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2324244313000 = 235331131572333
BaseRepresentation
bin100001110100100111110…
…000011011001110101000
322020012021120201120211201
4201310213300123032220
5301040023021004000
64535424301533544
7326630640455611
oct41644760331650
98205246646751
102324244313000
1181678535a2a5
123165548742b4
1313b2381902cc
14806cb866c08
15406d3d3b96a
hex21d27c1b3a8

2324244313000 has 128 divisors (see below), whose sum is σ = 5657040829440. Its totient is φ = 892837920000.

The previous prime is 2324244312997. The next prime is 2324244313033. The reversal of 2324244313000 is 3134424232.

It is a super-2 number, since 2×23242443130002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2324244313000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3774834 + ... + 4347166.

It is an arithmetic number, because the mean of its divisors is an integer number (44195631480).

Almost surely, 22324244313000 is an apocalyptic number.

2324244313000 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 2324244313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828520414720).

2324244313000 is an abundant number, since it is smaller than the sum of its proper divisors (3332796516440).

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

2324244313000 is a wasteful number, since it uses less digits than its factorization.

2324244313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572516 (or 572502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2324244313000 its reverse (3134424232), we get a palindrome (2327378737232).

It can be divided in two parts, 232424 and 4313000, that added together give a square (4545424 = 21322).

The spelling of 2324244313000 in words is "two trillion, three hundred twenty-four billion, two hundred forty-four million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 131 155 200 248 250 262 310 500 524 620 655 775 1000 1048 1240 1310 1550 2620 3100 3275 3875 4061 5240 6200 6550 7750 8122 13100 15500 16244 16375 20305 26200 31000 32488 32750 40610 65500 81220 101525 131000 162440 203050 406100 507625 572333 812200 1015250 1144666 2030500 2289332 2861665 4061000 4578664 5723330 11446660 14308325 17742323 22893320 28616650 35484646 57233300 70969292 71541625 74975623 88711615 114466600 141938584 143083250 149951246 177423230 286166500 299902492 354846460 374878115 443558075 572333000 599804984 709692920 749756230 887116150 1499512460 1774232300 1874390575 2217790375 2324244313 2999024920 3548464600 3748781150 4435580750 4648488626 7497562300 8871161500 9296977252 9371952875 11621221565 14995124600 17742323000 18593954504 18743905750 23242443130 37487811500 46484886260 58106107825 74975623000 92969772520 116212215650 232424431300 290530539125 464848862600 581061078250 1162122156500 2324244313000