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243123411040 = 25517191467977
BaseRepresentation
bin1110001001101101001…
…0001101100001100000
3212020112200120221110021
43202123102031201200
512440404043123130
6303404522243224
723364552616306
oct3423322154140
9766480527407
10243123411040
1194120911184
123b151656514
1319c07505643
14baa541c276
1564ce27b37a
hex389b48d860

243123411040 has 96 divisors (see below), whose sum is σ = 611351483904. Its totient is φ = 91049410560.

The previous prime is 243123411017. The next prime is 243123411053. The reversal of 243123411040 is 40114321342.

It is a junction number, because it is equal to n+sod(n) for n = 243123410996 and 243123411014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285532 + ... + 753508.

It is an arithmetic number, because the mean of its divisors is an integer number (6368244624).

Almost surely, 2243123411040 is an apocalyptic number.

243123411040 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 243123411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305675741952).

243123411040 is an abundant number, since it is smaller than the sum of its proper divisors (368228072864).

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

243123411040 is a wasteful number, since it uses less digits than its factorization.

243123411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468200 (or 468192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 243123411040 its reverse (40114321342), we get a palindrome (283237732382).

The spelling of 243123411040 in words is "two hundred forty-three billion, one hundred twenty-three million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 191 272 340 382 544 680 764 955 1360 1528 1910 2720 3056 3247 3820 6112 6494 7640 12988 15280 16235 25976 30560 32470 51952 64940 103904 129880 259760 467977 519520 935954 1871908 2339885 3743816 4679770 7487632 7955609 9359540 14975264 15911218 18719080 31822436 37438160 39778045 63644872 74876320 79556090 89383607 127289744 159112180 178767214 254579488 318224360 357534428 446918035 636448720 715068856 893836070 1272897440 1430137712 1519521319 1787672140 2860275424 3039042638 3575344280 6078085276 7150688560 7597606595 12156170552 14301377120 15195213190 24312341104 30390426380 48624682208 60780852760 121561705520 243123411040