138445032960
138,445,032,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138445032960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138445032960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138445032960:
29 × 32 × 5 × 13 × 563 × 821
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 563 × 821)See below for interesting mathematical facts about the number 138445032960 from the Numbermatics database.
Names of 138445032960
- Cardinal: 138445032960 can be written as One hundred thirty-eight billion, four hundred forty-five million, thirty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3844503296 × 1011
Factors of 138445032960
Divisors of 138445032960
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 468 480 512 520 563 576 585 624 640 720 768 780 821 832 936 960 1040 1126 1152 1170 1248 1280 1440 1536 1560 1642 1664 1689 1872 1920 2080 2252 2304 2340 2463 2496 2560 2815 2880 3120 3284 3328 3378 3744 3840 4105 4160 4504 4608 4680 4926 4992 5067 5630 5760 6240 6568 6656 6756 7319 7389 7488 7680 8210 8320 8445 9008 9360 9852 9984 10134 10673 11260 11520 12315 12480 13136 13512 14638 14778 14976 16420 16640 16890 18016 18720 19704 19968 20268 21346 21957 22520 23040 24630 24960 25335 26272 27024 29276 29556 29952 32019 32840 33280 33780 36032 36595 36945 37440 39408 40536 42692 43914 45040 49260 49920 50670 52544 53365 54048 58552 59112 59904 64038 65680 65871 67560 72064 73190 73890 74880 78816 81072 85384 87828 90080 96057 98520 99840 101340 105088 106730 108096 109785 117104 118224 128076 131360 131742 135120 144128 146380 147780 149760 157632 160095 162144 170768 175656 180160 192114 197040 202680 210176 213460 216192 219570 234208 236448 256152 262720 263484 270240 288256 292760 295560 299520 315264 320190 324288 329355 341536 351312 360320 384228 394080 405360 420352 426920 432384 439140 462223 468416 472896 480285 512304 525440 526968 540480 585520 591120 630528 640380 648576 658710 683072 702624 720640 768456 788160 810720 853840 864768 878280 924446 936832 945792 960570 1024608 1050880 1053936 1080960 1171040 1182240 1261056 1280760 1297152 1317420 1366144 1386669 1405248 1441280 1536912 1576320 1621440 1707680 1756560 1848892 1873664 1891584 1921140 2049216 2101760 2107872 2161920 2311115 2342080 2364480 2561520 2594304 2634840 2732288 2773338 2810496 3073824 3152640 3242880 3415360 3513120 3697784 3747328 3783168 3842280 4098432 4160007 4215744 4323840 4622230 4684160 4728960 5123040 5269680 5464576 5546676 5620992 6008899 6147648 6305280 6485760 6830720 6933345 7026240 7395568 7684560 8196864 8320014 8431488 9244460 9368320 9457920 10246080 10539360 11093352 11241984 12017798 12295296 12971520 13661440 13866690 14052480 14791136 15369120 16393728 16640028 16862976 18026697 18488920 18736640 18915840 20492160 20800035 21078720 22186704 24035596 24590592 27322880 27733380 28104960 29582272 30044495 30738240 33280056 33725952 36053394 36977840 40984320 41600070 42157440 44373408 48071192 49181184 54080091 55466760 56209920 59164544 60088990 61476480 66560112 72106788 73955680 81968640 83200140 84314880 88746816 90133485 96142384 108160182 110933520 118329088 120177980 122952960 133120224 144213576 147911360 166400280 168629760 177493632 180266970 192284768 216320364 221867040 236658176 240355960 245905920 266240448 270400455 288427152 295822720 332800560 354987264 360533940 384569536 432640728 443734080 480711920 532480896 540800910 576854304 591645440 665601120 709974528 721067880 769139072 865281456 887468160 961423840 1064961792 1081601820 1153708608 1183290880 1331202240 1442135760 1538278144 1730562912 1774936320 1922847680 2129923584 2163203640 2307417216 2662404480 2884271520 3076556288 3461125824 3549872640 3845695360 4326407280 4614834432 5324808960 5768543040 6922251648 7691390720 8652814560 9229668864 10649617920 11537086080 13844503296 15382781440 17305629120 23074172160 27689006592 34611258240 46148344320 69222516480 138445032960
- Sum of all divisors σ(n): 517903914528
- Sum of proper divisors (its aliquot sum) s(n): 379458881568
- 138445032960 is an abundant number, because the sum of its proper divisors (379458881568) is greater than itself. Its abundance is 241013848608
Bases of 138445032960
- Binary: 100000001110111111011110001110000000002
- Hexadecimal: 0x203BF78E00
- Base-36: 1RLMLJ40
Squares and roots of 138445032960
- 138445032960 squared (1384450329602) is 19167027151295486361600
- 138445032960 cubed (1384450329603) is 2653579705706318516030942478336000
-
The
square root of 138445032960 is 372082.0245053501 -
The
cube root of 138445032960 is 5173.1983018805
Scales and comparisons
How big is 138445032960?- 138,445,032,960 seconds is equal to 4,402 years, 6 weeks, 3 days, 1 hour, 36 minutes.
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To count from 1 to 138,445,032,960 would take you about eight thousand, eight hundred 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 138445032960 cubic inches would be around 431.1 feet tall.
Recreational maths with 138445032960
- 138445032960 backwards is 069230544831
- 138445032960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138445032960's digits is 45
- More coming soon!
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