Search a number
-
+
41785241966640 = 2433519345019429
BaseRepresentation
bin10011000000000111000101…
…00000010001100000110000
312110221122000100122101221000
421200003202200101200300
520434102133420413030
6224511513011202000
711541612151301334
oct1140034240214060
9173848010571830
1041785241966640
1112350026829877
12482a314ba6300
131a41440152943
14a465b8c4b7c4
154c6de3d09860
hex2600e2811830

41785241966640 has 80 divisors (see below), whose sum is σ = 143926944559200. Its totient is φ = 11142731190528.

The previous prime is 41785241966551. The next prime is 41785241966641. The reversal of 41785241966640 is 4666914258714.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41785241966641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9672507555 + ... + 9672511874.

It is an arithmetic number, because the mean of its divisors is an integer number (1799086806990).

Almost surely, 241785241966640 is an apocalyptic number.

41785241966640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41785241966640 is an abundant number, since it is smaller than the sum of its proper divisors (102141702592560).

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

41785241966640 is a wasteful number, since it uses less digits than its factorization.

41785241966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345019451 (or 19345019439 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 41785241966640 in words is "forty-one trillion, seven hundred eighty-five billion, two hundred forty-one million, nine hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 19345019429 38690038858 58035058287 77380077716 96725097145 116070116574 154760155432 174105174861 193450194290 232140233148 290175291435 309520310864 348210349722 386900388580 464280466296 522315524583 580350582870 696420699444 773800777160 870525874305 928560932592 1044631049166 1160701165740 1392841398888 1547601554320 1741051748610 2089262098332 2321402331480 2611577622915 2785682797776 3482103497220 4178524196664 4642804662960 5223155245830 6964206994440 8357048393328 10446310491660 13928413988880 20892620983320 41785241966640