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1441104440 = 235314612521
BaseRepresentation
bin101010111100101…
…1000001000111000
310201102200200122112
41111321120020320
510422410320230
6354555511452
750466120446
oct12571301070
93642620575
101441104440
1167a514106
12342758588
1319c740c29
14d9571b96
15867b3d95
hex55e58238

1441104440 has 64 divisors (see below), whose sum is σ = 3355672320. Its totient is φ = 556416000.

The previous prime is 1441104437. The next prime is 1441104463. The reversal of 1441104440 is 444011441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570380 + ... + 572900.

It is an arithmetic number, because the mean of its divisors is an integer number (52432380).

Almost surely, 21441104440 is an apocalyptic number.

1441104440 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 1441104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677836160).

1441104440 is an abundant number, since it is smaller than the sum of its proper divisors (1914567880).

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

1441104440 is a wasteful number, since it uses less digits than its factorization.

1441104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1441104440 is about 37961.8814075383. The cubic root of 1441104440 is about 1129.5318602782.

Adding to 1441104440 its reverse (444011441), we get a palindrome (1885115881).

The spelling of 1441104440 in words is "one billion, four hundred forty-one million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 461 620 922 1240 1844 2305 2521 3688 4610 5042 9220 10084 12605 14291 18440 20168 25210 28582 50420 57164 71455 78151 100840 114328 142910 156302 285820 312604 390755 571640 625208 781510 1162181 1563020 2324362 3126040 4648724 5810905 9297448 11621810 23243620 36027611 46487240 72055222 144110444 180138055 288220888 360276110 720552220 1441104440