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1000144244220 = 22351110611428247
BaseRepresentation
bin11101000110111010011…
…11100000110111111100
310112121112202211210100120
432203131033200313330
5112341243411303340
62043243202054540
7132154335544062
oct16433517406774
93477482753316
101000144244220
113561823967a0
12141a0234a450
137340c130954
143659b674032
151b03925a4d0
hexe8dd3e0dfc

1000144244220 has 96 divisors (see below), whose sum is σ = 3057867542016. Its totient is φ = 242230521600.

The previous prime is 1000144244219. The next prime is 1000144244243. The reversal of 1000144244220 is 224424410001.

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, 13864 + ... + 1414383.

It is an arithmetic number, because the mean of its divisors is an integer number (31852786896).

Almost surely, 21000144244220 is an apocalyptic number.

1000144244220 is a gapful number since it is divisible by the number (10) 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 1000144244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528933771008).

1000144244220 is an abundant number, since it is smaller than the sum of its proper divisors (2057723297796).

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

1000144244220 is a wasteful number, since it uses less digits than its factorization.

1000144244220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429331 (or 1429329 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1000144244220 its reverse (224424410001), we get a palindrome (1224568654221).

The spelling of 1000144244220 in words is "one trillion, one hundred forty-four million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1061 2122 3183 4244 5305 6366 10610 11671 12732 15915 21220 23342 31830 35013 46684 58355 63660 70026 116710 140052 175065 233420 350130 700260 1428247 2856494 4284741 5712988 7141235 8569482 14282470 15710717 17138964 21423705 28564940 31421434 42847410 47132151 62842868 78553585 85694820 94264302 157107170 188528604 235660755 314214340 471321510 942643020 1515370067 3030740134 4546110201 6061480268 7576850335 9092220402 15153700670 16669070737 18184440804 22730551005 30307401340 33338141474 45461102010 50007212211 66676282948 83345353685 90922204020 100014424422 166690707370 200028848844 250036061055 333381414740 500072122110 1000144244220