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2003323413040 = 245731073479239
BaseRepresentation
bin11101001001101111011…
…000010110001000110000
321002111221001102201120221
4131021233120112020300
5230310301243204130
64132151501142424
7264510136022635
oct35115730261060
97074831381527
102003323413040
11702671927234
12284310b5aa14
13116bb2c53471
146cd6600218c
153719eb5787a
hex1d26f616230

2003323413040 has 160 divisors (see below), whose sum is σ = 4779909066240. Its totient is φ = 780624893952.

The previous prime is 2003323413031. The next prime is 2003323413043. The reversal of 2003323413040 is 403143233002.

It is a junction number, because it is equal to n+sod(n) for n = 2003323412996 and 2003323413014.

It is not an unprimeable number, because it can be changed into a prime (2003323413043) 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 31 ways as a sum of consecutive naturals, for example, 216828741 + ... + 216837979.

It is an arithmetic number, because the mean of its divisors is an integer number (29874431664).

Almost surely, 22003323413040 is an apocalyptic number.

2003323413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003323413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389954533120).

2003323413040 is an abundant number, since it is smaller than the sum of its proper divisors (2776585653200).

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

2003323413040 is a wasteful number, since it uses less digits than its factorization.

2003323413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 2003323413040 its reverse (403143233002), we get a palindrome (2406466646042).

The spelling of 2003323413040 in words is "two trillion, three billion, three hundred twenty-three million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 107 146 214 292 347 365 428 535 584 694 730 856 1070 1168 1388 1460 1712 1735 2140 2776 2920 3470 4280 5552 5840 6940 7811 8560 9239 13880 15622 18478 25331 27760 31244 36956 37129 39055 46195 50662 62488 73912 74258 78110 92390 101324 124976 126655 147824 148516 156220 184780 185645 202648 253310 297032 312440 369560 371290 405296 506620 594064 624880 674447 739120 742580 988573 1013240 1348894 1485160 1977146 2026480 2697788 2710417 2970320 3205933 3372235 3954292 4942865 5395576 5420834 6411866 6744470 7908584 9885730 10791152 10841668 12823732 13488940 13552085 15817168 16029665 19771460 21683336 25647464 26977880 27104170 32059330 39542920 43366672 51294928 53955760 54208340 64118660 72165829 79085840 108416680 128237320 144331658 216833360 234033109 256474640 288663316 343034831 360829145 468066218 577326632 686069662 721658290 936132436 1154653264 1170165545 1372139324 1443316580 1715174155 1872264872 2340331090 2744278648 2886633160 3430348310 3744529744 4680662180 5488557296 5773266320 6860696620 9361324360 13721393240 18722648720 25041542663 27442786480 50083085326 100166170652 125207713315 200332341304 250415426630 400664682608 500830853260 1001661706520 2003323413040