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2004240321200 = 2452132511535581
BaseRepresentation
bin11101001010100110000…
…010000100101010110000
321002121021221202111010102
4131022212002010222300
5230314141010234300
64132422453451532
7264541641432365
oct35124602045260
97077257674112
102004240321200
11702aa2457977
12284528040ba8
13116ccabb9b80
146d011ac046c
15372053c40d5
hex1d2a6084ab0

2004240321200 has 120 divisors (see below), whose sum is σ = 5206249497456. Its totient is φ = 737078400000.

The previous prime is 2004240321179. The next prime is 2004240321217. The reversal of 2004240321200 is 21230424002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537410 + ... + 2072990.

Almost surely, 22004240321200 is an apocalyptic number.

2004240321200 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 2004240321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603124748728).

2004240321200 is an abundant number, since it is smaller than the sum of its proper divisors (3202009176256).

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

2004240321200 is a wasteful number, since it uses less digits than its factorization.

2004240321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535863 (or 1535852 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2004240321200 its reverse (21230424002), we get a palindrome (2025470745202).

The spelling of 2004240321200 in words is "two trillion, four billion, two hundred forty million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 251 260 325 400 502 520 650 1004 1040 1255 1300 2008 2510 2600 3263 4016 5020 5200 6275 6526 10040 12550 13052 16315 20080 25100 26104 32630 50200 52208 65260 81575 100400 130520 163150 261040 326300 652600 1305200 1535581 3071162 6142324 7677905 12284648 15355810 19962553 24569296 30711620 38389525 39925106 61423240 76779050 79850212 99812765 122846480 153558100 159700424 199625530 307116200 319400848 385430831 399251060 499063825 614232400 770861662 798502120 998127650 1541723324 1597004240 1927154155 1996255300 3083446648 3854308310 3992510600 5010600803 6166893296 7708616620 7985021200 9635770775 10021201606 15417233240 19271541550 20042403212 25053004015 30834466480 38543083100 40084806424 50106008030 77086166200 80169612848 100212016060 125265020075 154172332400 200424032120 250530040150 400848064240 501060080300 1002120160600 2004240321200