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1441312260 = 2235192295521
BaseRepresentation
bin101010111101000…
…1010111000000100
310201110002020201120
41111322022320010
510422433443020
6355004153540
750500644363
oct12572127004
93643066646
101441312260
1167a646263
123428388b0
1319c7b46bb
14d95c77da
1586805740
hex55e8ae04

1441312260 has 96 divisors (see below), whose sum is σ = 4267401600. Its totient is φ = 362465280.

The previous prime is 1441312193. The next prime is 1441312289. The reversal of 1441312260 is 622131441.

It is a self number, because there is not a number n which added to its sum of digits gives 1441312260.

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, 258300 + ... + 263820.

It is an arithmetic number, because the mean of its divisors is an integer number (44452100).

Almost surely, 21441312260 is an apocalyptic number.

1441312260 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 1441312260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133700800).

1441312260 is an abundant number, since it is smaller than the sum of its proper divisors (2826089340).

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

1441312260 is a wasteful number, since it uses less digits than its factorization.

1441312260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1441312260 is about 37964.6185283087. The cubic root of 1441312260 is about 1129.5861538283.

The spelling of 1441312260 in words is "one billion, four hundred forty-one million, three hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 229 285 380 458 570 687 916 1140 1145 1374 2290 2748 3435 4351 4580 5521 6870 8702 11042 13053 13740 16563 17404 21755 22084 26106 27605 33126 43510 52212 55210 65265 66252 82815 87020 104899 110420 130530 165630 209798 261060 314697 331260 419596 524495 629394 1048990 1258788 1264309 1573485 2097980 2528618 3146970 3792927 5057236 6293940 6321545 7585854 12643090 15171708 18964635 24021871 25286180 37929270 48043742 72065613 75858540 96087484 120109355 144131226 240218710 288262452 360328065 480437420 720656130 1441312260