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1441105540 = 2257194711527
BaseRepresentation
bin101010111100101…
…1000011010000100
310201102200202011021
41111321120122010
510422410334130
6354555520524
750466123610
oct12571303204
93642622137
101441105540
1167a514a16
12342759144
1319c741594
14d9572340
15867b437a
hex55e58684

1441105540 has 96 divisors (see below), whose sum is σ = 3718471680. Its totient is φ = 458089344.

The previous prime is 1441105517. The next prime is 1441105553. The reversal of 1441105540 is 455011441.

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, 119257 + ... + 130783.

It is an arithmetic number, because the mean of its divisors is an integer number (38734080).

Almost surely, 21441105540 is an apocalyptic number.

1441105540 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 1441105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859235840).

1441105540 is an abundant number, since it is smaller than the sum of its proper divisors (2277366140).

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

1441105540 is a wasteful number, since it uses less digits than its factorization.

1441105540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1441105540 is about 37961.8958957532. The cubic root of 1441105540 is about 1129.5321476700.

Adding to 1441105540 its reverse (455011441), we get a palindrome (1896116981).

The spelling of 1441105540 in words is "one billion, four hundred forty-one million, one hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 47 70 76 94 95 133 140 188 190 235 266 329 380 470 532 658 665 893 940 1316 1330 1645 1786 2660 3290 3572 4465 6251 6580 8930 11527 12502 17860 23054 25004 31255 46108 57635 62510 80689 115270 125020 161378 219013 230540 322756 403445 438026 541769 806890 876052 1083538 1095065 1533091 1613780 2167076 2190130 2708845 3066182 3792383 4380260 5417690 6132364 7584766 7665455 10293611 10835380 15169532 15330910 18961915 20587222 30661820 37923830 41174444 51468055 72055277 75847660 102936110 144110554 205872220 288221108 360276385 720552770 1441105540