1331484960
1,331,484,960 is an even composite number composed of seven prime numbers multiplied together.
1331484960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1331484960:
25 × 3 × 5 × 13 × 37 × 73 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 37 × 73 × 79)See below for interesting mathematical facts about the number 1331484960 from the Numbermatics database.
Names of 1331484960
- Cardinal: 1331484960 can be written as One billion, three hundred thirty-one million, four hundred eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.33148496 × 109
Factors of 1331484960
Divisors of 1331484960
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 37 39 40 48 52 60 65 73 74 78 79 80 96 104 111 120 130 146 148 156 158 160 185 195 208 219 222 237 240 260 292 296 312 316 365 370 390 395 416 438 444 474 480 481 520 555 584 592 624 632 730 740 780 790 876 888 948 949 962 1027 1040 1095 1110 1168 1184 1185 1248 1264 1443 1460 1480 1560 1580 1752 1776 1896 1898 1924 2054 2080 2190 2220 2336 2370 2405 2528 2701 2847 2886 2920 2923 2960 3081 3120 3160 3504 3552 3792 3796 3848 4108 4380 4440 4740 4745 4810 5135 5402 5694 5767 5772 5840 5846 5920 6162 6240 6320 7008 7215 7584 7592 7696 8103 8216 8760 8769 8880 9480 9490 9620 10270 10804 11388 11534 11544 11680 11692 12324 12640 13505 14235 14430 14615 15184 15392 15405 16206 16432 17301 17520 17538 17760 18960 18980 19240 20540 21608 22776 23068 23088 23384 24648 27010 28470 28835 28860 29230 30368 30810 32412 32864 34602 35040 35076 35113 37920 37960 37999 38480 40515 41080 43216 43845 45552 46136 46176 46768 49296 54020 56940 57670 57720 58460 61620 64824 69204 70152 70226 74971 75920 75998 76960 81030 82160 86432 86505 87690 91104 92272 93536 98592 105339 108040 113880 113997 115340 115440 116920 123240 129648 138408 140304 140452 149942 151840 151996 162060 164320 173010 175380 175565 184544 189995 210678 213379 216080 224913 227760 227994 230680 230880 233840 246480 259296 276816 280608 280904 299884 303992 324120 346020 350760 351130 374855 379990 421356 426758 432160 449826 455520 455988 461360 467680 492960 526695 553632 561808 569985 599768 607984 640137 648240 692040 701520 702260 749710 759980 842712 853516 899652 911976 922720 1053390 1066895 1123616 1124565 1139970 1199536 1215968 1280274 1296480 1384080 1403040 1404520 1499420 1519960 1685424 1707032 1799304 1823952 2106780 2133790 2249130 2279940 2399072 2560548 2768160 2773927 2809040 2998840 3039920 3200685 3370848 3414064 3598608 3647904 4213560 4267580 4498260 4559880 5121096 5547854 5618080 5997680 6079840 6401370 6828128 7197216 8321781 8427120 8535160 8996520 9119760 10242192 11095708 11995360 12802740 13869635 16643562 16854240 17070320 17993040 18239520 20484384 22191416 25605480 27739270 33287124 34140640 35986080 41608905 44382832 51210960 55478540 66574248 83217810 88765664 102421920 110957080 133148496 166435620 221914160 266296992 332871240 443828320 665742480 1331484960
- Sum of all divisors σ(n): 4761953280
- Sum of proper divisors (its aliquot sum) s(n): 3430468320
- 1331484960 is an abundant number, because the sum of its proper divisors (3430468320) is greater than itself. Its abundance is 2098983360
Bases of 1331484960
- Binary: 10011110101110011011001001000002
- Hexadecimal: 0x4F5CD920
- Base-36: M0QCDC
Squares and roots of 1331484960
- 1331484960 squared (13314849602) is 1772852198706201600
- 1331484960 cubed (13314849603) is 2360526038880238889127936000
-
The
square root of 1331484960 is 36489.5184950419 -
The
cube root of 1331484960 is 1100.1335815737
Scales and comparisons
How big is 1331484960?- 1,331,484,960 seconds is equal to 42 years, 17 weeks, 3 days, 16 hours, 56 minutes.
-
To count from 1 to 1,331,484,960 would take you about eighty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1331484960 cubic inches would be around 91.7 feet tall.
Recreational maths with 1331484960
- 1331484960 backwards is 0694841331
- 1331484960 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1331484960's digits is 39
- More coming soon!
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