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1441061300 = 225278923131
BaseRepresentation
bin101010111100100…
…1101100110110100
310201102121111110202
41111321031212310
510422402430200
6354554540032
750465550620
oct12571154664
93642544422
101441061300
1167a494758
12342737618
1319c7273c3
14d9560180
15867a61d5
hex55e4d9b4

1441061300 has 72 divisors (see below), whose sum is σ = 3614143680. Its totient is φ = 488505600.

The previous prime is 1441061273. The next prime is 1441061329. The reversal of 1441061300 is 31601441.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 50735 + ... + 73865.

It is an arithmetic number, because the mean of its divisors is an integer number (50196440).

Almost surely, 21441061300 is an apocalyptic number.

1441061300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807071840).

1441061300 is an abundant number, since it is smaller than the sum of its proper divisors (2173082380).

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

1441061300 is a wasteful number, since it uses less digits than its factorization.

1441061300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23241 (or 23234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1441061300 is about 37961.3132017321. The cubic root of 1441061300 is about 1129.5205891796.

Adding to 1441061300 its reverse (31601441), we get a palindrome (1472662741).

The spelling of 1441061300 in words is "one billion, four hundred forty-one million, sixty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 350 356 445 623 700 890 1246 1780 2225 2492 3115 4450 6230 8900 12460 15575 23131 31150 46262 62300 92524 115655 161917 231310 323834 462620 578275 647668 809585 1156550 1619170 2058659 2313100 3238340 4047925 4117318 8095850 8234636 10293295 14410613 16191700 20586590 28821226 41173180 51466475 57642452 72053065 102932950 144106130 205865900 288212260 360265325 720530650 1441061300