138047023800
138,047,023,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138047023800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138047023800 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 138047023800:
23 × 32 × 52 × 72 × 29 × 31 × 1741
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 29 × 31 × 1741)See below for interesting mathematical facts about the number 138047023800 from the Numbermatics database.
Names of 138047023800
- Cardinal: 138047023800 can be written as One hundred thirty-eight billion, forty-seven million, twenty-three thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380470238 × 1011
Factors of 138047023800
Divisors of 138047023800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 29 30 31 35 36 40 42 45 49 50 56 58 60 62 63 70 72 75 84 87 90 93 98 100 105 116 120 124 126 140 145 147 150 155 168 174 175 180 186 196 200 203 210 217 225 232 245 248 252 261 279 280 290 294 300 310 315 348 350 360 372 392 406 420 434 435 441 450 465 490 504 522 525 558 580 588 600 609 620 630 651 696 700 725 735 744 775 812 840 868 870 882 899 900 930 980 1015 1044 1050 1085 1116 1160 1176 1218 1225 1240 1260 1302 1305 1395 1400 1421 1450 1470 1519 1550 1575 1624 1736 1740 1741 1764 1798 1800 1827 1860 1953 1960 2030 2088 2100 2170 2175 2205 2232 2325 2436 2450 2520 2604 2610 2697 2790 2842 2900 2940 3038 3045 3100 3150 3255 3480 3482 3528 3596 3654 3675 3720 3906 4060 4200 4263 4340 4350 4410 4495 4557 4650 4872 4900 5075 5208 5220 5223 5394 5425 5580 5684 5800 5880 6076 6090 6200 6293 6300 6510 6525 6964 6975 7105 7192 7308 7350 7595 7812 8091 8120 8526 8680 8700 8705 8820 8990 9114 9135 9300 9765 9800 10150 10440 10446 10788 10850 11025 11160 11368 12152 12180 12187 12586 12600 12789 13020 13050 13485 13671 13928 13950 14210 14616 14700 15190 15225 15624 15669 16182 16275 17052 17400 17410 17640 17980 18228 18270 18600 18879 19530 20300 20892 21315 21576 21700 22050 22475 22785 24360 24374 25172 25578 26040 26100 26115 26970 27342 27900 28420 29400 30380 30450 31338 31465 32364 32550 34104 34820 35525 35960 36456 36540 36561 37758 37975 39060 40455 40600 41784 42630 43400 43525 44051 44100 44950 45570 45675 48748 48825 50344 50489 51156 52200 52230 53940 53971 54684 55800 56637 56840 60760 60900 60935 62676 62930 63945 64728 65100 67425 68355 69640 71050 73080 73122 75516 75950 78120 78345 80910 85260 85309 87050 88102 88200 89900 91140 91350 94395 97496 97650 100978 102312 104460 106575 107880 107942 109368 109683 113274 113925 121800 121870 125352 125860 127890 130200 130575 132153 134850 136710 142100 146244 151032 151467 151900 156690 157325 161820 161913 170520 170618 174100 176204 179800 182280 182700 182805 188790 195300 201956 202275 208920 213150 215884 219366 220255 226548 227850 243740 251720 252445 255780 255927 261150 264306 269700 269855 273420 283185 284200 292488 302934 303800 304675 313380 314650 319725 323640 323826 341236 341775 348200 352408 353423 365400 365610 377580 377797 390600 391725 396459 403912 404550 426300 426545 431768 438732 440510 453096 454401 455700 471975 485739 487480 504890 511560 511854 522300 528612 539400 539710 546840 548415 566370 605868 609350 626760 629300 639450 647652 660765 682472 683550 706846 731220 755160 755594 757335 767781 783450 792918 809100 809565 852600 853090 877464 881020 908802 911400 914025 943950 971478 1009780 1023708 1044600 1057224 1060269 1079420 1096830 1101275 1132740 1133391 1211736 1218700 1258600 1262225 1278900 1279635 1295304 1321530 1349275 1367100 1413692 1415925 1462440 1511188 1514670 1535562 1565159 1566900 1585836 1618200 1619130 1706180 1762040 1767115 1817604 1828050 1887900 1888985 1942956 1982295 2019560 2047416 2120538 2132725 2158840 2193660 2202550 2265480 2266782 2272005 2428695 2437400 2473961 2524450 2557800 2559270 2643060 2644579 2698550 2734200 2742075 2827384 2831850 3022376 3029340 3071124 3130318 3133800 3171672 3180807 3238260 3303825 3400173 3412360 3534230 3635208 3656100 3775800 3777970 3786675 3838905 3885912 3964590 4047825 4241076 4265450 4387320 4405100 4533564 4544010 4695477 4857390 4947922 5048900 5118540 5286120 5289158 5301345 5397100 5484150 5663700 5666955 6058680 6142248 6260636 6361614 6398175 6476520 6607650 6800346 7068460 7312200 7421883 7555940 7573350 7677810 7825795 7929180 7933737 8095650 8482152 8530900 8810200 8835575 9067128 9088020 9390954 9444925 9714780 9895844 9911475 10097800 10237080 10578316 10602690 10794200 10956113 10968300 11327400 11333910 11360025 12143475 12369805 12521272 12723228 12796350 13215300 13222895 13600692 14086431 14136920 14843766 15111880 15146700 15355620 15651590 15858360 15867474 15904035 16191300 17000865 17061800 17671150 18176040 18781908 18889850 19194525 19429560 19791688 19822950 21156632 21205380 21912226 21936600 22265649 22667820 22720050 23477385 23801211 24286950 24739610 25446456 25592700 26430600 26445790 26506725 27201384 28172862 28334775 29687532 30293400 30711240 31303180 31734948 31808070 32382600 32868339 34001730 35342300 37109415 37563816 37779700 38389050 39128975 39645900 39668685 42410760 43824452 44531298 45335640 45440100 46954770 47602422 48573900 49479220 51185400 52891580 53013450 54780565 56345724 56669550 59375064 61849025 62606360 63469896 63616140 65736678 66114475 68003460 70432155 70684600 74218830 75559400 76692791 76778100 78257950 79291800 79337370 79520175 85004325 87648904 89062596 90880200 93909540 95204844 97147800 98605017 98958440 105783160 106026900 109561130 111328245 112691448 113339100 117386925 119006055 123698050 127232280 131473356 132228950 136006920 140864310 148437660 153385582 153556200 156515900 158674740 159040350 164341695 170008650 178125192 185547075 187819080 190409688 197210034 198343425 212053800 219122260 222656490 226678200 230078373 234773850 238012110 247396100 262946712 264457900 273902825 281728620 296875320 306771164 313031800 317349480 318080700 328683390 340017300 352160775 371094150 383463955 394420068 396686850 438244520 445312980 460156746 469547700 476024220 493025085 494792200 528915800 547805650 556641225 563457240 595030275 613542328 636161400 657366780 680034600 690235119 704321550 742188300 766927910 788840136 793373700 821708475 890625960 920313492 939095400 952048440 986050170 1095611300 1113282450 1150391865 1190060550 1314733560 1380470238 1408643100 1484376600 1533855820 1586747400 1643416950 1840626984 1917319775 1972100340 2191222600 2226564900 2300783730 2380121100 2465125425 2760940476 2817286200 3067711640 3286833900 3451175595 3834639550 3944200680 4453129800 4601567460 4760242200 4930250850 5521880952 5751959325 6573667800 6902351190 7669279100 9203134920 9860501700 11503918650 13804702380 15338558200 17255877975 19721003400 23007837300 27609404760 34511755950 46015674600 69023511900 138047023800
- Sum of all divisors σ(n): 576222940800
- Sum of proper divisors (its aliquot sum) s(n): 438175917000
- 138047023800 is an abundant number, because the sum of its proper divisors (438175917000) is greater than itself. Its abundance is 300128893200
Bases of 138047023800
- Binary: 100000001001000011111001101010101110002
- Hexadecimal: 0x20243E6AB8
- Base-36: 1RF1MTA0
Squares and roots of 138047023800
- 138047023800 squared (1380470238002) is 19056980780037766440000
- 138047023800 cubed (1380470238003) is 2630759479298016108641521272000000
-
The
square root of 138047023800 is 371546.7989365539 -
The
cube root of 138047023800 is 5168.2361482789
Scales and comparisons
How big is 138047023800?- 138,047,023,800 seconds is equal to 4,389 years, 24 weeks, 2 days, 11 hours, 30 minutes.
-
To count from 1 to 138,047,023,800 would take you about eight thousand, seven hundred seventy-eight 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 138047023800 cubic inches would be around 430.7 feet tall.
Recreational maths with 138047023800
- 138047023800 backwards is 008320740831
- 138047023800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138047023800's digits is 36
- More coming soon!
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