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2440401534304 = 251953227333623
BaseRepresentation
bin100011100000110011010…
…001000011110101100000
322122022002210000210222021
4203200303101003311200
5304440420243044204
65105034402151224
7341212265531566
oct43406321036540
98568083023867
102440401534304
11860a72054958
12334b71652514
1314918a1b2a16
148618a6a3a36
1543731776154
hex23833443d60

2440401534304 has 96 divisors (see below), whose sum is σ = 5175549146880. Its totient is φ = 1129169014272.

The previous prime is 2440401534287. The next prime is 2440401534341. The reversal of 2440401534304 is 4034351040442.

It is a self number, because there is not a number n which added to its sum of digits gives 2440401534304.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 7148037 + ... + 7481659.

It is an arithmetic number, because the mean of its divisors is an integer number (53911970280).

Almost surely, 22440401534304 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 2440401534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587774573440).

2440401534304 is an abundant number, since it is smaller than the sum of its proper divisors (2735147612576).

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

2440401534304 is a wasteful number, since it uses less digits than its factorization.

2440401534304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333932 (or 333924 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 2440401534304 its reverse (4034351040442), we get a palindrome (6474752574746).

The spelling of 2440401534304 in words is "two trillion, four hundred forty billion, four hundred one million, five hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 53 76 106 152 212 227 304 424 454 608 848 908 1007 1696 1816 2014 3632 4028 4313 7264 8056 8626 12031 16112 17252 24062 32224 34504 48124 69008 96248 138016 192496 228589 333623 384992 457178 667246 914356 1334492 1828712 2668984 3657424 5337968 6338837 7314848 10675936 12677674 17682019 25355348 35364038 50710696 70728076 75732421 101421392 141456152 151464842 202842784 282912304 302929684 335958361 565824608 605859368 671916722 1211718736 1343833444 1438915999 2423437472 2687666888 2877831998 4013818313 5375333776 5755663996 8027636626 10750667552 11511327992 16055273252 23022655984 32110546504 46045311968 64221093008 76262547947 128442186016 152525095894 305050191788 610100383576 1220200767152 2440401534304