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243325544440 = 2351117299910847
BaseRepresentation
bin1110001010011101010…
…1010010011111111000
3212021001202221101100111
43202213111102133320
512441312314410230
6303440542514104
723402556000436
oct3424725223770
9767052841314
10243325544440
1194214a20a80
123b1a9295934
1319c3a3589c4
14bac41d7d56
1564e1da792a
hex38a75527f8

243325544440 has 128 divisors (see below), whose sum is σ = 632655360000. Its totient is φ = 83241748480.

The previous prime is 243325544417. The next prime is 243325544447. The reversal of 243325544440 is 44445523342.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 243325544393 and 243325544402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243325544447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22427097 + ... + 22437943.

It is an arithmetic number, because the mean of its divisors is an integer number (4942620000).

Almost surely, 2243325544440 is an apocalyptic number.

243325544440 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 243325544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316327680000).

243325544440 is an abundant number, since it is smaller than the sum of its proper divisors (389329815560).

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

243325544440 is a wasteful number, since it uses less digits than its factorization.

243325544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13881 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

The spelling of 243325544440 in words is "two hundred forty-three billion, three hundred twenty-five million, five hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 2999 3740 5998 7480 10847 11996 14995 21694 23992 29990 32989 43388 50983 54235 59980 65978 86776 101966 108470 119317 119960 131956 164945 184399 203932 216940 238634 254915 263912 329890 368798 407864 433880 477268 509830 560813 596585 659780 737596 921995 954536 1019660 1121626 1193170 1319560 1475192 1843990 2028389 2039320 2243252 2386340 2804065 3687980 4056778 4486504 4772680 5608130 7375960 8113556 10141945 11216260 16227112 20283890 22432520 32530153 40567780 65060306 81135560 130120612 162650765 260241224 325301530 357831683 553012601 650603060 715663366 1106025202 1301206120 1431326732 1789158415 2212050404 2765063005 2862653464 3578316830 4424100808 5530126010 6083138611 7156633660 11060252020 12166277222 14313267320 22120504040 24332554444 30415693055 48665108888 60831386110 121662772220 243325544440