138825971067000
138,825,971,067,000 is an even composite number composed of six prime numbers multiplied together.
138825971067000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138825971067000:
23 × 3 × 53 × 72 × 792 × 3892
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 79 × 79 × 389 × 389)See below for interesting mathematical facts about the number 138825971067000 from the Numbermatics database.
Names of 138825971067000
- Cardinal: 138825971067000 can be written as One hundred thirty-eight trillion, eight hundred twenty-five billion, nine hundred seventy-one million, sixty-seven thousand.
Scientific notation
- Scientific notation: 1.38825971067 × 1014
Factors of 138825971067000
Divisors of 138825971067000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 79 84 98 100 105 120 125 140 147 150 158 168 175 196 200 210 237 245 250 280 294 300 316 350 375 389 392 395 420 474 490 500 525 553 588 600 632 700 735 750 778 790 840 875 948 980 1000 1050 1106 1167 1176 1185 1225 1400 1470 1500 1556 1580 1659 1750 1896 1945 1960 1975 2100 2212 2334 2370 2450 2625 2723 2765 2940 3000 3112 3160 3318 3500 3675 3871 3890 3950 4200 4424 4668 4740 4900 5250 5446 5530 5835 5880 5925 6125 6241 6636 7000 7350 7742 7780 7900 8169 8295 9336 9480 9725 9800 9875 10500 10892 11060 11613 11670 11850 12250 12482 13272 13615 13825 14700 15484 15560 15800 16338 16590 18375 18723 19061 19355 19450 19750 21000 21784 22120 23226 23340 23700 24500 24964 27230 27650 29175 29400 29625 30731 30968 31205 32676 33180 36750 37446 38122 38710 38900 39500 40845 41475 43687 46452 46680 47400 48625 49000 49928 54460 55300 57183 58065 58350 59250 61462 62410 65352 66360 68075 69125 73500 74892 76244 77420 77800 79000 81690 82950 87374 92193 92904 93615 95305 96775 97250 108920 110600 114366 116130 116700 118500 122924 124820 131061 136150 138250 145875 147000 149784 151321 152488 153655 154840 156025 163380 165900 174748 184386 187230 190610 193550 194500 204225 207375 215117 218435 228732 232260 233400 237000 245848 249640 262122 272300 276500 285915 290325 291750 302642 305809 307310 312050 326760 331800 340375 349496 368772 374460 381220 387100 389000 408450 414750 430234 436870 453963 457464 460965 464520 468075 476525 483875 524244 544600 553000 571830 580650 583500 605284 611618 614620 624100 645351 655305 680750 737544 748920 756605 762440 768275 774200 780125 816900 829500 860468 873740 907926 917427 921930 936150 953050 967750 1021125 1048488 1059247 1075585 1092175 1143660 1161300 1167000 1210568 1223236 1229240 1248200 1290702 1310610 1361500 1429575 1451625 1505819 1513210 1529045 1536550 1560250 1633800 1659000 1720936 1747480 1815852 1834854 1843860 1872300 1906100 1935500 2042250 2118494 2151170 2184350 2269815 2287320 2304825 2322600 2340375 2382625 2427749 2446472 2581404 2621220 2723000 2859150 2903250 3011638 3026420 3058090 3073100 3120500 3177741 3226755 3276525 3631704 3669708 3687720 3744600 3783025 3812200 3841375 3871000 4084500 4236988 4302340 4368700 4517457 4539630 4587135 4609650 4680750 4765250 4855498 5162808 5242440 5296235 5377925 5460875 5718300 5806500 6023276 6052840 6116180 6146200 6241000 6355482 6453510 6553050 7147875 7283247 7339416 7414729 7529095 7566050 7645225 7682750 8169000 8473976 8604680 8737400 9034914 9079260 9174270 9219300 9361500 9530500 9710996 10592470 10755850 10921750 11349075 11436600 11524125 11613000 11954359 12046552 12138745 12232360 12710964 12907020 13106100 14295750 14566494 14829458 15058190 15132100 15290450 15365500 15888705 16133775 16382625 16994243 18069828 18158520 18348540 18438600 18723000 18915125 19061000 19421992 21184940 21511700 21843500 22244187 22587285 22698150 22935675 23048250 23908718 24277490 25421928 25814040 26212200 26481175 26889625 28591500 29132988 29658916 30116380 30264200 30580900 30731000 31777410 32267550 32765250 33988486 35863077 36139656 36416235 36697080 37073645 37645475 37830250 38226125 42369880 43023400 43687000 44488374 45174570 45396300 45871350 46096500 47817436 48554980 50982729 52962350 53779250 56745375 57183000 58265976 59317832 59771795 60232760 60693725 61161800 63554820 64535100 65530500 67976972 71726154 72832470 74147290 75290950 75660500 76452250 79443525 80668875 83680513 84971215 88976748 90349140 90792600 91742700 92193000 95634872 97109960 101965458 105924700 107558500 111220935 112936425 113490750 114678375 118959701 119543590 121387450 127109640 129070200 131061000 132405875 135953944 143452308 145664940 148294580 150581900 151321000 152904500 158887050 161337750 167361026 169942430 177953496 179315385 180698280 182081175 183485400 185368225 188227375 203930916 211849400 215117000 222441870 225872850 226981500 229356750 237919402 239087180 242774900 251041539 254913645 264811750 286904616 291329880 296589160 298858975 301163800 303468625 305809000 317774100 322675500 334722052 339884860 356879103 358630770 364162350 370736450 376454750 397217625 407861832 418402565 424856075 444883740 451745700 453963000 458713500 475838804 478174360 485549800 502083078 509827290 529623500 556104675 564682125 585763591 594798505 597717950 606937250 635548200 645351000 669444104 679769720 713758206 717261540 728324700 741472900 752909500 794435250 836805130 849712150 889767480 896576925 903491400 910405875 917427000 926841125 944394361 951677608 1004166156 1019654580 1059247000 1112209350 1129364250 1171527182 1189597010 1195435900 1213874500 1255207695 1274568225 1427516412 1434523080 1456649400 1482945800 1494294875 1505819000 1588870500 1673610260 1699424300 1757290773 1784395515 1793153850 1820811750 1853682250 1888788722 2008332312 2039309160 2092012825 2124280375 2224418700 2258728500 2343054364 2379194020 2390871800 2427749000 2510415390 2549136450 2780523375 2833183083 2855032824 2928817955 2973992525 2988589750 3177741000 3347220520 3398848600 3514581546 3568791030 3586307700 3641623500 3707364500 3777577444 4184025650 4248560750 4448837400 4482884625 4517457000 4686108728 4721971805 4758388040 5020830780 5098272900 5561046750 5666366166 5857635910 5947985050 5977179500 6276038475 6372841125 6610760527 7029163092 7137582060 7172615400 7283247000 7414729000 7555154888 8368051300 8497121500 8786453865 8921977575 8965769250 9443943610 10041661560 10196545800 10460064125 11122093500 11332732332 11715271820 11895970100 11954359000 12552076950 12745682250 13221521054 14058326184 14165915415 14275164120 14644089775 14869962625 16736102600 16994243000 17572907730 17843955150 17931538500 18887887220 19832281581 20920128250 22244187000 22665464664 23430543640 23609859025 23791940200 25104153900 25491364500 26443042108 28331830830 29288179550 29739925250 31380192375 33053802635 35145815460 35687910300 35863077000 37775774440 39664563162 41840256500 43932269325 44609887875 46275323689 47219718050 50208307800 50982729000 52886084216 56663661660 58576359100 59479850500 62760384750 66107605270 70291630920 70829577075 71375820600 73220448875 79329126324 83680513000 87864538650 89219775750 92550647378 94439436100 99161407905 113327323320 117152718200 118049295125 118959701000 125520769500 132215210540 138825971067 141659154150 146440897750 158658252648 165269013175 175729077300 178439551500 185101294756 188878872200 198322815810 219661346625 231376618445 236098590250 251041539000 264430421080 277651942134 283318308300 292881795500 330538026350 351458154600 354147885375 356879103000 370202589512 396645631620 439322693250 462753236890 472197180500 495807039525 555303884268 566636616600 585763591000 661076052700 694129855335 708295770750 793291263240 826345065875 878645386500 925506473780 944394361000 991614079050 1110607768536 1156883092225 1322152105400 1388259710670 1416591541500 1652690131750 1757290773000 1851012947560 1983228158100 2313766184450 2479035197625 2776519421340 2833183083000 3305380263500 3470649276675 3966456316200 4627532368900 4958070395250 5553038842680 5784415461125 6610760527000 6941298553350 9255064737800 9916140790500 11568830922250 13882597106700 17353246383375 19832281581000 23137661844500 27765194213400 34706492766750 46275323689000 69412985533500 138825971067000
- Sum of all divisors σ(n): 511627130043120
- Sum of proper divisors (its aliquot sum) s(n): 372801158976120
- 138825971067000 is an abundant number, because the sum of its proper divisors (372801158976120) is greater than itself. Its abundance is 233975187909120
Bases of 138825971067000
- Binary: 111111001000010111100001011000011101000011110002
- Hexadecimal: 0x7E42F0B0E878
- Base-36: 1D7JRQSJNC
Squares and roots of 138825971067000
- 138825971067000 squared (1388259710670002) is 19272650242695521118489000000
- 138825971067000 cubed (1388259710670003) is 2675544384976858942885841392757763000000000
-
The
square root of 138825971067000 is 11782443.3402838817 -
The
cube root of 138825971067000 is 51779.3872393685
Scales and comparisons
How big is 138825971067000?- 138,825,971,067,000 seconds is equal to 4,414,236 years, 24 weeks, 12 hours, 50 minutes.
-
To count from 1 to 138,825,971,067,000 would take you about eleven million, thirty-five thousand, five hundred ninety-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 138825971067000 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138825971067000
- 138825971067000 backwards is 000760179528831
- The number of decimal digits it has is: 15
- The sum of 138825971067000's digits is 57
- More coming soon!
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The information we have on file for 138825971067000 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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