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40223211232204 = 227112134343149277
BaseRepresentation
bin10010010010101001100100…
…01101111001101111001100
312021102022010202020110111201
421021110302031321233030
520233004114033412304
6221314142123355244
711321013446155450
oct1111246215715714
9167368122213451
1040223211232204
11118a862813a600
124617640082b24
13195a056663760
149d0b57152660
1549b470cc83a4
hex249532379bcc

40223211232204 has 288 divisors, whose sum is σ = 97669103228928. Its totient is φ = 14096405030400.

The previous prime is 40223211232189. The next prime is 40223211232223.

40223211232204 is nontrivially palindromic in base 10.

40223211232204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 816242814 + ... + 816292090.

It is an arithmetic number, because the mean of its divisors is an integer number (339128830656).

Almost surely, 240223211232204 is an apocalyptic number.

40223211232204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223211232204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48834551614464).

40223211232204 is an abundant number, since it is smaller than the sum of its proper divisors (57445891996724).

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

40223211232204 is a wasteful number, since it uses less digits than its factorization.

40223211232204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49797 (or 49784 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4022321 and 1232204, that added together give a palindrome (5254525).

The spelling of 40223211232204 in words is "forty trillion, two hundred twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, two hundred four".