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243443516420 = 225132277260017
BaseRepresentation
bin1110001010111001011…
…1010100010000000100
3212021100222220222111002
43202232113110100010
512442033020011140
6303500355232432
723405520514166
oct3425627242004
9767328828432
10243443516420
1194275578085
123b2208a8718
1319c58922800
14bad5b46936
1564ec40c415
hex38ae5d4404

243443516420 has 72 divisors (see below), whose sum is σ = 555582540744. Its totient is φ = 89561991168.

The previous prime is 243443516417. The next prime is 243443516479. The reversal of 243443516420 is 24615344342.

It can be written as a sum of positive squares in 12 ways, for example, as 205711230916 + 37732285504 = 453554^2 + 194248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806252 + ... + 1066268.

It is an arithmetic number, because the mean of its divisors is an integer number (7716424177).

Almost surely, 2243443516420 is an apocalyptic number.

243443516420 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 243443516420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277791270372).

243443516420 is an abundant number, since it is smaller than the sum of its proper divisors (312139024324).

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

243443516420 is a wasteful number, since it uses less digits than its factorization.

243443516420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260329 (or 260314 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 243443516420 in words is "two hundred forty-three billion, four hundred forty-three million, five hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 277 338 554 676 845 1108 1385 1690 2770 3380 3601 5540 7202 14404 18005 36010 46813 72020 93626 187252 234065 260017 468130 520034 936260 1040068 1300085 2600170 3380221 5200340 6760442 13520884 16901105 33802210 43942873 67604420 72024709 87885746 144049418 175771492 219714365 288098836 360123545 439428730 720247090 878857460 936321217 1440494180 1872642434 3745284868 4681606085 9363212170 12172175821 18726424340 24344351642 48688703284 60860879105 121721758210 243443516420