138470371200
138,470,371,200 is an even composite number composed of six prime numbers multiplied together.
138470371200 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 138470371200:
27 × 32 × 52 × 7 × 73 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 73 × 97 × 97)See below for interesting mathematical facts about the number 138470371200 from the Numbermatics database.
Names of 138470371200
- Cardinal: 138470371200 can be written as One hundred thirty-eight billion, four hundred seventy million, three hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.384703712 × 1011
Factors of 138470371200
Divisors of 138470371200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 73 75 80 84 90 96 97 100 105 112 120 126 128 140 144 146 150 160 168 175 180 192 194 200 210 219 224 225 240 252 280 288 291 292 300 315 320 336 350 360 365 384 388 400 420 438 448 450 480 485 504 511 525 560 576 582 584 600 630 640 657 672 679 700 720 730 776 800 840 873 876 896 900 960 970 1008 1022 1050 1095 1120 1152 1164 1168 1200 1260 1314 1344 1358 1400 1440 1455 1460 1533 1552 1575 1600 1680 1746 1752 1800 1825 1920 1940 2016 2037 2044 2100 2190 2240 2328 2336 2400 2425 2520 2555 2628 2688 2716 2800 2880 2910 2920 3066 3104 3150 3200 3285 3360 3395 3492 3504 3600 3650 3880 4032 4074 4088 4200 4365 4380 4480 4599 4656 4672 4800 4850 5040 5110 5256 5432 5475 5600 5760 5820 5840 6111 6132 6208 6300 6570 6720 6790 6984 7008 7081 7200 7275 7300 7665 7760 8064 8148 8176 8400 8730 8760 9198 9312 9344 9409 9600 9700 10080 10185 10220 10512 10864 10950 11200 11640 11680 12222 12264 12416 12600 12775 13140 13440 13580 13968 14016 14162 14400 14550 14600 15330 15520 16296 16352 16425 16800 16975 17460 17520 18396 18624 18818 19400 20160 20370 20440 21024 21243 21728 21825 21900 22400 22995 23280 23360 24444 24528 25200 25550 26280 27160 27936 28032 28227 28324 28800 29100 29200 30555 30660 31040 32592 32704 32850 33600 33950 34920 35040 35405 36792 37248 37636 38325 38800 40320 40740 40880 42048 42486 43456 43650 43800 45990 46560 46720 47045 48888 49056 49567 50400 50925 51100 52560 54320 55872 56454 56648 58200 58400 61110 61320 62080 63729 65184 65408 65700 65863 67200 67900 69840 70080 70810 73584 75272 76650 77600 81480 81760 84096 84681 84972 86912 87300 87600 91980 93120 94090 97776 98112 99134 100800 101850 102200 105120 106215 108640 111744 112908 113296 114975 116400 116800 122220 122640 127458 130368 131400 131726 135800 139680 140160 141135 141620 147168 148701 150544 152775 153300 155200 162960 163520 169362 169944 174600 175200 177025 183960 186240 188180 195552 196224 197589 198268 201600 203700 204400 210240 212430 217280 225816 226592 229950 232800 233600 235225 244440 245280 247835 254916 260736 262800 263452 271600 279360 282270 283240 294336 297402 301088 305550 306600 310400 318645 325920 327040 329315 338724 339888 349200 350400 354050 367920 376360 391104 395178 396536 407400 408800 420480 423405 424860 434560 446103 451632 453184 459900 465600 470450 488880 490560 495670 509832 525600 526904 531075 543200 558720 564540 566480 588672 592767 594804 602176 611100 613200 637290 651840 658630 677448 679776 686857 698400 700800 705675 708100 735840 743505 752720 782208 790356 793072 814800 817600 846810 849720 892206 903264 906368 919800 931200 940900 977760 981120 987945 991340 1019664 1051200 1053808 1062150 1086400 1129080 1132960 1185534 1189608 1204352 1222200 1226400 1239175 1274580 1303680 1317260 1354896 1359552 1373714 1396800 1411350 1416200 1471680 1487010 1505440 1580712 1586144 1593225 1629600 1635200 1646575 1693620 1699440 1784412 1806528 1839600 1881800 1955520 1975890 1982680 2039328 2060571 2102400 2107616 2117025 2124300 2172800 2230515 2258160 2265920 2371068 2379216 2444400 2452800 2478350 2549160 2634520 2709792 2719104 2747428 2793600 2822700 2832400 2943360 2963835 2974020 3010880 3161424 3172288 3186450 3259200 3293150 3387240 3398880 3434285 3568824 3613056 3679200 3717525 3763600 3911040 3951780 3965360 4078656 4121142 4215232 4234050 4248600 4461030 4516320 4531840 4742136 4758432 4807999 4888800 4905600 4939725 4956700 5098320 5269040 5419584 5494856 5645400 5664800 5927670 5948040 6021760 6181713 6322848 6344576 6372900 6518400 6586300 6774480 6797760 6868570 7137648 7358400 7435050 7527200 7903560 7930720 8157312 8242284 8430464 8468100 8497200 8922060 9032640 9484272 9516864 9615998 9777600 9879450 9913400 10196640 10302855 10538080 10839168 10989712 11152575 11290800 11329600 11855340 11896080 12363426 12645696 12745800 13172600 13548960 13595520 13737140 14275296 14423997 14716800 14819175 14870100 15054400 15807120 15861440 16484568 16936200 16994400 17171425 17844120 18065280 18968544 19033728 19231996 19555200 19758900 19826800 20393280 20605710 21076160 21979424 22305150 22581600 22659200 23710680 23792160 24039995 24726852 25291392 25491600 26345200 27097920 27474280 28550592 28847994 29638350 29740200 30108800 30908565 31614240 31722880 32969136 33872400 33988800 34342850 35688240 37937088 38463992 39517800 39653600 40786560 41211420 42152320 43271991 43958848 44610300 45163200 47421360 47584320 48079990 49453704 50983200 51514275 52690400 54195840 54948560 57101184 57695988 59276700 59480400 61817130 63228480 65938272 67744800 67977600 68685700 71376480 72119985 75874176 76927984 79035600 79307200 82422840 86543982 87917696 89220600 90326400 94842720 95168640 96159980 98907408 101966400 103028550 105380800 109897120 115391976 118553400 118960800 120199975 123634260 126456960 131876544 135489600 137371400 142752960 144239970 153855968 154542825 158071200 158614400 164845680 173087964 178441200 189685440 192319960 197814816 203932800 206057100 210761600 216359955 219794240 230783952 237106800 237921600 240399950 247268520 263753088 270979200 274742800 285505920 288479940 307711936 309085650 316142400 329691360 346175928 356882400 360599925 379370880 384639920 395629632 412114200 432719910 439588480 461567904 474213600 475843200 480799900 494537040 549485600 576959880 615423872 618171300 632284800 659382720 692351856 713764800 721199850 769279840 791259264 824228400 865439820 923135808 948427200 961599800 989074080 1081799775 1098971200 1153919760 1236342600 1318765440 1384703712 1427529600 1442399700 1538559680 1648456800 1730879640 1846271616 1896854400 1923199600 1978148160 2163599550 2197942400 2307839520 2472685200 2769407424 2884799400 3077119360 3296913600 3461759280 3846399200 3956296320 4327199100 4615679040 4945370400 5538814848 5769598800 6593827200 6923518560 7692798400 8654398200 9231358080 9890740800 11539197600 13847037120 15385596800 17308796400 19781481600 23078395200 27694074240 34617592800 46156790400 69235185600 138470371200
- Sum of all divisors σ(n): 578376218160
- Sum of proper divisors (its aliquot sum) s(n): 439905846960
- 138470371200 is an abundant number, because the sum of its proper divisors (439905846960) is greater than itself. Its abundance is 301435475760
Bases of 138470371200
- Binary: 100000001111010111101000101111100000002
- Hexadecimal: 0x203D7A2F80
- Base-36: 1RM1OM80
Squares and roots of 138470371200
- 138470371200 squared (1384703712002) is 19174043700265789440000
- 138470371200 cubed (1384703712003) is 2655036948580825402417840128000000
-
The
square root of 138470371200 is 372116.0722140337 -
The
cube root of 138470371200 is 5173.5138825877
Scales and comparisons
How big is 138470371200?- 138,470,371,200 seconds is equal to 4,402 years, 48 weeks, 2 days, 8 hours.
-
To count from 1 to 138,470,371,200 would take you about eight thousand, eight hundred 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 138470371200 cubic inches would be around 431.1 feet tall.
Recreational maths with 138470371200
- 138470371200 backwards is 002173074831
- 138470371200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138470371200's digits is 36
- More coming soon!
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