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40224214044 = 22327641249017
BaseRepresentation
bin100101011101100011…
…001100110000011100
310211211021221210100100
4211131203030300130
51124334344322134
630251224301100
72622536115030
oct453543146034
9124737853310
1040224214044
111607157a403
127967011790
133a406670b1
141d382941c0
1510a6525999
hex95d8ccc1c

40224214044 has 72 divisors (see below), whose sum is σ = 116385036768. Its totient is φ = 11474657280.

The previous prime is 40224213983. The next prime is 40224214049. The reversal of 40224214044 is 44041242204.

40224214044 is a `hidden beast` number, since 402 + 2 + 4 + 214 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40224213999 and 40224214017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224214049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37024 + ... + 286040.

It is an arithmetic number, because the mean of its divisors is an integer number (1616458844).

Almost surely, 240224214044 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 40224214044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58192518384).

40224214044 is an abundant number, since it is smaller than the sum of its proper divisors (76160822724).

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

40224214044 is a wasteful number, since it uses less digits than its factorization.

40224214044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249675 (or 249670 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40224214044 its reverse (44041242204), we get a palindrome (84265456248).

The spelling of 40224214044 in words is "forty billion, two hundred twenty-four million, two hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 641 1282 1923 2564 3846 4487 5769 7692 8974 11538 13461 17948 23076 26922 40383 53844 80766 161532 249017 498034 747051 996068 1494102 1743119 2241153 2988204 3486238 4482306 5229357 6972476 8964612 10458714 15688071 20917428 31376142 62752284 159619897 319239794 478859691 638479588 957719382 1117339279 1436579073 1915438764 2234678558 2873158146 3352017837 4469357116 5746316292 6704035674 10056053511 13408071348 20112107022 40224214044