Search a number
-
+
1441357764 = 2237114336277
BaseRepresentation
bin101010111101001…
…0101111111000100
310201110011120010220
41111322111333010
510422441422024
6355005144340
750501224140
oct12572257704
93643146126
101441357764
1167a677470
1234285b0b0
1319c7cc322
14d95da220
1586813e79
hex55e95fc4

1441357764 has 96 divisors (see below), whose sum is σ = 4290671616. Its totient is φ = 365662080.

The previous prime is 1441357751. The next prime is 1441357777. The reversal of 1441357764 is 4677531441.

It is an interprime number because it is at equal distance from previous prime (1441357751) and next prime (1441357777).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 21594 + ... + 57870.

It is an arithmetic number, because the mean of its divisors is an integer number (44694496).

Almost surely, 21441357764 is an apocalyptic number.

1441357764 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 1441357764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145335808).

1441357764 is an abundant number, since it is smaller than the sum of its proper divisors (2849313852).

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

1441357764 is a wasteful number, since it uses less digits than its factorization.

1441357764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36345 (or 36343 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 1441357764 is about 37965.2178184190. The cubic root of 1441357764 is about 1129.5980411778.

The spelling of 1441357764 in words is "one billion, four hundred forty-one million, three hundred fifty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1204 1419 1806 1892 2838 3311 3612 5676 6622 9933 13244 19866 36277 39732 72554 108831 145108 217662 253939 399047 435324 507878 761817 798094 1015756 1197141 1523634 1559911 1596188 2394282 2793329 3047268 3119822 4679733 4788564 5586658 6239644 8379987 9359466 10919377 11173316 16759974 17159021 18718932 21838754 32758131 33519948 34318042 43677508 51477063 65516262 68636084 102954126 120113147 131032524 205908252 240226294 360339441 480452588 720678882 1441357764