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2043314344000 = 2653376903089
BaseRepresentation
bin11101101110111111000…
…001101001000001000000
321020100011002102111201001
4131232333001221001000
5231434201433002000
64202404033421344
7300424143232246
oct35567701510100
97210132374631
102043314344000
117186237505a6
12290011a0a854
1311a8b717bb17
1470c7b2cc796
153824094c46a
hex1dbbf069040

2043314344000 has 112 divisors (see below), whose sum is σ = 5197032725040. Its totient is φ = 795235737600.

The previous prime is 2043314343997. The next prime is 2043314344003. The reversal of 2043314344000 is 4434133402.

It is an interprime number because it is at equal distance from previous prime (2043314343997) and next prime (2043314344003).

It can be written as a sum of positive squares in 8 ways, for example, as 80715082816 + 1962599261184 = 284104^2 + 1400928^2 .

It is a super-3 number, since 3×20433143440003 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2043314344000.

It is not an unprimeable number, because it can be changed into a prime (2043314344003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3155545 + ... + 3747544.

Almost surely, 22043314344000 is an apocalyptic number.

2043314344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2043314344000 is an abundant number, since it is smaller than the sum of its proper divisors (3153718381040).

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

2043314344000 is an equidigital number, since it uses as much as digits as its factorization.

2043314344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903153 (or 6903133 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2043314344000 its reverse (4434133402), we get a palindrome (2047748477402).

The spelling of 2043314344000 in words is "two trillion, forty-three billion, three hundred fourteen million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 740 800 925 1000 1184 1480 1600 1850 2000 2368 2960 3700 4000 4625 5920 7400 8000 9250 11840 14800 18500 29600 37000 59200 74000 148000 296000 6903089 13806178 27612356 34515445 55224712 69030890 110449424 138061780 172577225 220898848 255414293 276123560 345154450 441797696 510828586 552247120 690308900 862886125 1021657172 1104494240 1277071465 1380617800 1725772250 2043314344 2208988480 2554142930 2761235600 3451544500 4086628688 5108285860 5522471200 6385357325 6903089000 8173257376 10216571720 11044942400 12770714650 13806178000 16346514752 20433143440 25541429300 27612356000 31926786625 40866286880 51082858600 55224712000 63853573250 81732573760 102165717200 127707146500 204331434400 255414293000 408662868800 510828586000 1021657172000 2043314344000