814660418 349952698624 481184960608 661629320836 962369921216 1323258641672 1924739842432 2646517283344 3849479684864 5293034566688 10586069133376 21172138266752 42344276533504