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41820941328 = 2431914561621
BaseRepresentation
bin100110111100101110…
…001110110000010000
310222221120110221101220
4212330232032300100
51141122130110303
631113503525040
73010235064435
oct467456166020
9128846427356
1041820941328
1116810916231
1281318b9780
133c363c533a
14204a375b8c
15114b7ca053
hex9bcb8ec10

41820941328 has 40 divisors (see below), whose sum is σ = 108603096576. Its totient is φ = 13867324800.

The previous prime is 41820941299. The next prime is 41820941359. The reversal of 41820941328 is 82314902814.

It is a super-3 number, since 3×418209413283 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 41820941328.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2271643 + ... + 2289978.

Almost surely, 241820941328 is an apocalyptic number.

41820941328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41820941328 is an abundant number, since it is smaller than the sum of its proper divisors (66782155248).

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

41820941328 is a wasteful number, since it uses less digits than its factorization.

41820941328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561823 (or 4561817 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 41820941328 in words is "forty-one billion, eight hundred twenty million, nine hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 9168 4561621 9123242 13684863 18246484 27369726 36492968 54739452 72985936 109478904 218957808 871269611 1742539222 2613808833 3485078444 5227617666 6970156888 10455235332 13940313776 20910470664 41820941328