Search a number
-
+
2134440344040 = 2335148911945603
BaseRepresentation
bin11111000011110110100…
…011101111100111101000
321120001100211001221111120
4133003312203233213220
5234432313212002130
64312314240055240
7310131264400614
oct37036643574750
97501324057446
102134440344040
11753235a25134
122a5803904520
1312637a3561c4
1475443976344
153a7c5a98910
hex1f0f68ef9e8

2134440344040 has 64 divisors (see below), whose sum is σ = 6407621985600. Its totient is φ = 568801784832.

The previous prime is 2134440343963. The next prime is 2134440344041. The reversal of 2134440344040 is 404430444312.

It is a junction number, because it is equal to n+sod(n) for n = 2134440343992 and 2134440344010.

It is not an unprimeable number, because it can be changed into a prime (2134440344041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5794122 + ... + 6151481.

It is an arithmetic number, because the mean of its divisors is an integer number (100119093525).

Almost surely, 22134440344040 is an apocalyptic number.

2134440344040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134440344040 is an abundant number, since it is smaller than the sum of its proper divisors (4273181641560).

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

2134440344040 is a wasteful number, since it uses less digits than its factorization.

2134440344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947106 (or 11947102 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2134440344040 its reverse (404430444312), we get a palindrome (2538870788352).

The spelling of 2134440344040 in words is "two trillion, one hundred thirty-four billion, four hundred forty million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1489 2978 4467 5956 7445 8934 11912 14890 17868 22335 29780 35736 44670 59560 89340 178680 11945603 23891206 35836809 47782412 59728015 71673618 95564824 119456030 143347236 179184045 238912060 286694472 358368090 477824120 716736180 1433472360 17787002867 35574005734 53361008601 71148011468 88935014335 106722017202 142296022936 177870028670 213444034404 266805043005 355740057340 426888068808 533610086010 711480114680 1067220172020 2134440344040