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40222144122204 = 223111481205748287
BaseRepresentation
bin10010010010100111100101…
…00111001100110101011100
312021102012101101021122210010
421021103302213030311130
520232444422343402304
6221313444203443220
711320645140655542
oct1111236247146534
9167365341248703
1040222144122204
11118a812a84a010
1246173a2826510
131959c1655a315
149d0a95535d92
1549b40c28c789
hex2494f29ccd5c

40222144122204 has 48 divisors (see below), whose sum is σ = 102452771506176. Its totient is φ = 12180298531200.

The previous prime is 40222144122203. The next prime is 40222144122389.

40222144122204 is nontrivially palindromic in base 10.

40222144122204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222144122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102678652 + ... + 103069635.

It is an arithmetic number, because the mean of its divisors is an integer number (2134432739712).

Almost surely, 240222144122204 is an apocalyptic number.

40222144122204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40222144122204 is an abundant number, since it is smaller than the sum of its proper divisors (62230627383972).

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

40222144122204 is a wasteful number, since it uses less digits than its factorization.

40222144122204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205749786 (or 205749784 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4022214 and 4122204, that added together give a palindrome (8144418).

The spelling of 40222144122204 in words is "forty trillion, two hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1481 2962 4443 5924 8886 16291 17772 32582 48873 65164 97746 195492 205748287 411496574 617244861 822993148 1234489722 2263231157 2468979444 4526462314 6789693471 9052924628 13579386942 27158773884 304713213047 609426426094 914139639141 1218852852188 1828279278282 3351845343517 3656558556564 6703690687034 10055536030551 13407381374068 20111072061102 40222144122204