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41303354304 = 26310910211933
BaseRepresentation
bin100110011101110111…
…110010101111000000
310221121111112210111010
4212131313302233000
51134042124314204
630550254120520
72661351501402
oct463567625700
9127544483433
1041303354304
1116575737463
1280084b0140
133b830c3224
141ddb722b72
15111b13ad89
hex99ddf2bc0

41303354304 has 112 divisors (see below), whose sum is σ = 110449502240. Its totient is φ = 13621063680.

The previous prime is 41303354303. The next prime is 41303354329. The reversal of 41303354304 is 40345330314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41303354303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21366522 + ... + 21368454.

It is an arithmetic number, because the mean of its divisors is an integer number (986156270).

Almost surely, 241303354304 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 41303354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55224751120).

41303354304 is an abundant number, since it is smaller than the sum of its proper divisors (69146147936).

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

41303354304 is a wasteful number, since it uses less digits than its factorization.

41303354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 41303354304 its reverse (40345330314), we get a palindrome (81648684618).

The spelling of 41303354304 in words is "forty-one billion, three hundred three million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1021 1308 1744 1933 2042 2616 3063 3488 3866 4084 5232 5799 6126 6976 7732 8168 10464 11598 12252 15464 16336 20928 23196 24504 30928 32672 46392 49008 61856 65344 92784 98016 111289 123712 185568 196032 210697 222578 333867 371136 421394 445156 632091 667734 842788 890312 1264182 1335468 1685576 1780624 1973593 2528364 2670936 3371152 3561248 3947186 5056728 5341872 5920779 6742304 7122496 7894372 10113456 10683744 11841558 13484608 15788744 20226912 21367488 23683116 31577488 40453824 47366232 63154976 94732464 126309952 189464928 215121637 378929856 430243274 645364911 860486548 1290729822 1720973096 2581459644 3441946192 5162919288 6883892384 10325838576 13767784768 20651677152 41303354304