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40844440032 = 2531138678447
BaseRepresentation
bin100110000010100001…
…001011000111100000
310220102112000112110020
4212002201023013200
51132122134040112
630432542033440
72644110004044
oct460241130740
9126375015406
1040844440032
111635a692370
127aba878880
133b0bcc4c16
141d967c4024
1510e0bdb48c
hex98284b1e0

40844440032 has 48 divisors (see below), whose sum is σ = 116963626752. Its totient is φ = 12377102720.

The previous prime is 40844440031. The next prime is 40844440067. The reversal of 40844440032 is 23004444804.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×408444400322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40844439975 and 40844440002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40844440031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19338168 + ... + 19340279.

It is an arithmetic number, because the mean of its divisors is an integer number (2436742224).

Almost surely, 240844440032 is an apocalyptic number.

It is an amenable number.

40844440032 is an abundant number, since it is smaller than the sum of its proper divisors (76119186720).

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

40844440032 is a wasteful number, since it uses less digits than its factorization.

40844440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38678471 (or 38678463 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 40844440032 its reverse (23004444804), we get a palindrome (63848884836).

The spelling of 40844440032 in words is "forty billion, eight hundred forty-four million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 38678447 77356894 116035341 154713788 232070682 309427576 425462917 464141364 618855152 850925834 928282728 1237710304 1276388751 1701851668 1856565456 2552777502 3403703336 3713130912 5105555004 6807406672 10211110008 13614813344 20422220016 40844440032