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2003514473640 = 233553787400277
BaseRepresentation
bin11101001001111010110…
…001001011110010101000
321002112102100221121110110
4131021322301023302220
5230311144201124030
64132222444214320
7264514646015631
oct35117261136250
97075370847413
102003514473640
1170275a763959
12284364b3a3a0
13116c136ca884
146cd83538888
15371b17e81b0
hex1d27ac4bca8

2003514473640 has 128 divisors (see below), whose sum is σ = 6131746604160. Its totient is φ = 523522581504.

The previous prime is 2003514473603. The next prime is 2003514473647. The reversal of 2003514473640 is 463744153002.

It is not an unprimeable number, because it can be changed into a prime (2003514473647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4805182 + ... + 5205458.

It is an arithmetic number, because the mean of its divisors is an integer number (47904270345).

Almost surely, 22003514473640 is an apocalyptic number.

2003514473640 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 2003514473640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065873302080).

2003514473640 is an abundant number, since it is smaller than the sum of its proper divisors (4128232130520).

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

2003514473640 is a wasteful number, since it uses less digits than its factorization.

2003514473640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401131 (or 401127 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 2003514473640 in words is "two trillion, three billion, five hundred fourteen million, four hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 787 795 1060 1272 1574 1590 2120 2361 3148 3180 3935 4722 6296 6360 7870 9444 11805 15740 18888 23610 31480 41711 47220 83422 94440 125133 166844 208555 250266 333688 400277 417110 500532 625665 800554 834220 1001064 1200831 1251330 1601108 1668440 2001385 2401662 2502660 3202216 4002770 4803324 5005320 6004155 8005540 9606648 12008310 16011080 21214681 24016620 42429362 48033240 63644043 84858724 106073405 127288086 169717448 212146810 254576172 315017999 318220215 424293620 509152344 630035998 636440430 848587240 945053997 1260071996 1272880860 1575089995 1890107994 2520143992 2545761720 3150179990 3780215988 4725269985 6300359980 7560431976 9450539970 12600719960 16695953947 18901079940 33391907894 37802159880 50087861841 66783815788 83479769735 100175723682 133567631576 166959539470 200351447364 250439309205 333919078940 400702894728 500878618410 667838157880 1001757236820 2003514473640