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40991588736 = 273715249847
BaseRepresentation
bin100110001011010010…
…100000000110000000
310220210202220110112020
4212023102200012000
51132422321314421
630455320001440
72650544520030
oct461322400600
9126722813466
1040991588736
111642575736a
127b40000280
133b33636067
141dac1698c0
1510edaa5dc6
hex98b4a0180

40991588736 has 64 divisors (see below), whose sum is σ = 124438759680. Its totient is φ = 11711881728.

The previous prime is 40991588713. The next prime is 40991588773. The reversal of 40991588736 is 63788519904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×409915887363 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40991588736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7622236 + ... + 7627611.

It is an arithmetic number, because the mean of its divisors is an integer number (1944355620).

Almost surely, 240991588736 is an apocalyptic number.

It is an amenable number.

40991588736 is an abundant number, since it is smaller than the sum of its proper divisors (83447170944).

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

40991588736 is a wasteful number, since it uses less digits than its factorization.

40991588736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249871 (or 15249859 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 40991588736 in words is "forty billion, nine hundred ninety-one million, five hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15249847 30499694 45749541 60999388 91499082 106748929 121998776 182998164 213497858 243997552 320246787 365996328 426995716 487995104 640493574 731992656 853991432 975990208 1280987148 1463985312 1707982864 1951980416 2561974296 2927970624 3415965728 5123948592 5855941248 6831931456 10247897184 13663862912 20495794368 40991588736