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2003404330424 = 23789498780603
BaseRepresentation
bin11101001001110100001…
…101000001010110111000
321002112010200200202101002
4131021310031001112320
5230310433002033144
64132203511344132
7264512140556450
oct35116415012670
97075120622332
102003404330424
11702703574702
12284334082048
13116bc6945283
146cd72a66d60
15371a6cdd14e
hex1d2743415b8

2003404330424 has 64 divisors (see below), whose sum is σ = 4342169721600. Its totient is φ = 848773880064.

The previous prime is 2003404330423. The next prime is 2003404330429. The reversal of 2003404330424 is 4240334043002.

It is a super-2 number, since 2×20034043304242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003404330423) 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, 24814907 + ... + 24895509.

It is an arithmetic number, because the mean of its divisors is an integer number (67846401900).

Almost surely, 22003404330424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003404330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171084860800).

2003404330424 is an abundant number, since it is smaller than the sum of its proper divisors (2338765391176).

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

2003404330424 is a wasteful number, since it uses less digits than its factorization.

2003404330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85692 (or 85688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2003404330424 its reverse (4240334043002), we get a palindrome (6243738373426).

The spelling of 2003404330424 in words is "two trillion, three billion, four hundred four million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 2492 4984 4987 9974 19948 34909 39896 69818 80603 139636 161206 279272 322412 443843 564221 644824 887686 1128442 1775372 2256884 3106901 3550744 4513768 6213802 7173667 12427604 14347334 24855208 28694668 50215669 57389336 100431338 200862676 401725352 401967161 803934322 1607868644 2813770127 3215737288 5627540254 11255080508 22510161016 35775077329 71550154658 143100309316 250425541303 286200618632 500851082606 1001702165212 2003404330424