13742838151920
13,742,838,151,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13742838151920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
13742838151920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13742838151920:
24 × 32 × 5 × 37 × 61 × 433 × 19531
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 61 × 433 × 19531)See below for interesting mathematical facts about the number 13742838151920 from the Numbermatics database.
Names of 13742838151920
- Cardinal: 13742838151920 can be written as Thirteen trillion, seven hundred forty-two billion, eight hundred thirty-eight million, one hundred fifty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.374283815192 × 1013
Factors of 13742838151920
Divisors of 13742838151920
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 61 72 74 80 90 111 120 122 144 148 180 183 185 222 240 244 296 305 333 360 366 370 433 444 488 549 555 592 610 666 720 732 740 866 888 915 976 1098 1110 1220 1299 1332 1464 1480 1665 1732 1776 1830 2165 2196 2220 2257 2440 2598 2664 2745 2928 2960 3330 3464 3660 3897 4330 4392 4440 4514 4880 5196 5328 5490 6495 6660 6771 6928 7320 7794 8660 8784 8880 9028 10392 10980 11285 12990 13320 13542 14640 15588 16021 17320 18056 19485 19531 20313 20784 21960 22570 25980 26413 26640 27084 31176 32042 33855 34640 36112 38970 39062 40626 43920 45140 48063 51960 52826 54168 58593 62352 64084 67710 77940 78124 79239 80105 81252 90280 96126 97655 101565 103920 105652 108336 117186 128168 132065 135420 144189 155880 156248 158478 160210 162504 175779 180560 192252 195310 203130 211304 234372 237717 240315 256336 264130 270840 288378 292965 311760 312496 316956 320420 325008 351558 384504 390620 396195 406260 422608 468744 475434 480630 528260 541680 576756 585930 633912 640840 703116 720945 722647 769008 781240 792390 812520 878895 937488 950868 961260 977281 1056520 1153512 1171860 1188585 1191391 1267824 1281680 1406232 1441890 1445294 1562480 1584780 1625040 1757790 1901736 1922520 1954562 2113040 2167941 2307024 2343720 2377170 2382782 2812464 2883780 2890588 2931843 3169560 3515580 3574173 3613235 3803472 3845040 3909124 4335882 4687440 4754340 4765564 4886405 5767560 5781176 5863686 5956955 6339120 6503823 7031160 7148346 7226470 7818248 8456923 8671764 8795529 9508680 9531128 9772810 10722519 10839705 11535120 11562352 11727372 11913910 13007646 14062320 14296692 14452940 14659215 15636496 16913846 17343528 17591058 17870865 19017360 19062256 19545620 21445038 21679410 23454744 23827820 25370769 26015292 28593384 28905880 29318430 32519115 33827692 34687056 35182116 35741730 39091240 42284615 42890076 43358820 43977645 44081467 46909488 47655640 50741538 52030584 53612595 57186768 57811760 58636860 65038230 67655384 70364232 71483460 76112307 78182480 84569230 85780152 86717640 87955290 88162934 95311280 101483076 104061168 107225190 117273720 126853845 130076460 132244401 135310768 140728464 142966920 152224614 169138460 171560304 173435280 175910580 176325868 202966152 214450380 220407335 234547440 253707690 260152920 264488802 285933840 304449228 312906151 338276920 351821160 352651736 380561535 396733203 405932304 428900760 440814670 507415380 515872303 520305840 528977604 608898456 625812302 661222005 676553840 703642320 705303472 761123070 793466406 857801520 881629340 938718453 1014830760 1031744606 1057955208 1217796912 1251624604 1322444010 1522246140 1547616909 1564530755 1586932812 1763258680 1877436906 1983666015 2029661520 2063489212 2115910416 2503249208 2579361515 2644888020 2816155359 3044492280 3095233818 3129061510 3173865624 3526517360 3754873812 3967332030 4126978424 4642850727 4693592265 5006498416 5158723030 5289776040 5632310718 6088984560 6190467636 6258123020 6347731248 7509747624 7738084545 7934664060 8253956848 9285701454 9387184530 10317446060 10579552080 11264621436 12380935272 12516246040 14080776795 15019495248 15476169090 15869328120 18571402908 18774369060 19087275211 20634892120 22529242872 23214253635 24761870544 25032492080 28161553590 30952338180 31738656240 37142805816 37548738120 38174550422 41269784240 45058485744 46428507270 56323107180 57261825633 61904676360 74285611632 75097476240 76349100844 92857014540 95436376055 112646214360 114523651266 123809352720 152698201688 171785476899 185714029080 190872752110 225292428720 229047302532 286309128165 305396403376 343570953798 371428058160 381745504220 458094605064 572618256330 687141907596 763491008440 858927384495 916189210128 1145236512660 1374283815192 1526982016880 1717854768990 2290473025320 2748567630384 3435709537980 4580946050640 6871419075960 13742838151920
- Sum of all divisors σ(n): 48291203373504
- Sum of proper divisors (its aliquot sum) s(n): 34548365221584
- 13742838151920 is an abundant number, because the sum of its proper divisors (34548365221584) is greater than itself. Its abundance is 20805527069664
Bases of 13742838151920
- Binary: 110001111111110000001111110001111010111100002
- Hexadecimal: 0xC7FC0FC7AF0
- Base-36: 4VDDF07W0
Squares and roots of 13742838151920
- 13742838151920 squared (137428381519202) is 188865600469867920999686400
- 13742838151920 cubed (137428381519203) is 2595549379722580743077822804275557888000
-
The
square root of 13742838151920 is 3707133.4143674949 -
The
cube root of 13742838151920 is 23952.9391179575
Scales and comparisons
How big is 13742838151920?- 13,742,838,151,920 seconds is equal to 436,979 years, 38 weeks, 4 days, 18 hours, 12 minutes.
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To count from 1 to 13,742,838,151,920 would take you about one million, ninety-two thousand, four hundred forty-nine 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 13742838151920 cubic inches would be around 1996.1 feet tall.
Recreational maths with 13742838151920
- 13742838151920 backwards is 02915183824731
- The number of decimal digits it has is: 14
- The sum of 13742838151920's digits is 54
- More coming soon!
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