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40400444224 = 267864710429
BaseRepresentation
bin100101101000000011…
…011101101101000000
310212021120120012201001
4211220003131231000
51130220003203344
630320521421344
72630106052450
oct455003355500
9125246505631
1040400444224
1116151aa7788
1279b603a854
133a6b01b0ca
141d53849d60
1510b6c36ed4
hex9680ddb40

40400444224 has 56 divisors (see below), whose sum is σ = 91641818240. Its totient is φ = 17310813696.

The previous prime is 40400444221. The next prime is 40400444233. The reversal of 40400444224 is 42244400404.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40400444192 and 40400444201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400444221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3868642 + ... + 3879070.

It is an arithmetic number, because the mean of its divisors is an integer number (1636461040).

Almost surely, 240400444224 is an apocalyptic number.

It is an amenable number.

40400444224 is an abundant number, since it is smaller than the sum of its proper divisors (51241374016).

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

40400444224 is a wasteful number, since it uses less digits than its factorization.

40400444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40400444224 its reverse (42244400404), we get a palindrome (82644844628).

The spelling of 40400444224 in words is "forty billion, four hundred million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 8647 10429 17294 20858 34588 41716 60529 69176 73003 83432 121058 138352 146006 166864 242116 276704 292012 333728 484232 553408 584024 667456 968464 1168048 1936928 2336096 3873856 4672192 90179563 180359126 360718252 631256941 721436504 1262513882 1442873008 2525027764 2885746016 5050055528 5771492032 10100111056 20200222112 40400444224