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20444202343000 = 235343950991493
BaseRepresentation
bin1001010011000000010010…
…11010110001101001011000
32200101110001121112120000101
410221200021122301221120
510134424211244434000
6111251534211545144
74210021251443362
oct451401132615130
980343047476011
1020444202343000
116572379274a17
122362281bbb1b4
13b53b594c0907
1450970cb73d32
15256c02159e6a
hex1298096b1a58

20444202343000 has 128 divisors (see below), whose sum is σ = 48043133424000. Its totient is φ = 8142934387200.

The previous prime is 20444202342979. The next prime is 20444202343133. The reversal of 20444202343000 is 34320244402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20444202343000.

It is a congruent number.

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, 223405254 + ... + 223496746.

It is an arithmetic number, because the mean of its divisors is an integer number (375336979875).

Almost surely, 220444202343000 is an apocalyptic number.

20444202343000 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 20444202343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021566712000).

20444202343000 is an abundant number, since it is smaller than the sum of its proper divisors (27598931081000).

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

20444202343000 is a wasteful number, since it uses less digits than its factorization.

20444202343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92462 (or 92448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20444202343000 its reverse (34320244402), we get a palindrome (20478522587402).

The spelling of 20444202343000 in words is "twenty trillion, four hundred forty-four billion, two hundred two million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 439 500 509 878 1000 1018 1756 2036 2195 2545 3512 4072 4390 5090 8780 10180 10975 12725 17560 20360 21950 25450 43900 50900 54875 63625 87800 91493 101800 109750 127250 182986 219500 223451 254500 365972 439000 446902 457465 509000 731944 893804 914930 1117255 1787608 1829860 2234510 2287325 3659720 4469020 4574650 5586275 8938040 9149300 11172550 11436625 18298600 22345100 22873250 27931375 40165427 44690200 45746500 46569937 55862750 80330854 91493000 93139874 111725500 160661708 186279748 200827135 223451000 232849685 321323416 372559496 401654270 465699370 803308540 931398740 1004135675 1164248425 1606617080 1862797480 2008271350 2328496850 4016542700 4656993700 5020678375 5821242125 8033085400 9313987400 10041356750 11642484250 20082713500 20444202343 23284968500 40165427000 40888404686 46569937000 81776809372 102221011715 163553618744 204442023430 408884046860 511105058575 817768093720 1022210117150 2044420234300 2555525292875 4088840468600 5111050585750 10222101171500 20444202343000