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1441241088 = 21137233147
BaseRepresentation
bin101010111100111…
…1001100000000000
310201102221122002120
41111321321200000
510422424203323
6355002444240
750500230030
oct12571714000
93642848076
101441241088
1167a5a7841
12342803680
1319c78b1a1
14d95a98c0
15867de5e3
hex55e79800

1441241088 has 384 divisors, whose sum is σ = 4830658560. Its totient is φ = 373063680.

The previous prime is 1441241077. The next prime is 1441241089. The reversal of 1441241088 is 8801421441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441241089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30664681 + ... + 30664727.

It is an arithmetic number, because the mean of its divisors is an integer number (12579840).

Almost surely, 21441241088 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 1441241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415329280).

1441241088 is an abundant number, since it is smaller than the sum of its proper divisors (3389417472).

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

1441241088 is a wasteful number, since it uses less digits than its factorization.

1441241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 1441241088 is about 37963.6811702975. The cubic root of 1441241088 is about 1129.5675605340.

The spelling of 1441241088 in words is "one billion, four hundred forty-one million, two hundred forty-one thousand, eighty-eight".