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1441066704 = 2437111920521
BaseRepresentation
bin101010111100100…
…1110111011010000
310201102121202212220
41111321032323100
510422403113304
6354555021040
750465602440
oct12571167320
93642552786
101441066704
1167a498820
1234273a780
1319c7299bc
14d9562120
15867a7ad9
hex55e4eed0

1441066704 has 160 divisors (see below), whose sum is σ = 4885877760. Its totient is φ = 354585600.

The previous prime is 1441066663. The next prime is 1441066709. The reversal of 1441066704 is 4076601441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441066709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59964 + ... + 80484.

It is an arithmetic number, because the mean of its divisors is an integer number (30536736).

Almost surely, 21441066704 is an apocalyptic number.

1441066704 is a gapful number since it is divisible by the number (14) 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 1441066704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442938880).

1441066704 is an abundant number, since it is smaller than the sum of its proper divisors (3444811056).

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

1441066704 is a wasteful number, since it uses less digits than its factorization.

1441066704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569 (or 20563 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1441066704 is about 37961.3843793927. The cubic root of 1441066704 is about 1129.5220010839.

The spelling of 1441066704 in words is "one billion, four hundred forty-one million, sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 20521 23408 35112 41042 61563 70224 82084 123126 143647 164168 225731 246252 287294 328336 389899 430941 451462 492504 574588 677193 779798 861882 902924 985008 1149176 1169697 1354386 1559596 1580117 1723764 1805848 2298352 2339394 2708772 2729293 3119192 3160234 3447528 3611696 4288889 4678788 4740351 5417544 5458586 6238384 6320468 6895056 8187879 8577778 9357576 9480702 10835088 10917172 12640936 12866667 16375758 17155556 18715152 18961404 21834344 25281872 25733334 30022223 32751516 34311112 37922808 43668688 51466668 60044446 65503032 68622224 75845616 90066669 102933336 120088892 131006064 180133338 205866672 240177784 360266676 480355568 720533352 1441066704