138142881696400
138,142,881,696,400 is an even composite number composed of five prime numbers multiplied together.
138142881696400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 138142881696400:
24 × 52 × 72 × 372 × 22692
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 37 × 37 × 2269 × 2269)See below for interesting mathematical facts about the number 138142881696400 from the Numbermatics database.
Names of 138142881696400
- Cardinal: 138142881696400 can be written as One hundred thirty-eight trillion, one hundred forty-two billion, eight hundred eighty-one million, six hundred ninety-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.381428816964 × 1014
Factors of 138142881696400
Divisors of 138142881696400
- Number of divisors d(n): 405
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 49 50 56 70 74 80 98 100 112 140 148 175 185 196 200 245 259 280 296 350 370 392 400 490 518 560 592 700 740 784 925 980 1036 1225 1295 1369 1400 1480 1813 1850 1960 2072 2269 2450 2590 2738 2800 2960 3626 3700 3920 4144 4538 4900 5180 5476 6475 6845 7252 7400 9065 9076 9583 9800 10360 10952 11345 12950 13690 14504 14800 15883 18130 18152 19166 19600 20720 21904 22690 25900 27380 29008 31766 34225 36260 36304 38332 45325 45380 47915 51800 54760 56725 63532 67081 68450 72520 76664 79415 83953 90650 90760 95830 103600 109520 111181 113450 127064 134162 136900 145040 153328 158830 167906 181300 181520 191660 222362 226900 239575 254128 268324 273800 317660 335405 335812 362600 383320 397075 419765 444724 453800 479150 536648 547600 555905 587671 635320 670810 671624 725200 766640 794150 839530 889448 907600 958300 1073296 1111810 1175342 1270640 1341620 1343248 1588300 1677025 1679060 1778896 1916600 2098825 2223620 2350684 2683240 2779525 2938355 3106261 3176600 3354050 3358120 3833200 4113697 4197650 4447240 4701368 5148361 5366480 5559050 5876710 6212522 6353200 6708100 6716240 8227394 8395300 8894480 9402736 10296722 11118100 11753420 12425044 13416200 14691775 15531305 16454788 16790600 20568485 20593444 21743827 22236200 23506840 24850088 25741805 26832400 29383550 31062610 32909576 33581200 36038527 41136970 41186888 43487654 44472400 47013680 49700176 51483610 58767100 62125220 65819152 72077054 77656525 82273940 82373776 86975308 102842425 102967220 108719135 117534200 124250440 128709025 144154108 152206789 155313050 164547880 173950616 180192635 190489357 205684850 205934440 217438270 235068400 248500880 252269689 257418050 288308216 304413578 310626100 329095760 347901232 360385270 380978714 411369700 411868880 434876540 504539378 514836100 543595675 576616432 608827156 621252200 720770540 761033945 761957428 822739400 869753080 900963175 952446785 1009078756 1029672200 1087191350 1217654312 1242504400 1261348445 1333425499 1441541080 1522067890 1523914856 1645478800 1739506160 1801926350 1904893570 2018157512 2059344400 2174382700 2435308624 2522696890 2666850998 2883082160 3044135780 3047829712 3603852700 3805169725 3809787140 4036315024 4348765400 4762233925 5045393780 5333701996 6088271560 6306742225 6667127495 7048106209 7207705400 7610339450 7619574280 8697530800 9333978493 9524467850 10090787560 10667403992 12176543120 12613484450 13334254990 14096212418 14415410800 15220678900 15239148560 18667956986 19048935700 20181575120 21334807984 25226968900 26668509980 28192424836 30441357800 33335637475 35240531045 37335913972 38097871400 46669892465 49336743463 50453937800 53337019960 56384849672 60882715600 66671274950 70481062090 74671827944 76195742800 93339784930 98673486926 100907875600 106674039920 112769699344 133342549900 140962124180 149343655888 176202655225 186679569860 197346973852 233349462325 246683717315 266685099800 281924248360 345357204241 352405310450 373359139720 394693947704 466698924650 493367434630 533370199600 563848496720 690714408482 704810620900 746718279440 789387895408 933397849300 986734869260 1233418586575 1381428816964 1409621241800 1726786021205 1866795698600 1973469738520 2466837173150 2762857633928 2819242483600 3453572042410 3733591397200 3946939477040 4933674346300 5525715267856 6907144084820 8633930106025 9867348692600 13814288169640 17267860212050 19734697385200 27628576339280 34535720424100 69071440848200 138142881696400
- Sum of all divisors σ(n): 396965512801809
- Sum of proper divisors (its aliquot sum) s(n): 258822631105409
- 138142881696400 is an abundant number, because the sum of its proper divisors (258822631105409) is greater than itself. Its abundance is 120679749409009
Bases of 138142881696400
- Binary: 111110110100011111001010110010001001010100100002
- Hexadecimal: 0x7DA3E5644A90
- Base-36: 1CYTYP0O0G
Squares and roots of 138142881696400
- 138142881696400 squared (1381428816964002) is 19083455763385566141772960000
- 138142881696400 cubed (1381428816964003) is 2636243571879855014262279403428449344000000
-
138142881696400 is a
perfect square number . Itssquare root is 11753420 -
The
cube root of 138142881696400 is 51694.3212147183
Scales and comparisons
How big is 138142881696400?- 138,142,881,696,400 seconds is equal to 4,392,516 years, 17 weeks, 2 days, 13 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,142,881,696,400 would take you about ten million, nine hundred eighty-one thousand, two hundred ninety 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 138142881696400 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138142881696400
- 138142881696400 backwards is 004696188241831
- The number of decimal digits it has is: 15
- The sum of 138142881696400's digits is 61
- More coming soon!
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