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41304220680 = 233517101200467
BaseRepresentation
bin100110011101111011…
…000110010000001000
310221121120011210221010
4212131323012100020
51134042340030210
630550324443520
72661362040312
oct463573062010
9127546153833
1041304220680
1116576179378
1280088495a0
133b83337688
141ddb8aa7b2
15111b25c920
hex99dec6408

41304220680 has 128 divisors (see below), whose sum is σ = 132501329280. Its totient is φ = 10263859200.

The previous prime is 41304220651. The next prime is 41304220687. The reversal of 41304220680 is 8602240314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41304220687) 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, 105807 + ... + 306273.

It is an arithmetic number, because the mean of its divisors is an integer number (1035166635).

Almost surely, 241304220680 is an apocalyptic number.

41304220680 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 41304220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66250664640).

41304220680 is an abundant number, since it is smaller than the sum of its proper divisors (91197108600).

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

41304220680 is a wasteful number, since it uses less digits than its factorization.

41304220680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200599 (or 200595 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 41304220680 its reverse (8602240314), we get a palindrome (49906460994).

The spelling of 41304220680 in words is "forty-one billion, three hundred four million, two hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 10302 12120 13736 17170 20604 25755 34340 41208 51510 68680 103020 200467 206040 400934 601401 801868 1002335 1202802 1603736 2004670 2405604 3007005 3407939 4009340 4811208 6014010 6815878 8018680 10223817 12028020 13631756 17039695 20247167 20447634 24056040 27263512 34079390 40494334 40895268 51119085 60741501 68158780 80988668 81790536 101235835 102238170 121483002 136317560 161977336 202471670 204476340 242966004 303707505 344201839 404943340 408952680 485932008 607415010 688403678 809886680 1032605517 1214830020 1376807356 1721009195 2065211034 2429660040 2753614712 3442018390 4130422068 5163027585 6884036780 8260844136 10326055170 13768073560 20652110340 41304220680