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2000404424000 = 26531063235231
BaseRepresentation
bin11101000111000001011…
…001010010010101000000
321002020101121211201101202
4131013001121102111000
5230233312013032000
64130550105120332
7264344613023543
oct35070131222500
97066347751352
102000404424000
117014041685a4
122838374890a8
13116839294508
146cb6a48685a
153707d766dd5
hex1d1c1652540

2000404424000 has 112 divisors (see below), whose sum is σ = 4958683032576. Its totient is φ = 799405632000.

The previous prime is 2000404423951. The next prime is 2000404424023. The reversal of 2000404424000 is 4244040002.

It is a super-3 number, since 3×20004044240003 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8386385 + ... + 8621615.

It is an arithmetic number, because the mean of its divisors is an integer number (44273955648).

Almost surely, 22000404424000 is an apocalyptic number.

2000404424000 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 2000404424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479341516288).

2000404424000 is an abundant number, since it is smaller than the sum of its proper divisors (2958278608576).

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

2000404424000 is a wasteful number, since it uses less digits than its factorization.

2000404424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236321 (or 236301 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2000404424000 its reverse (4244040002), we get a palindrome (2004648464002).

The spelling of 2000404424000 in words is "two trillion, four hundred four million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1063 1600 2000 2126 4000 4252 5315 8000 8504 10630 17008 21260 26575 34016 42520 53150 68032 85040 106300 132875 170080 212600 235231 265750 340160 425200 470462 531500 850400 940924 1063000 1176155 1700800 1881848 2126000 2352310 3763696 4252000 4704620 5880775 7527392 8504000 9409240 11761550 15054784 18818480 23523100 29403875 37636960 47046200 58807750 75273920 94092400 117615500 188184800 235231000 250050553 376369600 470462000 500101106 940924000 1000202212 1250252765 1881848000 2000404424 2500505530 4000808848 5001011060 6251263825 8001617696 10002022120 12502527650 16003235392 20004044240 25005055300 31256319125 40008088480 50010110600 62512638250 80016176960 100020221200 125025276500 200040442400 250050553000 400080884800 500101106000 1000202212000 2000404424000