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1441321440 = 253513317451
BaseRepresentation
bin101010111101000…
…1101000111100000
310201110002201022120
41111322031013200
510422434241230
6355004304240
750501013216
oct12572150740
93643081276
101441321440
1167a652149
12342842080
1319c7b8930
14d95cacb6
1586808310
hex55e8d1e0

1441321440 has 192 divisors, whose sum is σ = 5047805952. Its totient is φ = 343296000.

The previous prime is 1441321439. The next prime is 1441321459. The reversal of 1441321440 is 441231441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1441321440.

It is a congruent number.

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, 189715 + ... + 197165.

It is an arithmetic number, because the mean of its divisors is an integer number (26290656).

Almost surely, 21441321440 is an apocalyptic number.

1441321440 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 1441321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523902976).

1441321440 is an abundant number, since it is smaller than the sum of its proper divisors (3606484512).

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

1441321440 is a wasteful number, since it uses less digits than its factorization.

1441321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1441321440 is about 37964.7394301607. The cubic root of 1441321440 is about 1129.5885520084.

Adding to 1441321440 its reverse (441231441), we get a palindrome (1882552881).

It can be divided in two parts, 14413 and 21440, that added together give a palindrome (35853).

The spelling of 1441321440 in words is "one billion, four hundred forty-one million, three hundred twenty-one thousand, four hundred forty".