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1441231020 = 2232536721817
BaseRepresentation
bin101010111100111…
…0111000010101100
310201102221010021200
41111321313002230
510422423343040
6355002325500
750500155465
oct12571670254
93642833250
101441231020
1167a5a0219
123427b9890
1319c786728
14d95a5d6c
15867db630
hex55e770ac

1441231020 has 72 divisors (see below), whose sum is σ = 4383847104. Its totient is φ = 383263488.

The previous prime is 1441230943. The next prime is 1441231021. The reversal of 1441231020 is 201321441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1441230984 and 1441231002.

It is not an unprimeable number, because it can be changed into a prime (1441231021) by changing a digit.

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, 55152 + ... + 76968.

Almost surely, 21441231020 is an apocalyptic number.

1441231020 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 1441231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191923552).

1441231020 is an abundant number, since it is smaller than the sum of its proper divisors (2942616084).

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

1441231020 is a wasteful number, since it uses less digits than its factorization.

1441231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22199 (or 22194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1441231020 is about 37963.5485696477. The cubic root of 1441231020 is about 1129.5649302749.

Adding to 1441231020 its reverse (201321441), we get a palindrome (1642552461).

The spelling of 1441231020 in words is "one billion, four hundred forty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 11010 13212 16515 21817 22020 33030 43634 65451 66060 87268 109085 130902 196353 218170 261804 327255 392706 436340 654510 785412 981765 1309020 1963530 3927060 8006839 16013678 24020517 32027356 40034195 48041034 72061551 80068390 96082068 120102585 144123102 160136780 240205170 288246204 360307755 480410340 720615510 1441231020