138506797260800
138,506,797,260,800 is an even composite number composed of six prime numbers multiplied together.
138506797260800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138506797260800:
213 × 52 × 17 × 97 × 337 × 1217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 97 × 337 × 1217)See below for interesting mathematical facts about the number 138506797260800 from the Numbermatics database.
Names of 138506797260800
- Cardinal: 138506797260800 can be written as One hundred thirty-eight trillion, five hundred six billion, seven hundred ninety-seven million, two hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385067972608 × 1014
Factors of 138506797260800
Divisors of 138506797260800
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 97 100 128 136 160 170 194 200 256 272 320 337 340 388 400 425 485 512 544 640 674 680 776 800 850 970 1024 1088 1217 1280 1348 1360 1552 1600 1649 1685 1700 1940 2048 2176 2425 2434 2560 2696 2720 3104 3200 3298 3370 3400 3880 4096 4352 4850 4868 5120 5392 5440 5729 6085 6208 6400 6596 6740 6800 7760 8192 8245 8425 8704 9700 9736 10240 10784 10880 11458 12170 12416 12800 13192 13480 13600 15520 16490 16850 17408 19400 19472 20480 20689 21568 21760 22916 24340 24832 25600 26384 26960 27200 28645 30425 31040 32689 32980 33700 34816 38800 38944 40960 41225 41378 43136 43520 45832 48680 49664 51200 52768 53920 54400 57290 60850 62080 65378 65960 67400 69632 77600 77888 82450 82756 86272 87040 91664 97360 99328 102400 103445 105536 107840 108800 114580 118049 121700 124160 130756 131920 134800 139264 143225 155200 155776 163445 164900 165512 172544 174080 183328 194720 198656 204800 206890 211072 215680 217600 229160 236098 243400 248320 261512 263840 269600 286450 310400 311552 326890 329800 331024 345088 348160 366656 389440 397312 410129 413780 422144 431360 435200 458320 472196 486800 496640 517225 523024 527680 539200 555713 572900 590245 620800 623104 653780 659600 662048 690176 696320 733312 778880 794624 817225 820258 827560 844288 862720 870400 916640 944392 973600 993280 1034450 1046048 1055360 1078400 1111426 1145800 1180490 1241600 1246208 1307560 1319200 1324096 1380352 1466624 1557760 1634450 1640516 1655120 1688576 1725440 1740800 1833280 1888784 1947200 1986560 2006833 2050645 2068900 2092096 2110720 2156800 2222852 2291600 2360980 2483200 2492416 2615120 2638400 2648192 2760704 2778565 2933248 2951225 3115520 3268900 3281032 3310240 3377152 3450880 3481600 3666560 3777568 3894400 3973120 4013666 4101290 4137800 4184192 4221440 4313600 4445704 4583200 4721960 4966400 4984832 5230240 5276800 5296384 5557130 5866496 5902450 6231040 6537800 6562064 6620480 6754304 6901760 6972193 7333120 7555136 7788800 8027332 8202580 8275600 8368384 8442880 8627200 8891408 9166400 9443920 9932800 9969664 10034165 10253225 10460480 10553600 10592768 11114260 11732992 11804900 12462080 13075600 13124128 13240960 13508608 13803520 13892825 13944386 14666240 15110272 15577600 16054664 16405160 16551200 16736768 16885760 17254400 17782816 18332800 18887840 19865600 20068330 20506450 20920960 21107200 21185536 22228520 23465984 23609800 24924160 26151200 26248256 26481920 27785650 27888772 29332480 30220544 31155200 32109328 32810320 33102400 33473536 33771520 34508800 34860965 35565632 36665600 37775680 39782513 40136660 41012900 41841920 42214400 42371072 44457040 46931968 47219600 49848320 50170825 52302400 52496512 52963840 55571300 55777544 58664960 60441088 62310400 64218656 65620640 66204800 66947072 67543040 69017600 69721930 71131264 73331200 75551360 79565026 80273320 82025800 83683840 84428800 84742144 88914080 94439200 100341650 104604800 104993024 105927680 111142600 111555088 117329920 120882176 124620800 128437312 131241280 132409600 133894144 139443860 142262528 146662400 151102720 159130052 160546640 164051600 167367680 168857600 169484288 174304825 177828160 188878400 198912565 200683300 209209600 209986048 211855360 222285200 223110176 234659840 241764352 249241600 256874624 262482560 264819200 267788288 278887720 284525056 293324800 302205440 318260104 321093280 328103200 334735360 337715200 348609650 355656320 377756800 397825130 401366600 418419200 419972096 423710720 444570400 446220352 483528704 513749248 524965120 529638400 557775440 569050112 586649600 604410880 636520208 642186560 656206400 669470720 676302721 697219300 711312640 755513600 795650260 802733200 836838400 839944192 847421440 889140800 892440704 967057408 994562825 1027498496 1049930240 1059276800 1115550880 1138100224 1173299200 1208821760 1273040416 1284373120 1312412800 1338941440 1352605442 1394438600 1422625280 1511027200 1591300520 1605466400 1673676800 1679888384 1778281600 1784881408 1989125650 2054996992 2099860480 2118553600 2231101760 2276200448 2417643520 2546080832 2568746240 2624825600 2705210884 2788877200 2845250560 3022054400 3182601040 3210932800 3347353600 3359776768 3381513605 3556563200 3569762816 3978251300 4109993984 4199720960 4237107200 4462203520 4552400896 4835287040 5092161664 5137492480 5249651200 5410421768 5577754400 5690501120 6044108800 6365202080 6421865600 6694707200 6763027210 7113126400 7139525632 7956502600 8219987968 8399441920 8924407040 10184323328 10274984960 10499302400 10820843536 11155508800 11381002240 12088217600 12730404160 12843731200 13526054420 14226252800 14279051264 15913005200 16439975936 16798883840 16907568025 17848814080 20368646656 20549969920 20998604800 21641687072 22311017600 22762004480 24176435200 25460808320 25687462400 27052108840 28452505600 28558102528 31826010400 33815136050 35697628160 40737293312 41099939840 41997209600 43283374144 44622035200 50921616640 51374924800 54104217680 56905011200 57116205056 63652020800 67630272100 71395256320 81474586624 82199879680 83994419200 86566748288 89244070400 101843233280 102749849600 108208435360 113810022400 127304041600 135260544200 142790512640 162949173248 173133496576 178488140800 203686466560 205499699200 216416870720 254608083200 270521088400 285581025280 325898346496 346266993152 356976281600 407372933120 410999398400 432833741440 509216166400 541042176800 692533986304 713952563200 814745866240 865667482880 1018432332800 1082084353600 1385067972608 1427905126400 1629491732480 1731334965760 2036864665600 2164168707200 2770135945216 3462669931520 4073729331200 4328337414400 5540271890432 6925339863040 8147458662400 8656674828800 13850679726080 17313349657600 27701359452160 34626699315200 69253398630400 138506797260800
- Sum of all divisors σ(n): 368822743864848
- Sum of proper divisors (its aliquot sum) s(n): 230315946604048
- 138506797260800 is an abundant number, because the sum of its proper divisors (230315946604048) is greater than itself. Its abundance is 91809149343248
Bases of 138506797260800
- Binary: 111110111111000101000000111001100100000000000002
- Hexadecimal: 0x7DF8A0732000
- Base-36: 1D3H56Y6M8
Squares and roots of 138506797260800
- 138506797260800 squared (1385067972608002) is 19184132887444354383216640000
- 138506797260800 cubed (1385067972608003) is 2657132804465500898397734986644979712000000
-
The
square root of 138506797260800 is 11768891.0803354791 -
The
cube root of 138506797260800 is 51739.6749156161
Scales and comparisons
How big is 138506797260800?- 138,506,797,260,800 seconds is equal to 4,404,087 years, 37 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,506,797,260,800 would take you about eleven million, ten thousand, two hundred nineteen 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 138506797260800 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138506797260800
- 138506797260800 backwards is 008062797605831
- The number of decimal digits it has is: 15
- The sum of 138506797260800's digits is 62
- More coming soon!
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