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40844822848 = 264759922669
BaseRepresentation
bin100110000010100010…
…101000100101000000
310220102112201222120121
4212002202220211000
51132122233312343
630432554150024
72644113160114
oct460242504500
9126375658517
1040844822848
111635a923a45
127abaa22314
133b0c0ca23b
141d96883744
1510e0c64aed
hex9828a8940

40844822848 has 56 divisors (see below), whose sum is σ = 82917792000. Its totient is φ = 19953643008.

The previous prime is 40844822839. The next prime is 40844822857. The reversal of 40844822848 is 84822844804.

It is an interprime number because it is at equal distance from previous prime (40844822839) and next prime (40844822857).

It is a super-2 number, since 2×408448228482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40844822795 and 40844822804.

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, 1790458 + ... + 1813126.

Almost surely, 240844822848 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 40844822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41458896000).

40844822848 is an abundant number, since it is smaller than the sum of its proper divisors (42072969152).

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

40844822848 is a wasteful number, since it uses less digits than its factorization.

40844822848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23327 (or 23317 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 52.

The spelling of 40844822848 in words is "forty billion, eight hundred forty-four million, eight hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 599 752 1198 1504 2396 3008 4792 9584 19168 22669 28153 38336 45338 56306 90676 112612 181352 225224 362704 450448 725408 900896 1065443 1450816 1801792 2130886 4261772 8523544 13578731 17047088 27157462 34094176 54314924 68188352 108629848 217259696 434519392 638200357 869038784 1276400714 2552801428 5105602856 10211205712 20422411424 40844822848