138189177653800
138,189,177,653,800 is an even composite number composed of seven prime numbers multiplied together.
138189177653800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138189177653800:
23 × 52 × 7 × 13 × 53 × 1093 × 131071
(2 × 2 × 2 × 5 × 5 × 7 × 13 × 53 × 1093 × 131071)See below for interesting mathematical facts about the number 138189177653800 from the Numbermatics database.
Names of 138189177653800
- Cardinal: 138189177653800 can be written as One hundred thirty-eight trillion, one hundred eighty-nine billion, one hundred seventy-seven million, six hundred fifty-three thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381891776538 × 1014
Factors of 138189177653800
Divisors of 138189177653800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 53 56 65 70 91 100 104 106 130 140 175 182 200 212 260 265 280 325 350 364 371 424 455 520 530 650 689 700 728 742 910 1060 1093 1300 1325 1378 1400 1484 1820 1855 2120 2186 2275 2600 2650 2756 2968 3445 3640 3710 4372 4550 4823 5300 5465 5512 6890 7420 7651 8744 9100 9275 9646 10600 10930 13780 14209 14840 15302 17225 18200 18550 19292 21860 24115 27325 27560 28418 30604 34450 37100 38255 38584 43720 48230 54650 56836 57929 61208 68900 71045 74200 76510 96460 99463 109300 113672 115858 120575 131071 137800 142090 153020 191275 192920 198926 218600 231716 241150 262142 284180 289645 306040 355225 382550 397852 405503 463432 482300 497315 524284 568360 579290 655355 710450 753077 765100 795704 811006 917497 964600 994630 1048568 1158580 1310710 1420900 1448225 1506154 1530200 1622012 1703923 1834994 1989260 2027515 2317160 2486575 2621420 2841800 2896450 3012308 3244024 3276775 3407846 3669988 3765385 3978520 4055030 4587485 4973150 5242840 5271539 5792900 6024616 6553550 6815692 6946763 7339976 7530770 8110060 8519615 9174970 9946300 10137575 10543078 11585800 11927461 13107100 13631384 13893526 15061540 16220120 17039230 18349940 18826925 19892600 20275150 21086156 22937425 23854922 26214200 26357695 27787052 30123080 34078460 34733815 36699880 37653850 40550300 42172312 42598075 45874850 47709844 48627341 52715390 55574104 59637305 68156920 69467630 75307700 81100600 85196150 90307919 91749700 95419688 97254682 105430780 119274610 131788475 138935260 143260603 150615400 170392300 173669075 180615838 183499400 194509364 210861560 238549220 243136705 263576950 277870520 286521206 298186525 340784600 347338150 361231676 389018728 451539595 477098440 486273410 527153900 573042412 596373050 632155433 694676300 716303015 722463352 903079190 972546820 1002824221 1054307800 1146084824 1192746100 1215683525 1264310866 1389352600 1432606030 1806158380 1862387839 1945093640 2005648442 2257697975 2385492200 2431367050 2528621732 2865212060 3160777165 3581515075 3612316760 3724775678 4011296884 4515395950 4862734100 5014121105 5057243464 5730424120 6321554330 7163030150 7449551356 7592811959 8022593768 9030791900 9311939195 9725468200 10028242210 12643108660 13036714873 14326060300 14899102712 15185623918 15803885825 18061583800 18623878390 20056484420 25070605525 25286217320 26073429746 28652120600 30371247836 31607771650 37247756780 37964059795 40112968840 46559695975 50141211050 52146859492 53149683713 60742495672 63215543300 65183574365 74495513560 75928119590 93119391950 98706555467 100282422100 104293718984 106299367426 126431086600 130367148730 151856239180 186238783900 189820298975 197413110934 200564844200 212598734852 260734297460 265748418565 303712478360 325917871825 372477567800 379640597950 394826221868 425197469704 493532777335 521468594920 531496837130 651835743650 690945888269 759281195900 789652443736 987065554670 1062993674260 1303671487300 1328742092825 1381891776538 1518562391800 1974131109340 2125987348520 2467663886675 2607342974600 2657484185650 2763783553076 3454729441345 3948262218680 4935327773350 5314968371300 5527567106152 6909458882690 9870655546700 10629936742600 13818917765380 17273647206725 19741311093400 27637835530760 34547294413450 69094588826900 138189177653800
- Sum of all divisors σ(n): 403266349301760
- Sum of proper divisors (its aliquot sum) s(n): 265077171647960
- 138189177653800 is an abundant number, because the sum of its proper divisors (265077171647960) is greater than itself. Its abundance is 126887993994160
Bases of 138189177653800
- Binary: 111110110101110101011001101100010001010001010002
- Hexadecimal: 0x7DAEACD88A28
- Base-36: 1CZF8CFPD4
Squares and roots of 138189177653800
- 138189177653800 squared (1381891776538002) is 19096248820633497272654440000
- 138189177653800 cubed (1381891776538003) is 2638894920795691085670042185857352872000000
-
The
square root of 138189177653800 is 11755389.3025199297 -
The
cube root of 138189177653800 is 51700.0953590047
Scales and comparisons
How big is 138189177653800?- 138,189,177,653,800 seconds is equal to 4,393,988 years, 20 weeks, 6 days, 9 hours, 36 minutes, 40 seconds.
-
To count from 1 to 138,189,177,653,800 would take you about ten million, nine hundred eighty-four thousand, nine hundred seventy-one 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 138189177653800 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138189177653800
- 138189177653800 backwards is 008356771981831
- The number of decimal digits it has is: 15
- The sum of 138189177653800's digits is 67
- More coming soon!
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