Search a number
-
+
2020024420000 = 2554161362617
BaseRepresentation
bin11101011001010010110…
…101101000011010100000
321011010000222022210011021
4131121102311220122200
5231044002222420000
64143553021455224
7265641042160216
oct35312265503240
97133028283137
102020024420000
11709762139a24
122875b2111514
1311864500c1c2
146daac0d0cb6
153782ae6e11a
hex1d652d686a0

2020024420000 has 120 divisors (see below), whose sum is σ = 4972723434756. Its totient is φ = 807495936000.

The previous prime is 2020024419989. The next prime is 2020024420067. The reversal of 2020024420000 is 244200202.

It can be written as a sum of positive squares in 10 ways, for example, as 538808849296 + 1481215570704 = 734036^2 + 1217052^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32228692 + ... + 32291308.

Almost surely, 22020024420000 is an apocalyptic number.

2020024420000 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 2020024420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486361717378).

2020024420000 is an abundant number, since it is smaller than the sum of its proper divisors (2952699014756).

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

2020024420000 is an equidigital number, since it uses as much as digits as its factorization.

2020024420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64260 (or 64237 counting only the distinct ones).

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

Adding to 2020024420000 its reverse (244200202), we get a palindrome (2020268620202).

The spelling of 2020024420000 in words is "two trillion, twenty billion, twenty-four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1613 2000 2500 3226 4000 5000 6452 8065 10000 12904 16130 20000 25808 32260 40325 51616 62617 64520 80650 125234 129040 161300 201625 250468 258080 313085 322600 403250 500936 626170 645200 806500 1001872 1008125 1252340 1290400 1565425 1613000 2003744 2016250 2504680 3130850 3226000 4032500 5009360 6261700 6452000 7827125 8065000 10018720 12523400 15654250 16130000 25046800 31308500 32260000 39135625 50093600 62617000 78271250 101001221 125234000 156542500 202002442 250468000 313085000 404004884 505006105 626170000 808009768 1010012210 1252340000 1616019536 2020024420 2525030525 3232039072 4040048840 5050061050 8080097680 10100122100 12625152625 16160195360 20200244200 25250305250 40400488400 50500610500 63125763125 80800976800 101001221000 126251526250 202002442000 252503052500 404004884000 505006105000 1010012210000 2020024420000