Search a number
-
+
194041280720 = 24575314594481
BaseRepresentation
bin1011010010110111000…
…0101111100011010000
3200112212001220101022202
42310231300233203100
511134344031440340
6225050310022332
720006344446410
oct2645560574320
9615761811282
10194041280720
1175324276211
12317340479a8
13153b4977b91
14956a97a640
1550aa292c15
hex2d2dc2f8d0

194041280720 has 160 divisors (see below), whose sum is σ = 525800989440. Its totient is φ = 65213890560.

The previous prime is 194041280623. The next prime is 194041280737. The reversal of 194041280720 is 27082140491.

It is a happy number.

194041280720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 43300880 + ... + 43305360.

It is an arithmetic number, because the mean of its divisors is an integer number (3286256184).

Almost surely, 2194041280720 is an apocalyptic number.

194041280720 is a gapful number since it is divisible by the number (10) 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 194041280720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262900494720).

194041280720 is an abundant number, since it is smaller than the sum of its proper divisors (331759708720).

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

194041280720 is a wasteful number, since it uses less digits than its factorization.

194041280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 194041280720 in words is "one hundred ninety-four billion, forty-one million, two hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1459 1484 1855 2120 2918 2968 3710 4240 4481 5836 5936 7295 7420 8962 10213 11672 14590 14840 17924 20426 22405 23344 29180 29680 31367 35848 40852 44810 51065 58360 62734 71696 77327 81704 89620 102130 116720 125468 154654 156835 163408 179240 204260 237493 250936 309308 313670 358480 386635 408520 474986 501872 541289 618616 627340 773270 817040 949972 1082578 1187465 1237232 1254680 1546540 1662451 1899944 2165156 2374930 2509360 2706445 3093080 3324902 3799888 4330312 4749860 5412890 6186160 6537779 6649804 8312255 8660624 9499720 10825780 13075558 13299608 16624510 18999440 21651560 26151116 26599216 32688895 33249020 43303120 45764453 52302232 65377790 66498040 91528906 104604464 130755580 132996080 183057812 228822265 261511160 346502287 366115624 457644530 523022320 693004574 732231248 915289060 1386009148 1732511435 1830578120 2425516009 2772018296 3465022870 3661156240 4851032018 5544036592 6930045740 9702064036 12127580045 13860091480 19404128072 24255160090 27720182960 38808256144 48510320180 97020640360 194041280720