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1441375830 = 233527119699
BaseRepresentation
bin101010111101001…
…1010011001010110
310201110012110221000
41111322122121112
510422443011310
6355005404130
750501330616
oct12572323126
93643173830
101441375830
1167a689aa4
12342869646
1319c80760b
14d9602a46
15868194c0
hex55e9a656

1441375830 has 64 divisors (see below), whose sum is σ = 3858048000. Its totient is φ = 382929120.

The previous prime is 1441375829. The next prime is 1441375847. The reversal of 1441375830 is 385731441.

It is a happy number.

1441375830 is a `hidden beast` number, since 1 + 4 + 41 + 37 + 583 + 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 31 ways as a sum of consecutive naturals, for example, 63321 + ... + 83019.

It is an arithmetic number, because the mean of its divisors is an integer number (60282000).

Almost surely, 21441375830 is an apocalyptic number.

1441375830 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 1441375830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929024000).

1441375830 is an abundant number, since it is smaller than the sum of its proper divisors (2416672170).

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

1441375830 is a wasteful number, since it uses less digits than its factorization.

1441375830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19986 (or 19980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1441375830 is about 37965.4557459805. The cubic root of 1441375830 is about 1129.6027606243.

The spelling of 1441375830 in words is "one billion, four hundred forty-one million, three hundred seventy-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 271 542 813 1355 1626 2439 2710 4065 4878 7317 8130 12195 14634 19699 24390 36585 39398 59097 73170 98495 118194 177291 196990 295485 354582 531873 590970 886455 1063746 1772910 2659365 5318730 5338429 10676858 16015287 26692145 32030574 48045861 53384290 80076435 96091722 144137583 160152870 240229305 288275166 480458610 720687915 1441375830