138098451456000
138,098,451,456,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138098451456000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2520 divisors.
138098451456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138098451456000:
213 × 32 × 53 × 74 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 79 × 79)See below for interesting mathematical facts about the number 138098451456000 from the Numbermatics database.
Names of 138098451456000
- Cardinal: 138098451456000 can be written as One hundred thirty-eight trillion, ninety-eight billion, four hundred fifty-one million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38098451456 × 1014
Factors of 138098451456000
Divisors of 138098451456000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 79 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 158 160 168 175 180 192 196 200 210 224 225 237 240 245 250 252 256 280 288 294 300 315 316 320 336 343 350 360 375 384 392 395 400 420 441 448 450 474 480 490 500 504 512 525 553 560 576 588 600 630 632 640 672 686 700 711 720 735 750 768 784 790 800 840 875 882 896 900 948 960 980 1000 1008 1024 1029 1050 1106 1120 1125 1152 1176 1185 1200 1225 1260 1264 1280 1344 1372 1400 1422 1440 1470 1500 1536 1568 1575 1580 1600 1659 1680 1715 1750 1764 1792 1800 1896 1920 1960 1975 2000 2016 2048 2058 2100 2205 2212 2240 2250 2304 2352 2370 2400 2401 2450 2520 2528 2560 2625 2688 2744 2765 2800 2844 2880 2940 3000 3072 3087 3136 3150 3160 3200 3318 3360 3430 3500 3528 3555 3584 3600 3675 3792 3840 3871 3920 3950 4000 4032 4096 4116 4200 4410 4424 4480 4500 4608 4704 4740 4800 4802 4900 4977 5040 5056 5120 5145 5250 5376 5488 5530 5600 5688 5760 5880 5925 6000 6125 6144 6174 6241 6272 6300 6320 6400 6636 6720 6860 7000 7056 7110 7168 7200 7203 7350 7584 7680 7742 7840 7875 7900 8000 8064 8192 8232 8295 8400 8575 8820 8848 8960 9000 9216 9408 9480 9600 9604 9800 9875 9954 10080 10112 10240 10290 10500 10752 10976 11025 11060 11200 11376 11520 11613 11760 11850 12000 12005 12250 12288 12348 12482 12544 12600 12640 12800 13272 13440 13720 13825 14000 14112 14220 14336 14400 14406 14700 15168 15360 15435 15484 15680 15750 15800 16000 16128 16464 16590 16800 17150 17640 17696 17775 17920 18000 18375 18432 18723 18816 18960 19200 19208 19355 19600 19750 19908 20160 20224 20480 20580 21000 21504 21609 21952 22050 22120 22400 22752 23040 23226 23520 23700 24000 24010 24500 24576 24696 24885 24964 25088 25200 25280 25600 25725 26544 26880 27097 27440 27650 28000 28224 28440 28672 28800 28812 29400 29625 30336 30720 30870 30968 31205 31360 31500 31600 32000 32256 32928 33180 33600 34300 34839 35280 35392 35550 35840 36000 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157826801664 164402918400 172623064320 174808166400 176145984000 179815692000 184131268608 187889049600 191803404800 194231296000 197283502080 201309696000 205503648000 215778830400 218510208000 219203891200 230164085760 234861312000 239754256000 246604377600 249725952000 263044669440 269723538000 274004864000 276196902912 281833574400 287705107200 291346944000 306885447680 308255472000 313148416000 328805836800 345246128640 349616332800 352291968000 359631384000 368262537216 383606809600 394567004160 402619392000 411007296000 431557660800 437020416000 438407782400 460328171520 469722624000 479508512000 493208755200 539447076000 548009728000 552393805824 563667148800 575410214400 582693888000 613770895360 616510944000 657611673600 690492257280 704583936000 719262768000 767213619200 789134008320 822014592000 863115321600 874040832000 920656343040 939445248000 959017024000 986417510400 1078894152000 1096019456000 1104787611648 1150820428800 1233021888000 1315223347200 1380984514560 1409167872000 1438525536000 1534427238400 1644029184000 1726230643200 1748081664000 1841312686080 1918034048000 1972835020800 2157788304000 2192038912000 2301640857600 2466043776000 2761969029120 2818335744000 2877051072000 3068854476800 3288058368000 3452461286400 3836068096000 3945670041600 4315576608000 4603281715200 4932087552000 5523938058240 5754102144000 6576116736000 6904922572800 7672136192000 8631153216000 9206563430400 9864175104000 11508204288000 13809845145600 15344272384000 17262306432000 19728350208000 23016408576000 27619690291200 34524612864000 46032817152000 69049225728000 138098451456000
- Sum of all divisors σ(n): 588247758611604
- Sum of proper divisors (its aliquot sum) s(n): 450149307155604
- 138098451456000 is an abundant number, because the sum of its proper divisors (450149307155604) is greater than itself. Its abundance is 312050855699604
Bases of 138098451456000
- Binary: 111110110011001100011010010010010100000000000002
- Hexadecimal: 0x7D998D24A000
- Base-36: 1CY9JWEF40
Squares and roots of 138098451456000
- 138098451456000 squared (1380984514560002) is 19071182294545188519936000000
- 138098451456000 cubed (1380984514560003) is 2633700742311775410418750184226816000000000
-
The
square root of 138098451456000 is 11751529.7496113245 -
The
cube root of 138098451456000 is 51688.7785539359
Scales and comparisons
How big is 138098451456000?- 138,098,451,456,000 seconds is equal to 4,391,103 years, 30 weeks, 4 days, 16 hours.
-
To count from 1 to 138,098,451,456,000 would take you about ten million, nine hundred seventy-seven thousand, seven hundred fifty-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 138098451456000 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138098451456000
- 138098451456000 backwards is 000654154890831
- The number of decimal digits it has is: 15
- The sum of 138098451456000's digits is 54
- More coming soon!
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"Number 138098451456000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 138098451456000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138098451456000/
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The information we have on file for 138098451456000 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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