138146670200
138,146,670,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138146670200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138146670200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138146670200:
23 × 52 × 72 × 11 × 31 × 67 × 617
(2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 31 × 67 × 617)See below for interesting mathematical facts about the number 138146670200 from the Numbermatics database.
Names of 138146670200
- Cardinal: 138146670200 can be written as One hundred thirty-eight billion, one hundred forty-six million, six hundred seventy thousand, two hundred.
Scientific notation
- Scientific notation: 1.381466702 × 1011
Factors of 138146670200
Divisors of 138146670200
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 20 22 25 28 31 35 40 44 49 50 55 56 62 67 70 77 88 98 100 110 124 134 140 154 155 175 196 200 217 220 245 248 268 275 280 308 310 335 341 350 385 392 434 440 469 490 536 539 550 616 617 620 670 682 700 737 770 775 868 938 980 1078 1085 1100 1225 1234 1240 1340 1364 1400 1474 1519 1540 1550 1675 1705 1736 1876 1925 1960 2077 2156 2170 2200 2345 2387 2450 2468 2680 2695 2728 2948 3038 3080 3085 3100 3283 3350 3410 3685 3752 3850 4154 4312 4319 4340 4690 4774 4900 4936 5159 5390 5425 5896 6076 6170 6200 6566 6700 6787 6820 7370 7595 7700 8308 8525 8638 8680 9380 9548 9800 10318 10385 10780 10850 11725 11935 12152 12340 13132 13400 13475 13574 13640 14539 14740 15190 15400 15425 16415 16616 16709 17050 17276 18425 18760 19096 19127 20636 20770 21560 21595 21700 22847 23450 23870 24680 25795 26264 26950 27148 29078 29480 30233 30380 30850 32830 33418 33935 34100 34552 36113 36850 37975 38254 41272 41339 41540 43190 43400 45694 46900 47509 47740 51590 51925 53900 54296 58156 59675 60466 60760 61700 65660 66836 67870 68200 72226 72695 73700 75950 76508 82075 82678 83080 83545 86380 91388 93800 95018 95480 95635 101773 103180 103850 107800 107975 114235 116312 119350 120932 123400 128975 131320 133672 133889 135740 144452 145390 147400 151165 151900 153016 159929 164150 165356 167090 169675 172760 180565 182776 190036 191270 203546 206360 206695 207700 210397 215950 228470 237545 238700 241864 257950 267778 271480 288904 289373 290780 302330 303800 319858 328300 330712 332563 334180 339350 361130 363475 380072 382540 407092 413390 415400 417725 420794 431900 454729 456940 475090 477400 478175 508865 515900 535556 571175 578746 581560 604660 639716 656600 665126 668360 669445 678700 722260 726950 755825 765080 799645 814184 826780 835450 841588 863800 902825 909458 913880 937223 950180 956350 1017730 1031800 1033475 1051985 1071112 1119503 1142350 1157492 1187725 1209320 1279432 1281509 1330252 1338890 1357400 1444520 1446865 1453900 1472779 1511650 1599290 1653560 1662815 1670900 1683176 1805650 1818916 1874446 1900360 1912700 2025611 2035460 2066950 2103970 2239006 2273645 2284700 2314984 2375450 2544325 2563018 2660504 2677780 2893730 2907800 2945558 3023300 3183103 3198580 3325630 3341800 3347225 3611300 3637832 3748892 3825400 3998225 4051222 4070920 4133900 4207940 4478012 4547290 4569400 4686115 4750900 5088650 5126036 5259925 5355560 5597515 5787460 5891116 6046600 6366206 6397160 6407545 6651260 6694450 7222600 7234325 7363895 7497784 7996450 8102444 8267800 8314075 8415880 8956024 8970563 9094580 9372230 9501800 10128055 10177300 10252072 10309453 10519850 11195030 11368225 11574920 11782232 12732412 12815090 13302520 13388900 14096599 14468650 14727790 15915515 15992900 16204888 16628150 17941126 18189160 18744460 20256110 20354600 20618906 21039700 22281721 22390060 22736450 23430575 25464824 25630180 26777800 27987575 28193198 28937300 29455580 31831030 31985800 32037725 33256300 35882252 36819475 37488920 40512220 41237812 42079400 44563442 44780120 44852815 45472900 46861150 50640275 51260360 51547265 55975150 56386396 57874600 58911160 62793941 63662060 64075450 66512600 70482995 71764504 73638950 79577575 81024440 82475624 89126884 89705630 90945800 93722300 98676193 101280550 103094530 111408605 111950300 112772792 125587882 127324120 128150900 140965990 147277900 159155150 178253768 179411260 187444600 197352386 202561100 206189060 222817210 223900600 224264075 251175764 256301800 257736325 281931980 294555800 313969705 318310300 352414975 358822520 394704772 405122200 412378120 445634420 448528150 493380965 502351528 515472650 557043025 563863960 627939410 636620600 690733351 704829950 789409544 891268840 897056300 986761930 1030945300 1114086050 1255878820 1381466702 1409659900 1569848525 1794112600 1973523860 2061890600 2228172100 2466904825 2511757640 2762933404 2819319800 3139697050 3453666755 3947047720 4456344200 4933809650 5525866808 6279394100 6907333510 9867619300 12558788200 13814667020 17268333775 19735238600 27629334040 34536667550 69073335100 138146670200
- Sum of all divisors σ(n): 427716910080
- Sum of proper divisors (its aliquot sum) s(n): 289570239880
- 138146670200 is an abundant number, because the sum of its proper divisors (289570239880) is greater than itself. Its abundance is 151423569680
Bases of 138146670200
- Binary: 100000001010100010111011100110011110002
- Hexadecimal: 0x202A2EE678
- Base-36: 1RGOYKXK
Squares and roots of 138146670200
- 138146670200 squared (1381466702002) is 19084502487347568040000
- 138146670200 cubed (1381466702003) is 2636460471050684154793940408000000
-
The
square root of 138146670200 is 371680.8714475363 -
The
cube root of 138146670200 is 5169.4793774553
Scales and comparisons
How big is 138146670200?- 138,146,670,200 seconds is equal to 4,392 years, 33 weeks, 19 hours, 3 minutes, 20 seconds.
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To count from 1 to 138,146,670,200 would take you about eight thousand, seven hundred eighty-five 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 138146670200 cubic inches would be around 430.8 feet tall.
Recreational maths with 138146670200
- 138146670200 backwards is 002076641831
- The number of decimal digits it has is: 12
- The sum of 138146670200's digits is 38
- More coming soon!
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