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4240202313420 = 2232541757758987
BaseRepresentation
bin111101101100111111110…
…000001010111011001100
3120000100200222201111202200
4331230333300022323030
51023432413243012140
613003531055121500
7615226110662013
oct75547760127314
916010628644680
104240202313420
111395294733987
12585943213290
13249b07084438
14109326813a7a
157546da7b030
hex3db3fc0aecc

4240202313420 has 144 divisors (see below), whose sum is σ = 13193075514528. Its totient is φ = 1101683358720.

The previous prime is 4240202313419. The next prime is 4240202313443. The reversal of 4240202313420 is 243132020424.

4240202313420 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 2 + 0 + 231 + 3 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5207167 + ... + 5966153.

It is an arithmetic number, because the mean of its divisors is an integer number (91618579962).

Almost surely, 24240202313420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240202313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596537757264).

4240202313420 is an abundant number, since it is smaller than the sum of its proper divisors (8952873201108).

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

4240202313420 is a wasteful number, since it uses less digits than its factorization.

4240202313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759800 (or 759795 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4240202313420 its reverse (243132020424), we get a palindrome (4483334333844).

The spelling of 4240202313420 in words is "four trillion, two hundred forty billion, two hundred two million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 757 820 1230 1476 1514 1845 2271 2460 3028 3690 3785 4542 6813 7380 7570 9084 11355 13626 15140 22710 27252 31037 34065 45420 62074 68130 93111 124148 136260 155185 186222 279333 310370 372444 465555 558666 620740 758987 931110 1117332 1396665 1517974 1862220 2276961 2793330 3035948 3794935 4553922 5586660 6830883 7589870 9107844 11384805 13661766 15179740 22769610 27323532 31118467 34154415 45539220 62236934 68308830 93355401 124473868 136617660 155592335 186710802 280066203 311184670 373421604 466777005 560132406 574553159 622369340 933554010 1120264812 1149106318 1400331015 1723659477 1867108020 2298212636 2800662030 2872765795 3447318954 5170978431 5601324060 5745531590 6894637908 8618297385 10341956862 11491063180 17236594770 20683913724 23556679519 25854892155 34473189540 47113359038 51709784310 70670038557 94226718076 103419568620 117783397595 141340077114 212010115671 235566795190 282680154228 353350192785 424020231342 471133590380 706700385570 848040462684 1060050578355 1413400771140 2120101156710 4240202313420