138857526128640000
138,857,526,128,640,000 is an even composite number composed of seven prime numbers multiplied together.
138857526128640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138857526128640000:
215 × 3 × 54 × 11 × 29 × 79 × 89681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 79 × 89681)See below for interesting mathematical facts about the number 138857526128640000 from the Numbermatics database.
Names of 138857526128640000
- Cardinal: 138857526128640000 can be written as One hundred thirty-eight quadrillion, eight hundred fifty-seven trillion, five hundred twenty-six billion, one hundred twenty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3885752612864 × 1017
Factors of 138857526128640000
Divisors of 138857526128640000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 44 48 50 55 58 60 64 66 75 79 80 87 88 96 100 110 116 120 125 128 132 145 150 158 160 165 174 176 192 200 220 232 237 240 250 256 264 275 290 300 316 319 320 330 348 352 375 384 395 400 435 440 464 474 480 500 512 528 550 580 600 625 632 638 640 660 696 704 725 750 768 790 800 825 869 870 880 928 948 957 960 1000 1024 1056 1100 1160 1185 1200 1250 1264 1276 1280 1320 1375 1392 1408 1450 1500 1536 1580 1595 1600 1650 1738 1740 1760 1856 1875 1896 1914 1920 1975 2000 2048 2112 2175 2200 2291 2320 2370 2400 2500 2528 2552 2560 2607 2640 2750 2784 2816 2900 3000 3072 3160 3190 3200 3300 3476 3480 3520 3625 3712 3750 3792 3828 3840 3950 4000 4096 4125 4224 4345 4350 4400 4582 4640 4740 4785 4800 5000 5056 5104 5120 5214 5280 5500 5568 5632 5800 5925 6000 6144 6320 6380 6400 6600 6873 6875 6952 6960 7040 7250 7424 7500 7584 7656 7680 7900 7975 8000 8192 8250 8448 8690 8700 8800 9164 9280 9480 9570 9600 9875 10000 10112 10208 10240 10428 10560 10875 11000 11136 11264 11455 11600 11850 12000 12288 12640 12760 12800 13035 13200 13746 13750 13904 13920 14080 14500 14848 15000 15168 15312 15360 15800 15950 16000 16384 16500 16896 17380 17400 17600 18125 18328 18560 18960 19140 19200 19750 20000 20224 20416 20480 20625 20856 21120 21725 21750 22000 22272 22528 22910 23200 23700 23925 24000 24576 25201 25280 25520 25600 26070 26400 27492 27500 27808 27840 28160 29000 29625 29696 30000 30336 30624 30720 31600 31900 32000 32768 33000 33792 34365 34760 34800 35200 36250 36656 37120 37920 38280 38400 39500 39875 40000 40448 40832 40960 41250 41712 42240 43450 43500 44000 44544 45056 45820 46400 47400 47850 48000 49152 49375 50402 50560 51040 51200 52140 52800 54375 54984 55000 55616 55680 56320 57275 58000 59250 59392 60000 60672 61248 61440 63200 63800 64000 65175 66000 67584 68730 69520 69600 70400 72500 73312 74240 75603 75840 76560 76800 79000 79750 80000 80896 81664 81920 82500 83424 84480 86900 87000 88000 89088 89681 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108822512640000 109855637760000 111086020902912 115714605107200 117179346944000 119704763904000 126234114662400 131493869440000 135603052860000 138857526128640 144643256384000 145096683520000 146474183680000 149630954880000 157792643328000 159606351872000 159790018560000 168312152883200 173571907660800 175769020416000 180804070480000 185143368171520 191527622246400 197240804160000 199507939840000 210390191104000 216964884576000 217645025280000 219711275520000 222172041805824 231429210214400 239409527808000 252468229324800 262987738880000 271206105720000 277715052257280 289286512768000 292948367360000 299261909760000 315585286656000 319212703744000 347143815321600 351538040832000 361608140960000 370286736343040 394481608320000 399015879680000 420780382208000 433929769152000 435290050560000 439422551040000 462858420428800 478819055616000 504936458649600 525975477760000 542412211440000 555430104514560 578573025536000 585896734720000 598523819520000 631170573312000 694287630643200 723216281920000 788963216640000 798031759360000 841560764416000 867859538304000 878845102080000 925716840857600 957638111232000 1051950955520000 1084824422880000 1110860209029120 1157146051072000 1197047639040000 1262341146624000 1388575261286400 1446432563840000 1577926433280000 1596063518720000 1735719076608000 1757690204160000 1851433681715200 2103901911040000 2169648845760000 2314292102144000 2394095278080000 2524682293248000 2777150522572800 2892865127680000 3155852866560000 3471438153216000 4207803822080000 4339297691520000 4628584204288000 4788190556160000 5554301045145600 5785730255360000 6311705733120000 6942876306432000 8678595383040000 9257168408576000 11571460510720000 12623411466240000 13885752612864000 17357190766080000 23142921021440000 27771505225728000 34714381532160000 46285842042880000 69428763064320000 138857526128640000
- Sum of all divisors σ(n): 528788621775744000
- Sum of proper divisors (its aliquot sum) s(n): 389931095647104000
- 138857526128640000 is an abundant number, because the sum of its proper divisors (389931095647104000) is greater than itself. Its abundance is 251073569518464000
Bases of 138857526128640000
- Binary: 1111011010101001000101111001011110100100110000000000000002
- Hexadecimal: 0x1ED522F2F498000
- Base-36: 11Z8VUV9WT1C
Squares and roots of 138857526128640000
- 138857526128640000 squared (1388575261286400002) is 19281412562565940305828249600000000
- 138857526128640000 cubed (1388575261286400003) is 2677369248703587594779476681308235628544000000000000
-
The
square root of 138857526128640000 is 372635916.3159665155 -
The
cube root of 138857526128640000 is 517833.1008359355
Scales and comparisons
How big is 138857526128640000?- 138,857,526,128,640,000 seconds is equal to 4,415,239,816 years, 18 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 138,857,526,128,640,000 would take you about thirteen billion, two hundred forty-five million, seven hundred nineteen 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 138857526128640000 cubic inches would be around 43152.8 feet tall.
Recreational maths with 138857526128640000
- 138857526128640000 backwards is 000046821625758831
- 138857526128640000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138857526128640000's digits is 66
- More coming soon!
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"Number 138857526128640000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138857526128640000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138857526128640000/
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The information we have on file for 138857526128640000 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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