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230502433244240 = 2456122789277637
BaseRepresentation
bin110100011010010000000111…
…101001110100010001010000
31010020010211001220010010220002
4310122100013221310101100
5220203022440402303430
62134123204520505132
766360152114100053
oct6432200751642120
91106124056103802
10230502433244240
1167499595420253
1221a28aba61b1a8
139b803949a4391
1440cc53d428a9a
151b9ad6d3dc845
hexd1a407a74450

230502433244240 has 120 divisors (see below), whose sum is σ = 545045045252760. Its totient is φ = 90656638556160.

The previous prime is 230502433244087. The next prime is 230502433244311. The reversal of 230502433244240 is 42442334205032.

It can be written as a sum of positive squares in 12 ways, for example, as 88647949412416 + 141854483831824 = 9415304^2 + 11910268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230502433244194 and 230502433244203.

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, 830090702 + ... + 830368338.

It is an arithmetic number, because the mean of its divisors is an integer number (4542042043773).

Almost surely, 2230502433244240 is an apocalyptic number.

230502433244240 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 230502433244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272522522626380).

230502433244240 is an abundant number, since it is smaller than the sum of its proper divisors (314542612008520).

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

230502433244240 is a wasteful number, since it uses less digits than its factorization.

230502433244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280561 (or 280494 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 38.

Adding to 230502433244240 its reverse (42442334205032), we get a palindrome (272944767449272).

The spelling of 230502433244240 in words is "two hundred thirty trillion, five hundred two billion, four hundred thirty-three million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2789 3721 4880 5578 7442 11156 13945 14884 18605 22312 27890 29768 37210 44624 55780 59536 74420 111560 148840 170129 223120 277637 297680 340258 555274 680516 850645 1110548 1361032 1388185 1701290 2221096 2722064 2776370 3402580 4442192 5552740 6805160 10377869 11105480 13610320 16935857 20755738 22210960 33871714 41511476 51889345 67743428 83022952 84679285 103778690 135486856 166045904 169358570 207557380 270973712 338717140 415114760 677434280 774329593 830229520 1033087277 1354868560 1548659186 2066174554 3097318372 3871647965 4132349108 5165436385 6194636744 7743295930 8264698216 10330872770 12389273488 15486591860 16529396432 20661745540 30973183720 41323491080 47234105173 61946367440 82646982160 94468210346 188936420692 236170525865 377872841384 472341051730 755745682768 944682103460 1889364206920 2881280415553 3778728413840 5762560831106 11525121662212 14406402077765 23050243324424 28812804155530 46100486648848 57625608311060 115251216622120 230502433244240