138212997031200
138,212,997,031,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138212997031200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
138212997031200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138212997031200:
25 × 3 × 52 × 72 × 132 × 19 × 31 × 11807
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 19 × 31 × 11807)See below for interesting mathematical facts about the number 138212997031200 from the Numbermatics database.
Names of 138212997031200
- Cardinal: 138212997031200 can be written as One hundred thirty-eight trillion, two hundred twelve billion, nine hundred ninety-seven million, thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.382129970312 × 1014
Factors of 138212997031200
Divisors of 138212997031200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 31 32 35 38 39 40 42 48 49 50 52 56 57 60 62 65 70 75 76 78 80 84 91 93 95 96 98 100 104 105 112 114 120 124 130 133 140 147 150 152 155 156 160 168 169 175 182 186 190 195 196 200 208 210 217 224 228 240 245 247 248 260 266 273 280 285 294 300 304 310 312 325 336 338 350 364 372 380 390 392 399 400 403 416 420 434 455 456 465 475 480 490 494 496 507 520 525 532 546 560 570 588 589 600 608 620 624 637 650 651 665 672 676 700 728 735 741 744 760 775 780 784 798 800 806 840 845 868 910 912 930 931 950 975 980 988 992 1014 1040 1050 1064 1085 1092 1120 1140 1176 1178 1183 1200 1209 1225 1235 1240 1248 1274 1300 1302 1330 1352 1365 1400 1425 1456 1470 1482 1488 1519 1520 1550 1560 1568 1596 1612 1680 1690 1729 1736 1767 1820 1824 1860 1862 1900 1911 1950 1960 1976 1995 2015 2028 2080 2100 2128 2170 2184 2275 2280 2325 2352 2356 2366 2400 2418 2450 2470 2480 2535 2548 2600 2604 2660 2704 2730 2793 2800 2821 2850 2912 2940 2945 2964 2976 3038 3040 3100 3120 3185 3192 3211 3224 3255 3325 3360 3380 3458 3472 3534 3549 3640 3675 3705 3720 3724 3800 3822 3900 3920 3952 3990 4030 4056 4123 4200 4225 4256 4340 4368 4550 4557 4560 4650 4655 4704 4712 4732 4836 4900 4940 4960 5070 5096 5187 5200 5208 5239 5320 5408 5425 5460 5586 5600 5642 5700 5880 5890 5915 5928 6045 6076 6175 6200 6240 6370 6384 6422 6448 6510 6650 6760 6825 6916 6944 7068 7098 7280 7350 7410 7440 7448 7595 7600 7644 7657 7800 7840 7904 7980 8060 8112 8246 8281 8400 8450 8463 8645 8680 8736 8835 9100 9114 9120 9300 9310 9424 9464 9555 9633 9672 9800 9880 9975 10075 10140 10192 10374 10400 10416 10478 10640 10850 10920 11172 11284 11400 11760 11780 11807 11830 11856 12090 12103 12152 12350 12369 12400 12675 12740 12768 12844 12896 13020 13300 13520 13650 13832 13965 14105 14136 14196 14560 14700 14725 14820 14880 14896 15190 15200 15288 15314 15600 15717 15925 15960 16055 16120 16224 16275 16492 16562 16800 16900 16926 17290 17360 17670 17745 18200 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44299037510 44584837752 45464801655 45494732400 46442539325 46630565800 46931408160 47011223480 47463254475 48495788432 48994327200 49361784654 49485498400 50627471440 51114274050 51959773320 53077187800 53158845012 54243719400 54521892320 55731047190 55956678960 56413468176 57160048400 57588748763 58416313200 58664260200 58764029350 59446450336 60619735540 60752965728 63284339300 63692625360 64949716650 65815712872 66448556265 68152365400 68592058080 69279697760 69945848700 70516835220 70878460016 72324959200 72743682648 74228247600 74308062920 75774669425 75941207160 78219013600 79615781700 79938112800 81782838480 82269641090 85740072600 86599622200 88146044025 88598075020 89169675504 90929603310 90989464800 92885078650 93261131600 94022446960 94926508950 96991576864 98723569308 101254942880 102228548100 103919546640 106154375600 106317690024 108487438800 110747593775 111462094380 111913357920 112826936352 114320096800 115177497526 116832626400 117328520400 117528058700 121239471080 123404461635 126568678600 127385250720 129899433300 131631425744 132897112530 136304730800 139327617975 139891697400 141033670440 141756920032 145487365296 148456495200 148616125840 151549338850 151882414320 159231563400 163565676960 164539282180 171480145200 172766246289 173199244400 176292088050 177196150040 178339351008 181859206620 185770157300 186522263200 188044893920 189853017900 197447138616 204457096200 205674102725 207839093280 212308751200 212635380048 216974877600 221495187550 222924188760 227324008275 230354995052 234657040800 235056117400 242478942160 246808923270 253137357200 259798866600 263262851488 265794225060 272609461600 278655235950 279783394800 282067340880 287943743815 290974730592 297232251680 303098677700 303764828640 318463126800 329078564360 332242781325 342960290400 345532492578 346398488800 352584176100 354392300080 363718413240 371540314600 379706035800 394894277232 408914192400 411348205450 425270760096 442990375100 445848377520 454648016550 460709990104 470112234800 484957884320 493617846540 506274714400 519597733200 531588450120 557310471900 559566789600 564134681760 575887487630 606197355400 617022308175 636926253600 658157128720 664485562650 691064985156 705168352200 708784600160 727436826480 743080629200 759412071600 789788554464 817828384800 822696410900 863831231445 885980750200 891696755040 909296033100 921419980208 940224469600 987235693080 1039195466400 1063176900240 1114620943800 1151774975260 1212394710800 1234044616350 1316314257440 1328971125300 1382129970312 1410336704400 1439718719075 1454873652960 1486161258400 1518824143200 1645392821800 1727662462890 1771961500400 1818592066200 1842839960416 1974471386160 2126353800480 2229241887600 2303549950520 2424789421600 2468089232700 2657942250600 2764259940624 2820673408800 2879437438150 3290785643600 3455324925780 3543923000800 3637184132400 3948942772320 4319156157225 4458483775200 4607099901040 4936178465400 5315884501200 5528519881248 5758874876300 6581571287200 6910649851560 7274368264800 8638312314450 9214199802080 9872356930800 10631769002400 11517749752600 13821299703120 17276624628900 19744713861600 23035499505200 27642599406240 34553249257800 46070999010400 69106498515600 138212997031200
- Sum of all divisors σ(n): 615806825840640
- Sum of proper divisors (its aliquot sum) s(n): 477593828809440
- 138212997031200 is an abundant number, because the sum of its proper divisors (477593828809440) is greater than itself. Its abundance is 339380831778240
Bases of 138212997031200
- Binary: 111110110110100001110001001011101100101001000002
- Hexadecimal: 0x7DB438976520
- Base-36: 1CZQ69VMLC
Squares and roots of 138212997031200
- 138212997031200 squared (1382129970312002) is 19102832548346500013773440000
- 138212997031200 cubed (1382129970312003) is 2640259738292125536872579221829411328000000
-
The
square root of 138212997031200 is 11756402.3847093631 -
The
cube root of 138212997031200 is 51703.0656671859
Scales and comparisons
How big is 138212997031200?- 138,212,997,031,200 seconds is equal to 4,394,745 years, 40 weeks, 5 days, 15 hours, 20 minutes.
-
To count from 1 to 138,212,997,031,200 would take you about ten million, nine hundred eighty-six thousand, eight hundred sixty-four 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 138212997031200 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138212997031200
- 138212997031200 backwards is 002130799212831
- 138212997031200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138212997031200's digits is 48
- More coming soon!
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"Number 138212997031200 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138212997031200 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138212997031200/
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The information we have on file for 138212997031200 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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