Search a number
-
+
1441096488 = 2333134571123
BaseRepresentation
bin101010111100101…
…0110001100101000
310201102200021202000
41111321112030220
510422410041423
6354555411000
750466055326
oct12571261450
93642607660
101441096488
1167a509137
12342753a60
1319c73a420
14d956cd16
15867b1843
hex55e56328

1441096488 has 128 divisors (see below), whose sum is σ = 4324252800. Its totient is φ = 442050048.

The previous prime is 1441096399. The next prime is 1441096493. The reversal of 1441096488 is 8846901441.

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, 1282695 + ... + 1283817.

It is an arithmetic number, because the mean of its divisors is an integer number (33783225).

Almost surely, 21441096488 is an apocalyptic number.

1441096488 is a gapful number since it is divisible by the number (18) 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 1441096488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162126400).

1441096488 is an abundant number, since it is smaller than the sum of its proper divisors (2883156312).

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

1441096488 is a wasteful number, since it uses less digits than its factorization.

1441096488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1441096488 is about 37961.7766707513. The cubic root of 1441096488 is about 1129.5297826925.

The spelling of 1441096488 in words is "one billion, four hundred forty-one million, ninety-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 457 468 702 914 936 1123 1371 1404 1828 2246 2742 2808 3369 3656 4113 4492 5484 5941 6738 8226 8984 10107 10968 11882 12339 13476 14599 16452 17823 20214 23764 24678 26952 29198 30321 32904 35646 40428 43797 47528 49356 53469 58396 60642 71292 80856 87594 98712 106938 116792 121284 131391 142584 160407 175188 213876 242568 262782 320814 350376 394173 427752 513211 525564 641628 788346 1026422 1051128 1283256 1539633 1576692 2052844 3079266 3153384 4105688 4618899 6158532 6671743 9237798 12317064 13343486 13856697 18475596 20015229 26686972 27713394 36951192 40030458 53373944 55426788 60045687 80060916 110853576 120091374 160121832 180137061 240182748 360274122 480365496 720548244 1441096488