Search a number
-
+
1441949300 = 2252119371399
BaseRepresentation
bin101010111110010…
…0110011001110100
310201111021121120122
41111330212121310
510423114334200
6355025551112
750506236551
oct12574463164
93644247518
101441949300
1167aa40940
12342aa5498
1319c97864c
14d9711a28
15868ce385
hex55f26674

1441949300 has 72 divisors (see below), whose sum is σ = 3419572800. Its totient is φ = 523411200.

The previous prime is 1441949287. The next prime is 1441949303. The reversal of 1441949300 is 39491441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441949303) 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 23 ways as a sum of consecutive naturals, for example, 1030001 + ... + 1031399.

Almost surely, 21441949300 is an apocalyptic number.

1441949300 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 1441949300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709786400).

1441949300 is an abundant number, since it is smaller than the sum of its proper divisors (1977623500).

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

1441949300 is a wasteful number, since it uses less digits than its factorization.

1441949300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1441949300 is about 37973.0075184992. The cubic root of 1441949300 is about 1129.7525497794.

The spelling of 1441949300 in words is "one billion, four hundred forty-one million, nine hundred forty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 937 1100 1399 1874 2798 3748 4685 5596 6995 9370 10307 13990 15389 18740 20614 23425 27980 30778 34975 41228 46850 51535 61556 69950 76945 93700 103070 139900 153890 206140 257675 307780 384725 515350 769450 1030700 1310863 1538900 2621726 5243452 6554315 13108630 14419493 26217260 28838986 32771575 57677972 65543150 72097465 131086300 144194930 288389860 360487325 720974650 1441949300