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2440042624305 = 3251113379183003
BaseRepresentation
bin100011100000011101110…
…111111011010100110001
322122021011202200022000100
4203200131313323110301
5304434201402434210
65104535021343013
7341200350045006
oct43403567732461
98567152608010
102440042624305
118608a84a4520
12334a91407a69
13149130a2a140
1486154b578ad
154370eecc5c0
hex2381ddfb531

2440042624305 has 48 divisors (see below), whose sum is σ = 4968814084416. Its totient is φ = 1092047045760.

The previous prime is 2440042624303. The next prime is 2440042624321. The reversal of 2440042624305 is 5034262400442.

2440042624305 is a `hidden beast` number, since 2 + 4 + 400 + 4 + 2 + 6 + 243 + 0 + 5 = 666.

It is not a de Polignac number, because 2440042624305 - 21 = 2440042624303 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2440042624305.

It is not an unprimeable number, because it can be changed into a prime (2440042624303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189585067 + ... + 189597936.

It is an arithmetic number, because the mean of its divisors is an integer number (103516960092).

Almost surely, 22440042624305 is an apocalyptic number.

It is an amenable number.

2440042624305 is an abundant number, since it is smaller than the sum of its proper divisors (2528771460111).

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

2440042624305 is a wasteful number, since it uses less digits than its factorization.

2440042624305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379183038 (or 379183035 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 2440042624305 in words is "two trillion, four hundred forty billion, forty-two million, six hundred twenty-four thousand, three hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 379183003 1137549009 1895915015 3412647027 4171013033 4929379039 5687745045 12513039099 14788137117 17063235135 20855065165 24646895195 37539117297 44364411351 54223169429 62565195495 73940685585 162669508287 187695586485 221822056755 271115847145 488008524861 813347541435 2440042624305