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444132000204 = 223270713672331
BaseRepresentation
bin1100111011010000101…
…01001000000111001100
31120110101022201021011220
412131220111020013030
524234040243001304
6540010442043340
744042001466434
oct6355025100714
91513338637156
10444132000204
1116139aa32342
12720aaaa9550
1332b5c77b329
14176d34452c4
15b84602bad9
hex67685481cc

444132000204 has 24 divisors (see below), whose sum is σ = 1036690901568. Its totient is φ = 147989299920.

The previous prime is 444132000197. The next prime is 444132000259. The reversal of 444132000204 is 402000231444.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6803682 + ... + 6868649.

It is an arithmetic number, because the mean of its divisors is an integer number (43195454232).

Almost surely, 2444132000204 is an apocalyptic number.

It is an amenable number.

444132000204 is an abundant number, since it is smaller than the sum of its proper divisors (592558901364).

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

444132000204 is a wasteful number, since it uses less digits than its factorization.

444132000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675045 (or 13675043 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444132000204 its reverse (402000231444), we get a palindrome (846132231648).

The spelling of 444132000204 in words is "four hundred forty-four billion, one hundred thirty-two million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 2707 5414 8121 10828 16242 32484 13672331 27344662 41016993 54689324 82033986 164067972 37011000017 74022000034 111033000051 148044000068 222066000102 444132000204