138798070400
138,798,070,400 is an even composite number composed of seven prime numbers multiplied together.
138798070400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138798070400:
27 × 52 × 11 × 19 × 37 × 71 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 19 × 37 × 71 × 79)See below for interesting mathematical facts about the number 138798070400 from the Numbermatics database.
Names of 138798070400
- Cardinal: 138798070400 can be written as One hundred thirty-eight billion, seven hundred ninety-eight million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.387980704 × 1011
Factors of 138798070400
Divisors of 138798070400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 37 38 40 44 50 55 64 71 74 76 79 80 88 95 100 110 128 142 148 152 158 160 176 185 190 200 209 220 275 284 296 304 316 320 352 355 370 380 395 400 407 418 440 475 550 568 592 608 632 640 703 704 710 740 760 781 790 800 814 836 869 880 925 950 1045 1100 1136 1184 1216 1264 1349 1406 1408 1420 1480 1501 1520 1562 1580 1600 1628 1672 1738 1760 1775 1850 1900 1975 2035 2090 2200 2272 2368 2432 2528 2627 2698 2812 2840 2923 2960 3002 3040 3124 3160 3200 3256 3344 3476 3515 3520 3550 3700 3800 3905 3950 4070 4180 4345 4400 4544 4736 5056 5225 5254 5396 5609 5624 5680 5846 5920 6004 6080 6248 6320 6512 6688 6745 6952 7030 7040 7100 7400 7505 7600 7733 7810 7900 8140 8360 8690 8800 9088 10112 10175 10450 10508 10792 11218 11248 11360 11692 11840 12008 12160 12496 12640 13024 13135 13376 13490 13904 14060 14200 14615 14800 14839 15010 15200 15466 15620 15800 16280 16511 16720 17380 17575 17600 19525 20350 20900 21016 21584 21725 22436 22496 22720 23384 23680 24016 24992 25280 26048 26270 26752 26980 27808 28045 28120 28400 28897 29230 29600 29678 30020 30400 30932 31240 31600 32153 32560 33022 33440 33725 34760 35150 35200 37525 38665 39050 40700 41800 42032 43168 43450 44872 44992 45440 46768 48032 49913 49984 50560 52096 52540 53960 55537 55616 56090 56240 56800 57794 58460 59200 59356 60040 60800 61699 61864 62480 63200 64306 65120 65675 66044 66880 67450 69520 70300 73075 74195 75050 77330 78100 81400 82555 83600 84064 86336 86900 89744 89984 93536 96064 99826 99968 105080 106571 107920 111074 111232 112180 112480 113600 115588 116920 118400 118712 120080 123398 123728 124960 126400 128612 130240 131350 132088 133760 134900 139040 140225 140600 144485 146150 148390 150100 154660 156200 160765 162800 165110 167200 168128 172672 173800 179488 187072 192128 193325 199652 207533 210160 213142 215840 222148 224360 224960 227200 231176 233840 237424 240160 246796 247456 249565 249920 252800 257224 260480 262700 264176 269800 277685 278080 280450 281200 288970 292300 296780 300200 308495 309320 312400 321530 325600 330220 334400 336256 347600 358976 370975 374144 386650 399304 412775 415066 420320 426284 431680 444296 448720 449920 462352 467680 474848 480320 493592 494912 499130 499840 514448 525400 528352 532855 539600 549043 555370 556160 560900 562400 577940 584600 593560 600400 610907 616990 618640 624800 643060 651200 660440 668800 695200 717952 722425 741950 773300 798608 803825 825550 830132 840640 852568 863360 888592 897440 924704 935360 949696 960640 987184 989824 998260 1028896 1037665 1050800 1056704 1065710 1079200 1098086 1110740 1121800 1124800 1155880 1169200 1172281 1187120 1200800 1221814 1233980 1237280 1247825 1249600 1286120 1302400 1320880 1388425 1390400 1444850 1483900 1542475 1546600 1597216 1607650 1651100 1660264 1681280 1705136 1777184 1794880 1849408 1870720 1899392 1974368 1996520 2057792 2075330 2101600 2113408 2131420 2158400 2196172 2221480 2243600 2249600 2282863 2311760 2338400 2344562 2374240 2401600 2443628 2467960 2474560 2495650 2499200 2572240 2641760 2664275 2745215 2776850 2780800 2889700 2967800 3054535 3084950 3093200 3194432 3215300 3302200 3320528 3410272 3554368 3589760 3698816 3943127 3948736 3993040 4115584 4150660 4203200 4262840 4316800 4392344 4442960 4487200 4565726 4623520 4676800 4689124 4748480 4803200 4887256 4935920 4949120 4991300 5144480 5188325 5283520 5328550 5490430 5553700 5779400 5861405 5935600 6109070 6169900 6186400 6388864 6430600 6604400 6641056 6820544 7108736 7886254 7897472 7986080 8301320 8406400 8525680 8784688 8885920 8974400 9131452 9247040 9353600 9378248 9496960 9774512 9871840 9982600 10288960 10376650 10567040 10657100 10980860 11107400 11414315 11558800 11722810 11871200 12218140 12339800 12372800 12861200 13208800 13282112 13641088 13726075 15272675 15772508 15972160 16602640 17051360 17569376 17771840 17948800 18262904 18494080 18756496 19549024 19715635 19743680 19965200 20577920 20753300 21314200 21961720 22214800 22828630 23117600 23445620 23742400 24436280 24679600 24745600 25722400 26417600 26564224 27452150 29307025 30545350 31545016 31944320 33205280 34102720 35138752 35543680 36525808 37512992 39098048 39431270 39487360 39930400 41506600 42628400 43374397 43923440 44429600 45657260 46235200 46891240 47484800 48872560 49359200 51444800 52835200 54904300 57071575 58614050 61090700 63090032 66410560 68205440 70277504 73051616 75025984 78196096 78862540 79860800 83013200 85256800 86748794 87846880 88859200 91314520 92470400 93782480 97745120 98578175 98718400 102889600 109808600 114143150 117228100 122181400 126180064 132821120 146103232 150051968 157725080 159721600 166026400 170513600 173497588 175693760 177718400 182629040 187564960 195490240 197156350 197436800 216871985 219617200 228286300 234456200 244362800 252360128 292206464 315450160 332052800 341027200 346995176 351387520 365258080 375129920 390980480 394312700 433743970 439234400 456572600 468912400 488725600 504720256 630900320 664105600 693990352 730516160 750259840 788625400 867487940 878468800 913145200 937824800 977451200 1084359925 1261800640 1387980704 1461032320 1577250800 1734975880 1756937600 1826290400 1875649600 1954902400 2168719850 2523601280 2775961408 3154501600 3469951760 3652580800 3751299200 4337439700 5551922816 6309003200 6939903520 7305161600 8674879400 12618006400 13879807040 17349758800 27759614080 34699517600 69399035200 138798070400
- Sum of all divisors σ(n): 415259136000
- Sum of proper divisors (its aliquot sum) s(n): 276461065600
- 138798070400 is an abundant number, because the sum of its proper divisors (276461065600) is greater than itself. Its abundance is 137662995200
Bases of 138798070400
- Binary: 100000010100010000001001111010100000002
- Hexadecimal: 0x2051027A80
- Base-36: 1RRGSCJK
Squares and roots of 138798070400
- 138798070400 squared (1387980704002) is 19264904346763356160000
- 138798070400 cubed (1387980704003) is 2673931549771326320435953664000000
-
The
square root of 138798070400 is 372556.1305360577 -
The
cube root of 138798070400 is 5177.5918204907
Scales and comparisons
How big is 138798070400?- 138,798,070,400 seconds is equal to 4,413 years, 18 weeks, 1 day, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,798,070,400 would take you about eight thousand, eight hundred twenty-six 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 138798070400 cubic inches would be around 431.5 feet tall.
Recreational maths with 138798070400
- 138798070400 backwards is 004070897831
- The number of decimal digits it has is: 12
- The sum of 138798070400's digits is 47
- More coming soon!
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