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1441221000 = 233533115497
BaseRepresentation
bin101010111100111…
…0100100110001000
310201102220121112120
41111321310212020
510422423033000
6355002211240
750500114332
oct12571644610
93642817476
101441221000
1167a59373a
123427b3b20
1319c781cbb
14d95a2452
15867d86a0
hex55e74988

1441221000 has 128 divisors (see below), whose sum is σ = 4641960960. Its totient is φ = 371904000.

The previous prime is 1441220933. The next prime is 1441221013. The reversal of 1441221000 is 1221441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85252 + ... + 100748.

It is an arithmetic number, because the mean of its divisors is an integer number (36265320).

Almost surely, 21441221000 is an apocalyptic number.

1441221000 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 1441221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320980480).

1441221000 is an abundant number, since it is smaller than the sum of its proper divisors (3200739960).

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

1441221000 is a wasteful number, since it uses less digits than its factorization.

1441221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1441221000 is about 37963.4166007223. The cubic root of 1441221000 is about 1129.5623125435.

Adding to 1441221000 its reverse (1221441), we get a palindrome (1442442441).

The spelling of 1441221000 in words is "one billion, four hundred forty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15497 15500 18600 23250 30994 31000 46491 46500 61988 77485 92982 93000 123976 154970 185964 232455 309940 371928 387425 464910 480407 619880 774850 929820 960814 1162275 1441221 1549700 1859640 1921628 1937125 2324550 2402035 2882442 3099400 3843256 3874250 4649100 4804070 5764884 5811375 7206105 7748500 9298200 9608140 11529768 11622750 12010175 14412210 15497000 19216280 23245500 24020350 28824420 36030525 46491000 48040700 57648840 60050875 72061050 96081400 120101750 144122100 180152625 240203500 288244200 360305250 480407000 720610500 1441221000