138307019136000
138,307,019,136,000 is an even composite number composed of seven prime numbers multiplied together.
138307019136000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138307019136000:
210 × 3 × 53 × 112 × 13 × 17 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 17 × 13469)See below for interesting mathematical facts about the number 138307019136000 from the Numbermatics database.
Names of 138307019136000
- Cardinal: 138307019136000 can be written as One hundred thirty-eight trillion, three hundred seven billion, nineteen million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38307019136 × 1014
Factors of 138307019136000
Divisors of 138307019136000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 110 120 121 125 128 130 132 136 143 150 156 160 165 170 176 187 192 195 200 204 208 220 221 240 242 250 255 256 260 264 272 275 286 300 312 320 325 330 340 352 363 374 375 384 390 400 408 416 425 429 440 442 480 484 500 510 512 520 528 544 550 561 572 600 605 624 640 650 660 663 680 704 715 726 748 750 768 780 800 816 825 832 850 858 880 884 935 960 968 975 1000 1020 1024 1040 1056 1088 1100 1105 1122 1144 1200 1210 1248 1275 1280 1300 1320 1326 1360 1375 1408 1430 1452 1496 1500 1536 1560 1573 1600 1625 1632 1650 1664 1700 1716 1760 1768 1815 1870 1920 1936 1950 2000 2040 2057 2080 2112 2125 2145 2176 2200 2210 2244 2288 2400 2420 2431 2496 2550 2560 2600 2640 2652 2720 2750 2805 2816 2860 2904 2992 3000 3025 3072 3120 3146 3200 3250 3264 3300 3315 3328 3400 3432 3520 3536 3575 3630 3740 3840 3872 3900 4000 4080 4114 4125 4160 4224 4250 4290 4352 4400 4420 4488 4576 4675 4719 4800 4840 4862 4875 4992 5100 5120 5200 5280 5304 5440 5500 5525 5610 5632 5720 5808 5984 6000 6050 6171 6240 6292 6375 6400 6500 6528 6600 6630 6656 6800 6864 7040 7072 7150 7260 7293 7480 7680 7744 7800 7865 8000 8160 8228 8250 8320 8448 8500 8580 8704 8800 8840 8976 9075 9152 9350 9438 9600 9680 9724 9750 9984 10200 10285 10400 10560 10608 10725 10880 11000 11050 11220 11264 11440 11616 11968 12000 12100 12155 12342 12480 12584 12750 12800 13000 13056 13200 13260 13312 13469 13600 13728 14025 14080 14144 14300 14520 14586 14960 15125 15360 15488 15600 15730 16000 16320 16456 16500 16575 16640 16896 17000 17160 17408 17600 17680 17875 17952 18150 18304 18700 18876 19200 19360 19448 19500 19968 20400 20570 20800 21120 21216 21450 21760 22000 22100 22440 22880 23232 23375 23595 23936 24000 24200 24310 24684 24960 25168 25500 25600 26000 26112 26400 26520 26741 26938 27200 27456 27625 28050 28160 28288 28600 29040 29172 29920 30250 30855 30976 31200 31460 32000 32640 32912 33000 33150 33280 33792 34000 34320 35200 35360 35750 35904 36300 36465 36608 37400 37752 38400 38720 38896 39000 39325 39936 40407 40800 41140 41600 42240 42432 42900 43520 44000 44200 44880 45375 45760 46464 46750 47190 47872 48000 48400 48620 49368 49920 50336 51000 51425 52000 52224 52800 53040 53482 53625 53876 54400 54912 55250 56100 56320 56576 57200 58080 58344 59840 60500 60775 61710 61952 62400 62920 64000 65280 65824 66000 66300 66560 67345 68000 68640 70125 70400 70720 71500 71808 72600 72930 73216 74800 75504 76800 77440 77792 78000 78650 80223 80814 81600 82280 82875 83200 84480 84864 85800 87040 88000 88400 89760 90750 91520 92928 93500 94380 95744 96000 96800 97240 98736 99840 100672 102000 102850 104000 105600 106080 106964 107250 107752 108800 109824 110500 112200 113152 114400 116160 116688 117975 119680 121000 121550 123420 123904 124800 125840 128000 130560 131648 132000 132600 133705 134690 136000 137280 140250 140800 141440 143000 143616 145200 145860 146432 148159 149600 151008 154275 154880 155584 156000 157300 160446 161628 163200 164560 165750 166400 168960 169728 171600 175097 176000 176800 179520 181500 182325 183040 185856 187000 188760 191488 192000 193600 194480 196625 197472 199680 201344 202035 204000 205700 208000 211200 212160 213928 214500 215504 217600 219648 221000 224400 226304 228800 228973 232320 233376 235950 239360 242000 243100 246840 249600 251680 257125 261120 263296 264000 265200 267410 269380 272000 274560 280500 281600 282880 286000 287232 290400 291720 296318 299200 302016 303875 308550 309760 311168 312000 314600 320892 323256 326400 329120 331500 332800 336725 339456 343200 350194 352000 353600 359040 363000 364650 366080 371712 374000 377520 384000 387200 388960 393250 394944 401115 402688 404070 408000 411400 416000 422400 424320 427856 429000 431008 435200 439296 442000 444477 448800 457600 457946 464640 466752 471900 478720 484000 486200 493680 499200 503360 514250 525291 526592 528000 530400 534820 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425560058880 432209434800 443291728000 461023397120 483590976000 502934615040 508481688000 523890224000 531950073600 540261793500 542380467200 553228076544 571516608000 576279246400 625823616000 628668268800 664937592000 677975584000 691535095680 709266764800 720349058000 739609728000 785835336000 813570700800 838224358400 864418869600 886583456000 922046794240 967181952000 1016963376000 1047780448000 1063900147200 1080523587000 1106456153088 1143033216000 1152558492800 1257336537600 1329875184000 1355951168000 1383070191360 1440698116000 1571670672000 1627141401600 1728837739200 1773166912000 1844093588480 2033926752000 2095560896000 2127800294400 2161047174000 2305116985600 2514673075200 2659750368000 2711902336000 2766140382720 2881396232000 3143341344000 3457675478400 3546333824000 4067853504000 4191121792000 4322094348000 4610233971200 5319500736000 5532280765440 5762792464000 6286682688000 6915350956800 8135707008000 8644188696000 9220467942400 10639001472000 11525584928000 12573365376000 13830701913600 17288377392000 23051169856000 27661403827200 34576754784000 46102339712000 69153509568000 138307019136000
- Sum of all divisors σ(n): 576663163090560
- Sum of proper divisors (its aliquot sum) s(n): 438356143954560
- 138307019136000 is an abundant number, because the sum of its proper divisors (438356143954560) is greater than itself. Its abundance is 300049124818560
Bases of 138307019136000
- Binary: 111110111001010000111001011111011011100000000002
- Hexadecimal: 0x7DCA1CBEDC00
- Base-36: 1D0XD87MYO
Squares and roots of 138307019136000
- 138307019136000 squared (1383070191360002) is 19128831542285870186496000000
- 138307019136000 cubed (1383070191360003) is 2645651670168252241066114160787456000000000
-
The
square root of 138307019136000 is 11760400.4666507849 -
The
cube root of 138307019136000 is 51714.7870182007
Scales and comparisons
How big is 138307019136000?- 138,307,019,136,000 seconds is equal to 4,397,735 years, 20 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 138,307,019,136,000 would take you about ten million, nine hundred ninety-four thousand, three hundred thirty-eight 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 138307019136000 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138307019136000
- 138307019136000 backwards is 000631910703831
- The number of decimal digits it has is: 15
- The sum of 138307019136000's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 138307019136000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138307019136000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138307019136000/
Chicago style:
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The information we have on file for 138307019136000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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