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41981283822912 = 263736785111919
BaseRepresentation
bin10011000101110100001111…
…00000100110110101000000
312111122101000211222112222120
421202322013200212311000
521000310132124313122
6225141534024404240
711562022230500610
oct1142720740466500
9174571024875876
1041981283822912
11124161872a5005
124860307016680
131a56a83416b25
14a51c95392a40
154cc069a2575c
hex262e87826d40

41981283822912 has 112 divisors (see below), whose sum is σ = 127289302179840. Its totient is φ = 11961969403392.

The previous prime is 41981283822889. The next prime is 41981283822967. The reversal of 41981283822912 is 21922838218914.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 42062712 + ... + 43049207.

Almost surely, 241981283822912 is an apocalyptic number.

41981283822912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41981283822912 is an abundant number, since it is smaller than the sum of its proper divisors (85308018356928).

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

41981283822912 is a wasteful number, since it uses less digits than its factorization.

41981283822912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85112308 (or 85112298 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 60.

The spelling of 41981283822912 in words is "forty-one trillion, nine hundred eighty-one billion, two hundred eighty-three million, eight hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 367 448 672 734 1101 1344 1468 2202 2569 2936 4404 5138 5872 7707 8808 10276 11744 15414 17616 20552 23488 30828 35232 41104 61656 70464 82208 123312 164416 246624 493248 85111919 170223838 255335757 340447676 510671514 595783433 680895352 1021343028 1191566866 1361790704 1787350299 2042686056 2383133732 2723581408 3574700598 4085372112 4766267464 5447162816 7149401196 8170744224 9532534928 14298802392 16341488448 19065069856 28597604784 31236074273 38130139712 57195209568 62472148546 93708222819 114390419136 124944297092 187416445638 218652519911 249888594184 374832891276 437305039822 499777188368 655957559733 749665782552 874610079644 999554376736 1311915119466 1499331565104 1749220159288 1999108753472 2623830238932 2998663130208 3498440318576 5247660477864 5997326260416 6996880637152 10495320955728 13993761274304 20990641911456 41981283822912