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244021000000 = 2656244021
BaseRepresentation
bin1110001101000011001…
…0001111011101000000
3212022212020120012000211
43203100302033131000
512444223334000000
6304033544523504
723426032163611
oct3432062173500
9768766505024
10244021000000
1194541547038
123b362180594
131a01b46677b
14bb4c70bc08
156532e7d7ba
hex38d0c8f740

244021000000 has 98 divisors (see below), whose sum is σ = 605281197614. Its totient is φ = 97608000000.

The previous prime is 244020999997. The next prime is 244021000079. The reversal of 244021000000 is 120442.

It can be written as a sum of positive squares in 7 ways, for example, as 232655734336 + 11365265664 = 482344^2 + 106608^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 877990 + ... + 1122010.

Almost surely, 2244021000000 is an apocalyptic number.

244021000000 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 244021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302640598807).

244021000000 is an abundant number, since it is smaller than the sum of its proper divisors (361260197614).

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

244021000000 is an frugal number, since it uses more digits than its factorization.

244021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244063 (or 244028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 244021000000 its reverse (120442), we get a palindrome (244021120442).

The spelling of 244021000000 in words is "two hundred forty-four billion, twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 244021 250000 488042 500000 976084 1000000 1220105 1952168 2440210 3904336 4880420 6100525 7808672 9760840 12201050 15617344 19521680 24402100 30502625 39043360 48804200 61005250 78086720 97608400 122010500 152513125 195216800 244021000 305026250 390433600 488042000 610052500 762565625 976084000 1220105000 1525131250 1952168000 2440210000 3050262500 3812828125 4880420000 6100525000 7625656250 9760840000 12201050000 15251312500 24402100000 30502625000 48804200000 61005250000 122010500000 244021000000