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2440413423144 = 2332172911960247
BaseRepresentation
bin100011100000110011111…
…110011010011000101000
322122022010121101211101200
4203200303332122120220
5304440431314020034
65105035505044200
7341212501556124
oct43406376323050
98568117354350
102440413423144
11860a78835144
12334b75626660
1314918c7b6238
148618c0ba584
1543732823a99
hex23833f9a628

2440413423144 has 48 divisors (see below), whose sum is σ = 6609838641120. Its totient is φ = 813423680160.

The previous prime is 2440413423137. The next prime is 2440413423157. The reversal of 2440413423144 is 4413243140442.

2440413423144 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 413 + 4 + 231 + 4 + 4 = 666.

It is a super-2 number, since 2×24404134231442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2440413423099 and 2440413423108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264829 + ... + 2225075.

It is an arithmetic number, because the mean of its divisors is an integer number (137704971690).

Almost surely, 22440413423144 is an apocalyptic number.

2440413423144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2440413423144 is an abundant number, since it is smaller than the sum of its proper divisors (4169425217976).

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

2440413423144 is a wasteful number, since it uses less digits than its factorization.

2440413423144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977550 (or 1977543 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2440413423144 its reverse (4413243140442), we get a palindrome (6853656563586).

The spelling of 2440413423144 in words is "two trillion, four hundred forty billion, four hundred thirteen million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17291 34582 51873 69164 103746 138328 155619 207492 311238 414984 622476 1244952 1960247 3920494 5880741 7840988 11761482 15681976 17642223 23522964 35284446 47045928 70568892 141137784 33894630877 67789261754 101683892631 135578523508 203367785262 271157047016 305051677893 406735570524 610103355786 813471141048 1220206711572 2440413423144