Search a number
-
+
240473111723000 = 235313131914024209
BaseRepresentation
bin110110101011010110000010…
…011001101111101111111000
31011112110000010121201210020022
4312223112002121233233320
5223004402413100114000
62211235453351550012
7101436415611563612
oct6653260231575770
91145400117653208
10240473111723000
116a69308a4a0392
1222b7937268b308
13a4246951b0220
144354d64283db2
151cc03ce077585
hexdab58266fbf8

240473111723000 has 128 divisors (see below), whose sum is σ = 606451717872000. Its totient is φ = 88722749491200.

The previous prime is 240473111722993. The next prime is 240473111723027. The reversal of 240473111723000 is 327111374042.

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, 10134896 + ... + 24159104.

It is an arithmetic number, because the mean of its divisors is an integer number (4737904045875).

Almost surely, 2240473111723000 is an apocalyptic number.

240473111723000 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 240473111723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303225858936000).

240473111723000 is an abundant number, since it is smaller than the sum of its proper divisors (365978606149000).

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

240473111723000 is a wasteful number, since it uses less digits than its factorization.

240473111723000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14025562 (or 14025548 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 240473111723000 in words is "two hundred forty trillion, four hundred seventy-three billion, one hundred eleven million, seven hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1319 1625 2600 2638 3250 5276 6500 6595 10552 13000 13190 17147 26380 32975 34294 52760 65950 68588 85735 131900 137176 164875 171470 263800 329750 342940 428675 659500 685880 857350 1319000 1714700 2143375 3429400 4286750 8573500 14024209 17147000 28048418 56096836 70121045 112193672 140242090 182314717 280484180 350605225 364629434 560968360 701210450 729258868 911573585 1402420900 1458517736 1753026125 1823147170 2804841800 3506052250 3646294340 4557867925 7012104500 7292588680 9115735850 14024209000 18231471700 18497931671 22789339625 36462943400 36995863342 45578679250 73991726684 91157358500 92489658355 147983453368 182314717000 184979316710 240473111723 369958633420 462448291775 480946223446 739917266840 924896583550 961892446892 1202365558615 1849793167100 1923784893784 2312241458875 2404731117230 3699586334200 4624482917750 4809462234460 6011827793075 9248965835500 9618924468920 12023655586150 18497931671000 24047311172300 30059138965375 48094622344600 60118277930750 120236555861500 240473111723000