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24044002000 = 245313191771
BaseRepresentation
bin10110011001001000…
…100101101011010000
32022001200000212002121
4112121020211223100
5343220231031000
615013510224024
71510555434124
oct263110455320
968050025077
1024044002000
11a219237637
1247b0355014
132362464625
141241411584
1595acd3b1a
hex599225ad0

24044002000 has 80 divisors (see below), whose sum is σ = 58582839744. Its totient is φ = 9544080000.

The previous prime is 24044001997. The next prime is 24044002033. The reversal of 24044002000 is 20044042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×240440020002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 216115 + ... + 307885.

Almost surely, 224044002000 is an apocalyptic number.

24044002000 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 24044002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29291419872).

24044002000 is an abundant number, since it is smaller than the sum of its proper divisors (34538837744).

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

24044002000 is a wasteful number, since it uses less digits than its factorization.

24044002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91925 (or 91909 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 24044002000 its reverse (20044042), we get a palindrome (24064046042).

The spelling of 24044002000 in words is "twenty-four billion, forty-four million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 5240 6550 10480 13100 16375 26200 32750 52400 65500 91771 131000 183542 262000 367084 458855 734168 917710 1468336 1835420 2294275 3670840 4588550 7341680 9177100 11471375 12022001 18354200 22942750 24044002 36708400 45885500 48088004 60110005 91771000 96176008 120220010 183542000 192352016 240440020 300550025 480880040 601100050 961760080 1202200100 1502750125 2404400200 3005500250 4808800400 6011000500 12022001000 24044002000