Search a number
-
+
41660307720 = 23335199193841
BaseRepresentation
bin100110110011001001…
…011101100100001000
310222112101012220112000
4212303021131210020
51140310014321340
631045524551000
73003244526043
oct466311354410
9128471186460
1041660307720
1116739180889
1280a7b52460
133c0c042375
142032cbdc5a
15113c649d30
hex9b325d908

41660307720 has 128 divisors (see below), whose sum is σ = 139566240000. Its totient is φ = 11053532160.

The previous prime is 41660307719. The next prime is 41660307727. The reversal of 41660307720 is 2770306614.

41660307720 is a `hidden beast` number, since 41 + 6 + 603 + 0 + 7 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41660307727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118000 + ... + 311840.

It is an arithmetic number, because the mean of its divisors is an integer number (1090361250).

Almost surely, 241660307720 is an apocalyptic number.

41660307720 is a gapful number since it is divisible by the number (40) 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 41660307720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69783120000).

41660307720 is an abundant number, since it is smaller than the sum of its proper divisors (97905932280).

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

41660307720 is a wasteful number, since it uses less digits than its factorization.

41660307720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194060 (or 194050 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 41660307720 in words is "forty-one billion, six hundred sixty million, three hundred seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 199 216 270 360 398 540 597 796 995 1080 1194 1592 1791 1990 2388 2985 3582 3980 4776 5373 5970 7164 7960 8955 10746 11940 14328 17910 21492 23880 26865 35820 42984 53730 71640 107460 193841 214920 387682 581523 775364 969205 1163046 1550728 1744569 1938410 2326092 2907615 3489138 3876820 4652184 5233707 5815230 6978276 7753640 8722845 10467414 11630460 13956552 17445690 20934828 23260920 26168535 34891380 38574359 41869656 52337070 69782760 77148718 104674140 115723077 154297436 192871795 209348280 231446154 308594872 347169231 385743590 462892308 578615385 694338462 771487180 925784616 1041507693 1157230770 1388676924 1542974360 1735846155 2083015386 2314461540 2777353848 3471692310 4166030772 4628923080 5207538465 6943384620 8332061544 10415076930 13886769240 20830153860 41660307720