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41241874134648 = 233112360711189687
BaseRepresentation
bin10010110000010010111110…
…10000011111011001111000
312102000200111010012120012210
421120021133100133121320
520401201324234302043
6223414131100535120
711454425042032005
oct1130113720373170
9172020433176183
1041241874134648
1112160642859310
124760b502514a0
131a021272b0525
14a281900648ac
154b7be0bdd633
hex25825f41f678

41241874134648 has 128 divisors (see below), whose sum is σ = 117561547653120. Its totient is φ = 11934471500160.

The previous prime is 41241874134623. The next prime is 41241874134649. The reversal of 41241874134648 is 84643147814214.

41241874134648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41241874134649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909140 + ... + 9280547.

It is an arithmetic number, because the mean of its divisors is an integer number (918449591040).

Almost surely, 241241874134648 is an apocalyptic number.

It is an amenable number.

41241874134648 is an abundant number, since it is smaller than the sum of its proper divisors (76319673518472).

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

41241874134648 is a wasteful number, since it uses less digits than its factorization.

41241874134648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190337 (or 11190333 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 57.

The spelling of 41241874134648 in words is "forty-one trillion, two hundred forty-one billion, eight hundred seventy-four million, one hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 607 759 1012 1214 1518 1821 2024 2428 3036 3642 4856 6072 6677 7284 13354 13961 14568 20031 26708 27922 40062 41883 53416 55844 80124 83766 111688 153571 160248 167532 307142 335064 460713 614284 921426 1228568 1842852 3685704 11189687 22379374 33569061 44758748 67138122 89517496 123086557 134276244 246173114 257362801 268552488 369259671 492346228 514725602 738519342 772088403 984692456 1029451204 1477038684 1544176806 2058902408 2830990811 2954077368 3088353612 5661981622 6176707224 6792140009 8492972433 11323963244 13584280018 16985944866 20376420027 22647926488 27168560036 33971889732 40752840054 54337120072 67943779464 74713540099 81505680108 149427080198 156219220207 163011360216 224140620297 298854160396 312438440414 448281240594 468657660621 597708320792 624876880828 896562481188 937315321242 1249753761656 1718411422277 1793124962376 1874630642484 3436822844554 3749261284968 5155234266831 6873645689108 10310468533662 13747291378216 20620937067324 41241874134648