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2001220001440 = 255112349437253
BaseRepresentation
bin11101000111110010000…
…000011101111010100000
321002022111110111100022121
4131013302000131322200
5230241444310021230
64131203041514024
7264404045226412
oct35076200357240
97068443440277
102001220001440
11701792578a40
12283a24642914
1311693923c80a
146cc069089b2
15370ca16977a
hex1d1f201dea0

2001220001440 has 96 divisors (see below), whose sum is σ = 5381937219456. Its totient is φ = 696076508160.

The previous prime is 2001220001437. The next prime is 2001220001497. The reversal of 2001220001440 is 441000221002.

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 15 ways as a sum of consecutive naturals, for example, 24678147 + ... + 24759106.

It is an arithmetic number, because the mean of its divisors is an integer number (56061846036).

Almost surely, 22001220001440 is an apocalyptic number.

2001220001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001220001440 is an abundant number, since it is smaller than the sum of its proper divisors (3380717218016).

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

2001220001440 is a wasteful number, since it uses less digits than its factorization.

2001220001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49437302 (or 49437294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2001220001440 its reverse (441000221002), we get a palindrome (2442220222442).

The spelling of 2001220001440 in words is "two trillion, one billion, two hundred twenty million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 40480 49437253 98874506 197749012 247186265 395498024 494372530 543809783 790996048 988745060 1087619566 1137056819 1581992096 1977490120 2175239132 2274113638 2719048915 3954980240 4350478264 4548227276 5438097830 5685284095 7909960480 8700956528 9096454552 10876195660 11370568190 12507625009 17401913056 18192909104 21752391320 22741136380 25015250018 36385818208 43504782640 45482272760 50030500036 62538125045 87009565280 90964545520 100061000072 125076250090 181929091040 200122000144 250152500180 400244000288 500305000360 1000610000720 2001220001440