Search a number
-
+
400454300324240 = 24512739414793339
BaseRepresentation
bin101101100001101100000100…
…0010100011101000110010000
31221111220001112201110202121122
41123003120020110131012100
5404442020401340333430
63535410055455341412
7150230603605652501
oct13303301024350620
91844801481422548
10400454300324240
11106662795790318
1238ab6886b21868
131425a8a882ca66
1470c613d30aba8
153146b06bb6ee5
hex16c360851d190

400454300324240 has 40 divisors (see below), whose sum is σ = 938387399838720. Its totient is φ = 158920446738816.

The previous prime is 400454300324161. The next prime is 400454300324269. The reversal of 400454300324240 is 42423003454004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 400454300324240.

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 7 ways as a sum of consecutive naturals, for example, 19707386510 + ... + 19707406829.

It is an arithmetic number, because the mean of its divisors is an integer number (23459684995968).

Almost surely, 2400454300324240 is an apocalyptic number.

400454300324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400454300324240 is an abundant number, since it is smaller than the sum of its proper divisors (537933099514480).

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

400454300324240 is a wasteful number, since it uses less digits than its factorization.

400454300324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39414793479 (or 39414793473 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 400454300324240 its reverse (42423003454004), we get a palindrome (442877303778244).

The spelling of 400454300324240 in words is "four hundred trillion, four hundred fifty-four billion, three hundred million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 39414793339 78829586678 157659173356 197073966695 315318346712 394147933390 630636693424 788295866780 1576591733560 3153183467120 5005678754053 10011357508106 20022715016212 25028393770265 40045430032424 50056787540530 80090860064848 100113575081060 200227150162120 400454300324240