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1441004334 = 237118337579
BaseRepresentation
bin101010111100011…
…1111101100101110
310201102111121022220
41111320333230232
510422344114314
6354553420210
750465222550
oct12570775456
93642447286
101441004334
1167a455980
1234270a666
1319c7074b3
14d95474d0
15867943a9
hex55e3fb2e

1441004334 has 64 divisors (see below), whose sum is σ = 3636541440. Its totient is φ = 369767520.

The previous prime is 1441004329. The next prime is 1441004339. The reversal of 1441004334 is 4334001441.

It is an interprime number because it is at equal distance from previous prime (1441004329) and next prime (1441004339).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441004339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19557 + ... + 57135.

It is an arithmetic number, because the mean of its divisors is an integer number (56820960).

Almost surely, 21441004334 is an apocalyptic number.

1441004334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441004334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818270720).

1441004334 is an abundant number, since it is smaller than the sum of its proper divisors (2195537106).

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

1441004334 is a wasteful number, since it uses less digits than its factorization.

1441004334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37685.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1441004334 is about 37960.5628778078. The cubic root of 1441004334 is about 1129.5057054460.

Adding to 1441004334 its reverse (4334001441), we get a palindrome (5775005775).

The spelling of 1441004334 in words is "one billion, four hundred forty-one million, four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1162 1743 1826 2739 3486 5478 6391 12782 19173 37579 38346 75158 112737 225474 263053 413369 526106 789159 826738 1240107 1578318 2480214 2893583 3119057 5787166 6238114 8680749 9357171 17361498 18714342 21833399 34309627 43666798 65500197 68619254 102928881 131000394 205857762 240167389 480334778 720502167 1441004334