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243143343200 = 25521733753051
BaseRepresentation
bin1110001001110001111…
…0001111110001100000
3212020121002002121020102
43202130132033301200
512440424143440300
6303410513401532
723365214213462
oct3423436176140
9766532077212
10243143343200
119413109553a
123b1582692a8
1319c0b693c14
14baa7d2a132
1564d0db70d5
hex389c78fc60

243143343200 has 144 divisors (see below), whose sum is σ = 630366622704. Its totient is φ = 91262976000.

The previous prime is 243143343199. The next prime is 243143343259. The reversal of 243143343200 is 2343341342.

243143343200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4556675 + ... + 4609725.

It is an arithmetic number, because the mean of its divisors is an integer number (4377545991).

Almost surely, 2243143343200 is an apocalyptic number.

243143343200 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 243143343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315183311352).

243143343200 is an abundant number, since it is smaller than the sum of its proper divisors (387223279504).

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

243143343200 is a wasteful number, since it uses less digits than its factorization.

243143343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53425 (or 53412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 243143343200 its reverse (2343341342), we get a palindrome (245486684542).

The spelling of 243143343200 in words is "two hundred forty-three billion, one hundred forty-three million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 337 340 400 425 544 674 680 800 850 1348 1360 1685 1700 2696 2720 3370 3400 5392 5729 6740 6800 8425 10784 11458 13480 13600 16850 22916 26960 28645 33700 45832 53051 53920 57290 67400 91664 106102 114580 134800 143225 183328 212204 229160 265255 269600 286450 424408 458320 530510 572900 848816 901867 916640 1061020 1145800 1326275 1697632 1803734 2122040 2291600 2652550 3607468 4244080 4509335 4583200 5305100 7214936 8488160 9018670 10610200 14429872 17878187 18037340 21220400 22546675 28859744 35756374 36074680 42440800 45093350 71512748 72149360 89390935 90186700 143025496 144298720 178781870 180373400 286050992 303929179 357563740 360746800 446954675 572101984 607858358 715127480 721493600 893909350 1215716716 1430254960 1519645895 1787818700 2431433432 2860509920 3039291790 3575637400 4862866864 6078583580 7151274800 7598229475 9725733728 12157167160 14302549600 15196458950 24314334320 30392917900 48628668640 60785835800 121571671600 243143343200