Search a number
-
+
441450844648 = 231121726826133
BaseRepresentation
bin1100110110010001000…
…01010101000111101000
31120012110110122110012021
412123020201111013220
524213042404012043
6534444423354224
743615364160412
oct6331041250750
91505413573167
10441450844648
11160244547500
1271680bb2974
1332823162058
141751b3199b2
15b73a96a3ed
hex66c88551e8

441450844648 has 48 divisors (see below), whose sum is σ = 963326471940. Its totient is φ = 188855969280.

The previous prime is 441450844621. The next prime is 441450844657. The reversal of 441450844648 is 846448054144.

It can be written as a sum of positive squares in 2 ways, for example, as 421743738724 + 19707105924 = 649418^2 + 140382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441450844595 and 441450844604.

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 11 ways as a sum of consecutive naturals, for example, 13396611 + ... + 13429522.

Almost surely, 2441450844648 is an apocalyptic number.

It is an amenable number.

441450844648 is an abundant number, since it is smaller than the sum of its proper divisors (521875627292).

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

441450844648 is a wasteful number, since it uses less digits than its factorization.

441450844648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26826178 (or 26826163 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 52.

The spelling of 441450844648 in words is "four hundred forty-one billion, four hundred fifty million, eight hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 8228 16456 26826133 53652266 107304532 214609064 295087463 456044261 590174926 912088522 1180349852 1824177044 2360699704 3245962093 3648354088 5016486871 6491924186 10032973742 12983848372 20065947484 25967696744 40131894968 55181355581 110362711162 220725422324 441450844648