138432746856250
138,432,746,856,250 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138432746856250 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
138432746856250 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138432746856250:
2 × 55 × 7 × 11 × 17 × 113 × 137 × 1093
(2 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 17 × 113 × 137 × 1093)See below for interesting mathematical facts about the number 138432746856250 from the Numbermatics database.
Names of 138432746856250
- Cardinal: 138432746856250 can be written as One hundred thirty-eight trillion, four hundred thirty-two billion, seven hundred forty-six million, eight hundred fifty-six thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3843274685625 × 1014
Factors of 138432746856250
Divisors of 138432746856250
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 5 7 10 11 14 17 22 25 34 35 50 55 70 77 85 110 113 119 125 137 154 170 175 187 226 238 250 274 275 350 374 385 425 550 565 595 625 685 770 791 850 875 935 959 1093 1130 1190 1243 1250 1309 1370 1375 1507 1582 1750 1870 1918 1921 1925 2125 2186 2329 2486 2618 2750 2825 2975 3014 3125 3425 3842 3850 3955 4250 4375 4658 4675 4795 5465 5650 5950 6215 6250 6545 6850 6875 7535 7651 7910 8701 8750 9350 9590 9605 9625 10549 10625 10930 11645 12023 12430 13090 13447 13750 14125 14875 15070 15302 15481 16303 17125 17402 18581 19210 19250 19775 21098 21131 21250 21875 23290 23375 23975 24046 25619 26894 27325 28250 29750 30962 31075 32606 32725 34250 34375 37162 37675 38255 39550 42262 43505 43750 46750 47950 48025 48125 51238 52745 53125 54650 58225 60115 62150 65450 67235 68750 70625 74375 75350 76510 77405 81515 84161 85625 87010 92905 96050 96250 98875 105490 105655 106250 108367 116450 116875 119875 120230 123509 128095 130067 134470 136625 141250 147917 148750 149741 154810 155375 163030 163625 168322 170291 171250 179333 185810 188375 191275 197750 204391 211310 216734 217525 233750 239750 240125 240625 247018 256190 260134 263177 263725 273250 291125 295834 299482 300575 310750 327250 336175 340582 353125 358666 371875 376750 382550 387025 407575 408782 420805 428125 435050 464525 480250 481250 494375 526354 527450 528275 541835 582250 584375 599375 601150 617545 640475 650335 672350 683125 706250 739585 743750 748705 774050 776875 815150 818125 841610 851455 856250 864563 896665 929050 941875 956375 988750 1021955 1048187 1056550 1083670 1087625 1168750 1192037 1198750 1200625 1235090 1280950 1300670 1315885 1318625 1358599 1366250 1430737 1455625 1479170 1497410 1502875 1553750 1636250 1647151 1680875 1702910 1729126 1793330 1842239 1883750 1912750 1935125 2037875 2043910 2096374 2099653 2104025 2175250 2322625 2384074 2401250 2471875 2545597 2631770 2637250 2641375 2709175 2717198 2861474 2894947 2911250 2996875 3005750 3087725 3202375 3251675 3294302 3361750 3415625 3684478 3697925 3743525 3870250 3884375 4075750 4090625 4199306 4208050 4257275 4322815 4483325 4645250 4709375 4781875 4943750 5091194 5109775 5240935 5282750 5418350 5438125 5789894 5960185 5993750 6003125 6175450 6404750 6503350 6579425 6593125 6792995 6831250 7153685 7278125 7395850 7487050 7514375 7768750 8181250 8235755 8404375 8514550 8645630 8966650 9211195 9418750 9510193 9563750 9675625 10189375 10219550 10481870 10498265 10520125 10876250 11530057 11613125 11920370 12006250 12727985 13158850 13186250 13206875 13545875 13585990 14307370 14474735 14556250 14697571 15028750 15438625 16011875 16258375 16471510 16808750 16920733 17819179 18422390 18489625 18717625 19020386 19351250 20264629 20378750 20996530 21040250 21286375 21614075 22416625 23060114 23096183 23226250 23909375 25455970 25548875 26204675 26413750 27091750 27190625 28001567 28949470 29395142 29800925 30877250 32023750 32516750 32897125 32965625 33841466 33964975 35638358 35768425 36979250 37435250 37571875 40529258 41178775 42021875 42572750 43228150 44833250 46055975 46192366 47550965 47818750 48378125 50946875 51097750 52409350 52491325 52600625 54381250 56003134 57650285 58065625 59601850 63639925 65794250 65931250 66034375 67729375 67929950 71536850 72373675 73487855 75143750 77193125 80059375 81291875 82357550 84043750 84603665 89095895 92111950 92448125 93588125 95101930 96756250 101323145 101893750 104982650 105201250 106431875 108070375 112083125 115300570 115480915 116131250 118445131 127279850 127744375 131023375 132068750 135458750 140007835 144747350 146975710 149004625 154386250 160118750 161673281 162583750 164485625 169207330 169824875 178191790 178842125 184896250 186128063 187176250 196010969 202646290 205893875 212863750 216140750 224166250 230279875 230961830 236890262 237754825 255488750 262046750 262456625 263003125 280015670 287652461 288251425 298009250 318199625 323346562 328971250 338646875 339649750 357684250 361868375 367439275 372256126 385965625 392021938 406459375 411787750 423018325 445479475 460559750 462240625 467940625 475509650 506615725 524913250 526006250 532159375 540351875 560415625 575304922 576502850 577404575 592225655 636399250 638721875 655116875 677293750 700039175 723736750 734878550 745023125 771931250 808366405 812918750 822428125 846036650 849124375 890958950 894210625 924481250 930640315 935881250 980054845 1013231450 1029469375 1064318750 1080703750 1120831250 1151399375 1154809150 1184451310 1188774125 1277443750 1302896441 1310233750 1312283125 1400078350 1438262305 1441257125 1490046250 1590998125 1616732810 1644856250 1698248750 1788421250 1809341875 1837196375 1861280630 1960109690 2013567227 2058938750 2115091625 2227397375 2302798750 2377548250 2533078625 2605792882 2624566250 2701759375 2876524610 2882514250 2887022875 2961128275 3164177071 3181996250 3275584375 3500195875 3618683750 3674392750 3725115625 4027134454 4041832025 4230183250 4245621875 4454794750 4471053125 4653201575 4900274225 5066157250 5147346875 5403518750 5756996875 5774045750 5922256550 5943870625 6328354142 6514482205 6551168750 6561415625 7000391750 7191311525 7206285625 7450231250 7954990625 8083664050 8491243750 8942106250 9046709375 9185981875 9306403150 9800548450 10067836135 10294693750 10575458125 11136986875 11513993750 11887741250 12665393125 13028964410 13122831250 14382623050 14412571250 14435114375 14805641375 15820885355 15909981250 17500979375 18093418750 18371963750 20135672270 20209160125 21150916250 22149239497 22273973750 23266007875 24501371125 25330786250 28870228750 29611282750 29719353125 31641770710 32572411025 35001958750 35956557625 36031428125 40418320250 44298478994 45929909375 46532015750 49002742250 50339180675 52877290625 55684934375 59438706250 63326965625 65144822050 71913115250 72062856250 72175571875 74028206875 79104426775 87504896875 91859818750 100678361350 101045800625 105754581250 110746197485 111369868750 116330039375 122506855625 126653931250 144351143750 148056413750 158208853550 162862055125 175009793750 179782788125 202091601250 221492394970 232660078750 245013711250 251695903375 325724110250 359565576250 370141034375 395522133875 503391806750 505229003125 553730987425 581650196875 612534278125 740282068750 791044267750 814310275625 898913940625 1010458006250 1107461974850 1163300393750 1225068556250 1258479516875 1628620551250 1797827881250 1977610669375 2516959033750 2768654937125 3955221338750 4071551378125 5537309874250 6292397584375 8143102756250 9888053346875 12584795168750 13843274685625 19776106693750 27686549371250 69216373428125 138432746856250
- Sum of all divisors σ(n): 348496556792832
- Sum of proper divisors (its aliquot sum) s(n): 210063809936582
- 138432746856250 is an abundant number, because the sum of its proper divisors (210063809936582) is greater than itself. Its abundance is 71631063080332
Bases of 138432746856250
- Binary: 111110111100111011000101011001110011111001110102
- Hexadecimal: 0x7DE762B39F3A
- Base-36: 1D2J4J90SA
Squares and roots of 138432746856250
- 138432746856250 squared (1384327468562502) is 19163625402166594258164062500
- 138432746856250 cubed (1384327468562503) is 2652873304146130243230630423943603515625000
-
The
square root of 138432746856250 is 11765744.6367091445 -
The
cube root of 138432746856250 is 51730.4526802555
Scales and comparisons
How big is 138432746856250?- 138,432,746,856,250 seconds is equal to 4,401,733 years, 7 weeks, 5 days, 9 hours, 24 minutes, 10 seconds.
-
To count from 1 to 138,432,746,856,250 would take you about eleven million, four thousand, three hundred thirty-two 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 138432746856250 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138432746856250
- 138432746856250 backwards is 052658647234831
- The number of decimal digits it has is: 15
- The sum of 138432746856250's digits is 64
- More coming soon!
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The information we have on file for 138432746856250 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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