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241130020684 = 22731478816709
BaseRepresentation
bin1110000010010001111…
…0000001111101001100
3212001101202200012221211
43200210132001331030
512422313241130214
6302435033104204
723264266233520
oct3404436017514
9761352605854
10241130020684
1193298679533
123a895b58064
131997a533917
14b9567a3d80
1564142720c4
hex3824781f4c

241130020684 has 96 divisors (see below), whose sum is σ = 509061611520. Its totient is φ = 97754342400.

The previous prime is 241130020673. The next prime is 241130020687. The reversal of 241130020684 is 486020031142.

It is a super-6 number, since 6×2411300206846 (a number of 70 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (241130020687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35937922 + ... + 35944630.

It is an arithmetic number, because the mean of its divisors is an integer number (5302725120).

Almost surely, 2241130020684 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 241130020684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254530805760).

241130020684 is an abundant number, since it is smaller than the sum of its proper divisors (267931590836).

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

241130020684 is a wasteful number, since it uses less digits than its factorization.

241130020684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 241130020684 in words is "two hundred forty-one billion, one hundred thirty million, twenty thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 47 62 94 124 188 217 329 434 658 868 881 1316 1457 1762 2914 3524 5828 6167 6709 10199 12334 13418 20398 24668 26836 27311 40796 41407 46963 54622 82814 93926 109244 165628 187852 191177 207979 289849 315323 382354 415958 579698 630646 764708 831916 1159396 1261292 1283617 1455853 2207261 2567234 2911706 4414522 5134468 5823412 5910629 8829044 8985319 9775013 11821258 17970638 19550026 23642516 35941276 39100052 41374403 68425091 82748806 136850182 165497612 183229499 273700364 277799563 366458998 555599126 732917996 1111198252 1282606493 1944596941 2565212986 3889193882 5130425972 7778387764 8611786453 17223572906 34447145812 60282505171 120565010342 241130020684