138974088960
138,974,088,960 is an even composite number composed of six prime numbers multiplied together.
138974088960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138974088960:
28 × 33 × 5 × 7 × 157 × 3659
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 157 × 3659)See below for interesting mathematical facts about the number 138974088960 from the Numbermatics database.
Names of 138974088960
- Cardinal: 138974088960 can be written as One hundred thirty-eight billion, nine hundred seventy-four million, eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3897408896 × 1011
Factors of 138974088960
Divisors of 138974088960
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 157 160 168 180 189 192 210 216 224 240 252 256 270 280 288 314 315 320 336 360 378 384 420 432 448 471 480 504 540 560 576 628 630 640 672 720 756 768 785 840 864 896 942 945 960 1008 1080 1099 1120 1152 1256 1260 1280 1344 1413 1440 1512 1570 1680 1728 1792 1884 1890 1920 2016 2160 2198 2240 2304 2355 2512 2520 2688 2826 2880 3024 3140 3297 3360 3456 3659 3768 3780 3840 4032 4239 4320 4396 4480 4710 5024 5040 5376 5495 5652 5760 6048 6280 6594 6720 6912 7065 7318 7536 7560 8064 8478 8640 8792 8960 9420 9891 10048 10080 10977 10990 11304 11520 12096 12560 13188 13440 14130 14636 15072 15120 16128 16485 16956 17280 17584 18295 18840 19782 20096 20160 21195 21954 21980 22608 24192 25120 25613 26376 26880 28260 29272 29673 30144 30240 32931 32970 33912 34560 35168 36590 37680 39564 40192 40320 42390 43908 43960 45216 48384 49455 50240 51226 52752 54885 56520 58544 59346 60288 60480 65862 65940 67824 70336 73180 75360 76839 79128 80640 84780 87816 87920 90432 98793 98910 100480 102452 105504 109770 113040 117088 118692 120576 120960 128065 131724 131880 135648 140672 146360 148365 150720 153678 158256 164655 169560 175632 175840 180864 197586 197820 200960 204904 211008 219540 226080 230517 234176 237384 241920 256130 263448 263760 271296 281344 292720 296730 301440 307356 316512 329310 339120 351264 351680 361728 384195 395172 395640 409808 422016 439080 452160 461034 468352 474768 493965 512260 526896 527520 542592 574463 585440 593460 602880 614712 633024 658620 678240 691551 702528 703360 768390 790344 791280 819616 844032 878160 904320 922068 936704 949536 987930 1024520 1053792 1055040 1085184 1148926 1152585 1170880 1186920 1229424 1266048 1317240 1356480 1383102 1405056 1406720 1536780 1580688 1582560 1639232 1723389 1756320 1808640 1844136 1899072 1975860 2049040 2107584 2110080 2297852 2305170 2341760 2373840 2458848 2532096 2634480 2712960 2766204 2810112 2872315 3073560 3161376 3165120 3278464 3446778 3457755 3512640 3688272 3798144 3951720 4021241 4098080 4215168 4220160 4595704 4610340 4683520 4747680 4917696 5170167 5268960 5425920 5532408 5744630 6147120 6322752 6330240 6556928 6893556 6915510 7025280 7376544 7596288 7903440 8042482 8196160 8430336 8616945 9191408 9220680 9495360 9835392 10340334 10537920 11064816 11489260 12063723 12294240 12645504 12660480 13787112 13831020 14050560 14753088 15510501 15806880 16084964 16392320 17233890 18382816 18441360 18990720 19670784 20106205 20680668 21075840 22129632 22978520 24127446 24588480 25291008 25850835 27574224 27662040 29506176 31021002 31613760 32169928 32784640 34467780 36191169 36765632 36882720 37981440 40212410 41361336 42151680 44259264 45957040 48254892 49176960 51701670 55148448 55324080 59012352 60318615 62042004 63227520 64339856 68935560 72382338 73531264 73765440 77552505 80424820 82722672 88518528 91914080 96509784 98353920 103403340 108573507 110296896 110648160 120637230 124084008 126455040 128679712 137871120 144764676 147062528 147530880 155105010 160849640 165445344 177037056 180955845 183828160 193019568 206806680 217147014 220593792 221296320 241274460 248168016 257359424 275742240 289529352 295061760 310210020 321699280 330890688 361911690 367656320 386039136 413613360 434294028 441187584 442592640 482548920 496336032 514718848 542867535 551484480 579058704 620420040 643398560 661781376 723823380 735312640 772078272 827226720 868588056 885185280 965097840 992672064 1029437696 1085735070 1102968960 1158117408 1240840080 1286797120 1323562752 1447646760 1544156544 1654453440 1737176112 1930195680 1985344128 2171470140 2205937920 2316234816 2481680160 2573594240 2895293520 3088313088 3308906880 3474352224 3860391360 3970688256 4342940280 4632469632 4963360320 5147188480 5790587040 6617813760 6948704448 7720782720 8685880560 9264939264 9926720640 11581174080 13897408896 15441565440 17371761120 19853441280 23162348160 27794817792 34743522240 46324696320 69487044480 138974088960
- Sum of all divisors σ(n): 567362073600
- Sum of proper divisors (its aliquot sum) s(n): 428387984640
- 138974088960 is an abundant number, because the sum of its proper divisors (428387984640) is greater than itself. Its abundance is 289413895680
Bases of 138974088960
- Binary: 100000010110111000000001001111000000002
- Hexadecimal: 0x205B804F00
- Base-36: 1RUDL1C0
Squares and roots of 138974088960
- 138974088960 squared (1389740889602) is 19313797402261993881600
- 138974088960 cubed (1389740889603) is 2684117398337375242928454107136000
-
The
square root of 138974088960 is 372792.2866154825 -
The
cube root of 138974088960 is 5179.7795725187
Scales and comparisons
How big is 138974088960?- 138,974,088,960 seconds is equal to 4,418 years, 49 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 138,974,088,960 would take you about eight thousand, eight hundred thirty-seven 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 138974088960 cubic inches would be around 431.6 feet tall.
Recreational maths with 138974088960
- 138974088960 backwards is 069880479831
- 138974088960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138974088960's digits is 63
- More coming soon!
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