Search a number
-
+
41313332000 = 255317607549
BaseRepresentation
bin100110011110011101…
…110110101100100000
310221122012022201022102
4212132131312230200
51134102203111000
630551252025532
72661532346033
oct463635665440
9127565281272
1041313332000
1116580331896
12800b9022a8
133b851a78a5
141ddcb9d01a
15111be5c3d5
hex99e776b20

41313332000 has 96 divisors (see below), whose sum is σ = 107478025200. Its totient is φ = 15553228800.

The previous prime is 41313331981. The next prime is 41313332041. The reversal of 41313332000 is 23331314.

It can be written as a sum of positive squares in 8 ways, for example, as 174134416 + 41139197584 = 13196^2 + 202828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 235775 + ... + 371774.

Almost surely, 241313332000 is an apocalyptic number.

41313332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41313332000 is an abundant number, since it is smaller than the sum of its proper divisors (66164693200).

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

41313332000 is a wasteful number, since it uses less digits than its factorization.

41313332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607591 (or 607573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 41313332000 its reverse (23331314), we get a palindrome (41336663314).

The spelling of 41313332000 in words is "forty-one billion, three hundred thirteen million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 607549 1215098 2430196 3037745 4860392 6075490 9720784 10328333 12150980 15188725 19441568 20656666 24301960 30377450 41313332 48603920 51641665 60754900 75943625 82626664 97207840 103283330 121509800 151887250 165253328 206566660 243019600 258208325 303774500 330506656 413133320 486039200 516416650 607549000 826266640 1032833300 1215098000 1291041625 1652533280 2065666600 2430196000 2582083250 4131333200 5164166500 8262666400 10328333000 20656666000 41313332000