138247956061440
138,247,956,061,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138247956061440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138247956061440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138247956061440:
28 × 3 × 5 × 192 × 73 × 79 × 17293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 19 × 73 × 79 × 17293)See below for interesting mathematical facts about the number 138247956061440 from the Numbermatics database.
Names of 138247956061440
- Cardinal: 138247956061440 can be written as One hundred thirty-eight trillion, two hundred forty-seven billion, nine hundred fifty-six million, sixty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3824795606144 × 1014
Factors of 138247956061440
Divisors of 138247956061440
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 73 76 79 80 95 96 114 120 128 146 152 158 160 190 192 219 228 237 240 256 285 292 304 316 320 361 365 380 384 395 438 456 474 480 570 584 608 632 640 722 730 760 768 790 876 912 948 960 1083 1095 1140 1168 1185 1216 1264 1280 1387 1444 1460 1501 1520 1580 1752 1805 1824 1896 1920 2166 2190 2280 2336 2370 2432 2528 2774 2888 2920 3002 3040 3160 3504 3610 3648 3792 3840 4161 4332 4380 4503 4560 4672 4740 4864 5056 5415 5548 5767 5776 5840 6004 6080 6320 6935 7008 7220 7296 7505 7584 8322 8664 8760 9006 9120 9344 9480 10112 10830 11096 11534 11552 11680 12008 12160 12640 13870 14016 14440 14592 15010 15168 16644 17293 17301 17328 17520 18012 18240 18688 18960 20224 20805 21660 22192 22515 23068 23104 23360 24016 24320 25280 26353 27740 28032 28519 28835 28880 30020 30336 33288 34586 34602 34656 35040 36024 36480 37920 41610 43320 44384 45030 46136 46208 46720 48032 50560 51879 52706 55480 56064 57038 57670 57760 60040 60672 66576 69172 69204 69312 70080 72048 72960 75840 79059 83220 85557 86465 86505 86640 88768 90060 92272 92416 93440 96064 101120 103758 105412 109573 110960 114076 115340 115520 120080 131765 133152 138344 138408 138624 140160 142595 144096 151680 158118 166440 171114 172930 173010 173280 177536 180120 184544 192128 207516 210824 219146 221920 228152 230680 231040 240160 259395 263530 266304 276688 276816 277248 280320 285190 288192 303360 316236 328567 328719 332880 342228 345860 346020 346560 355072 360240 369088 384256 395295 415032 421648 427785 438292 443840 456304 461360 462080 480320 518790 527060 532608 547865 553376 553632 570380 576384 632472 657134 657438 665760 684456 691720 692040 693120 720480 738176 790590 830064 843296 855570 876584 887680 912608 922720 960640 985701 1037580 1054120 1065216 1095730 1106752 1107264 1140760 1152768 1262389 1264944 1314268 1314876 1331520 1366147 1368912 1383440 1384080 1386240 1440960 1476352 1581180 1642835 1643595 1660128 1686592 1711140 1753168 1775360 1825216 1845440 1921280 1971402 2075160 2081887 2108240 2191460 2213504 2214528 2281520 2524778 2529888 2628536 2629752 2663040 2732294 2737824 2766880 2768160 2881920 3162360 3285670 3287190 3320256 3373184 3422280 3506336 3650432 3690880 3787167 3942804 4098441 4150320 4163774 4216480 4382920 4427008 4429056 4563040 4928505 5049556 5059776 5257072 5259504 5326080 5464588 5475648 5533760 5536320 5763840 6242773 6245661 6311945 6324720 6571340 6574380 6640512 6746368 6830735 6844560 7012672 7300864 7381760 7574334 7885608 8196882 8300640 8327548 8432960 8765840 9126080 9857010 10099112 10119552 10409435 10514144 10519008 10929176 10951296 11067520 11072640 12485546 12491322 12623890 12649440 13142680 13148760 13281024 13661470 13689120 14025344 15148668 15771216 16393764 16601280 16655096 16865920 17531680 18252160 18728319 18935835 19714020 20198224 20239104 20492205 20818870 21028288 21038016 21858352 21902592 22135040 22145280 23985391 24971092 24982644 25247780 25298880 25956793 26285360 26297520 27322940 27378240 28050688 30297336 31213865 31228305 31542432 32787528 33202560 33310192 33731840 35063360 36504320 37456638 37871670 39428040 40396448 40984410 41637740 42056576 42076032 43716704 47970782 49942184 49965288 50495560 50597760 51913586 52570720 52595040 54645880 54756480 60594672 62427730 62456610 63084864 65575056 66405120 66620384 70126720 71956173 74913276 75743340 77870379 78856080 80792896 81968820 83275480 84113152 84152064 87433408 93641595 95941564 99728731 99884368 99930576 100991120 101195520 103827172 105141440 105190080 109291760 109512960 119926955 121189344 124855460 124913220 126169728 129783965 131150112 133240768 140253440 143912346 149826552 151486680 155740758 157712160 161585792 163937640 166550960 174866816 187283190 191883128 199457462 199768736 199861152 201982240 207654344 210282880 210380160 218583520 239853910 242378688 249710920 249826440 252339456 259567930 262300224 266481536 287824692 299186193 299653104 302973360 311481516 315424320 323171584 327875280 333101920 349733632 359780865 374566380 383766256 389351895 398914924 399537472 399722304 403964480 415308688 420565760 420760320 437167040 455722429 479707820 484757376 493179067 498643655 499421840 499652880 519135860 524600448 532963072 575649384 598372386 599306208 605946720 622963032 630848640 655750560 666203840 719561730 749132760 767532512 778703790 797829848 799074944 799444608 807928960 830617376 874334080 911444858 959415640 969514752 986358134 997287310 998843680 999305760 1038271720 1049200896 1151298768 1196744772 1198612416 1211893440 1245926064 1261697280 1311501120 1332407680 1367167287 1439123460 1479537201 1495930965 1498265520 1535065024 1557407580 1595659696 1598149888 1598889216 1615857920 1661234752 1748668160 1822889716 1894845889 1918831280 1972716268 1994574620 1997687360 1998611520 2076543440 2278612145 2302597536 2393489544 2397224832 2423786880 2465895335 2491852128 2623002240 2664815360 2734334574 2878246920 2959074402 2991861930 2996531040 3070130048 3114815160 3191319392 3322469504 3645779432 3789691778 3837662560 3945432536 3989149240 3995374720 3997223040 4153086880 4557224290 4605195072 4786979088 4794449664 4847573760 4931790670 4983704256 5246004480 5468669148 5684537667 5756493840 5918148804 5983723860 5993062080 6140260096 6229630320 6382638784 6644939008 6835836435 7291558864 7397686005 7579383556 7675325120 7890865072 7978298480 7990749440 7994446080 8306173760 9114448580 9210390144 9474229445 9573958176 9863581340 9967408512 10937338296 11369075334 11512987680 11836297608 11967447720 11986124160 12459260640 12765277568 13671672870 14583117728 14795372010 15158767112 15350650240 15781730144 15956596960 16612347520 18228897160 18420780288 18948458890 19147916352 19727162680 19934817024 21874676592 22738150668 23025975360 23672595216 23934895440 23972248320 24918521280 25530555136 27343345740 28422688335 29166235456 29590744020 30317534224 30701300480 31563460288 31913193920 33224695040 36002071891 36457794320 37896917780 38295832704 39454325360 43749353184 45476301336 46051950720 47345190432 47869790880 49837042560 54686691480 56845376670 58332470912 59181488040 60635068448 63126920576 63826387840 72004143782 72915588640 75793835560 76591665408 78908650720 87498706368 90952602672 92103901440 94690380864 95739581760 99674085120 108006215673 109373382960 113690753340 116664941824 118362976080 121270136896 126253841152 127652775680 144008287564 145831177280 151587671120 157817301440 174997412736 180010359455 181905205344 189380761728 191479163520 216012431346 218746765920 227381506680 236725952160 242540273792 288016575128 291662354560 303175342240 315634602880 349994825472 360020718910 363810410688 378761523456 382958327040 432024862692 437493531840 454763013360 473451904320 485080547584 540031078365 576033150256 583324709120 606350684480 631269205760 720041437820 727620821376 864049725384 874987063680 909526026720 946903808640 1080062156730 1152066300512 1212701368960 1440082875640 1455241642752 1728099450768 1749974127360 1819052053440 1893807617280 2160124313460 2304132601024 2425402737920 2880165751280 3456198901536 3638104106880 4320248626920 4608265202048 5760331502560 6912397803072 7276208213760 8640497253840 9216530404096 11520663005120 13824795606144 17280994507680 23041326010240 27649591212288 34561989015360 46082652020480 69123978030720 138247956061440
- Sum of all divisors σ(n): 478381392760320
- Sum of proper divisors (its aliquot sum) s(n): 340133436698880
- 138247956061440 is an abundant number, because the sum of its proper divisors (340133436698880) is greater than itself. Its abundance is 201885480637440
Bases of 138247956061440
- Binary: 111110110111100010111000100111111011101000000002
- Hexadecimal: 0x7DBC5C4FDD00
- Base-36: 1D068FKYYO
Squares and roots of 138247956061440
- 138247956061440 squared (1382479560614402) is 19112497355165844837054873600
- 138247956061440 cubed (1382479560614403) is 2642263694581355927237378841827013033984000
-
The
square root of 138247956061440 is 11757889.0988748487 -
The
cube root of 138247956061440 is 51707.4244870349
Scales and comparisons
How big is 138247956061440?- 138,247,956,061,440 seconds is equal to 4,395,857 years, 19 weeks, 3 days, 1 hour, 4 minutes.
-
To count from 1 to 138,247,956,061,440 would take you about ten million, nine hundred eighty-nine thousand, six hundred forty-three 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 138247956061440 cubic inches would be around 4309 feet tall.
Recreational maths with 138247956061440
- 138247956061440 backwards is 044160659742831
- 138247956061440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138247956061440's digits is 60
- More coming soon!
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The information we have on file for 138247956061440 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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