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1441105470 = 2325717239563
BaseRepresentation
bin101010111100101…
…1000011000111110
310201102200202001200
41111321120120332
510422410333340
6354555520330
750466123450
oct12571303076
93642622050
101441105470
1167a514962
123427590a6
1319c74153c
14d95722d0
15867b4330
hex55e5863e

1441105470 has 192 divisors, whose sum is σ = 4561090560. Its totient is φ = 308173824.

The previous prime is 1441105427. The next prime is 1441105481. The reversal of 1441105470 is 745011441.

1441105470 is a `hidden beast` number, since 1 + 4 + 4 + 110 + 547 + 0 = 666.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 2559409 + ... + 2559971.

It is an arithmetic number, because the mean of its divisors is an integer number (23755680).

Almost surely, 21441105470 is an apocalyptic number.

1441105470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441105470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280545280).

1441105470 is an abundant number, since it is smaller than the sum of its proper divisors (3119985090).

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

1441105470 is a wasteful number, since it uses less digits than its factorization.

1441105470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1441105470 is about 37961.8949737760. The cubic root of 1441105470 is about 1129.5321293815.

The spelling of 1441105470 in words is "one billion, four hundred forty-one million, one hundred five thousand, four hundred seventy".