138319848371250
138,319,848,371,250 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138319848371250 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
138319848371250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138319848371250:
2 × 32 × 54 × 7 × 132 × 541 × 19211
(2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 541 × 19211)See below for interesting mathematical facts about the number 138319848371250 from the Numbermatics database.
Names of 138319848371250
- Cardinal: 138319848371250 can be written as One hundred thirty-eight trillion, three hundred nineteen billion, eight hundred forty-eight million, three hundred seventy-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3831984837125 × 1014
Factors of 138319848371250
Divisors of 138319848371250
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 125 126 130 150 169 175 182 195 210 225 234 250 273 315 325 338 350 375 390 450 455 507 525 541 546 585 625 630 650 750 819 845 875 910 975 1014 1050 1082 1125 1170 1183 1250 1365 1521 1575 1623 1625 1638 1690 1750 1875 1950 2250 2275 2366 2535 2625 2705 2730 2925 3042 3150 3246 3250 3549 3750 3787 4095 4225 4375 4550 4869 4875 5070 5250 5410 5625 5850 5915 6825 7033 7098 7574 7605 7875 8115 8125 8190 8450 8750 9738 9750 10647 11250 11361 11375 11830 12675 13125 13525 13650 14066 14625 15210 15750 16230 16250 17745 18935 19211 20475 21099 21125 21294 22722 22750 24345 24375 25350 26250 27050 29250 29575 34083 34125 35165 35490 37870 38025 38422 39375 40575 40950 42198 42250 48690 48750 49231 53235 56805 56875 57633 59150 63297 63375 67625 68166 68250 70330 73125 76050 78750 81150 88725 91429 94675 96055 98462 102375 105495 105625 106470 113610 113750 115266 121725 126594 126750 134477 135250 146250 147693 147875 170415 170625 172899 175825 177450 182858 189350 190125 192110 202875 204750 210990 211250 243450 246155 249743 266175 268954 274287 284025 288165 295386 295750 316485 316875 338125 340830 341250 345798 351650 380250 403431 405750 443079 443625 457145 473375 480275 492310 499486 511875 527475 532350 548574 568050 576330 608625 632970 633750 640003 672385 676250 738465 739375 749229 806862 822861 852075 864495 879125 886158 887250 914290 946750 950625 960550 1014375 1023750 1054950 1210293 1217250 1230775 1248715 1280006 1330875 1344770 1371435 1420125 1440825 1476930 1478750 1498458 1582425 1645722 1704150 1728990 1748201 1758250 1901250 1920009 2017155 2028750 2215395 2218125 2247687 2285725 2366875 2401375 2420586 2461550 2497430 2637375 2661750 2742870 2840250 2881650 3043125 3164850 3200015 3246659 3361925 3496402 3692325 3746145 3840018 4034310 4114305 4260375 4322475 4395625 4430790 4436250 4495374 4571450 4733750 4802750 5244603 5274750 5760027 6051465 6086250 6153875 6243575 6400030 6493318 6654375 6723850 6857175 7100625 7204125 7384650 7492290 7912125 8228610 8520750 8644950 8741005 8791250 9600045 9739977 10085775 10393151 10489206 11076975 11238435 11428625 11520054 12006875 12102930 12307750 12487150 13186875 13308750 13714350 14201250 14408250 15733809 15824250 16000075 16233295 16809625 17482010 18461625 18730725 19200090 19479954 20171550 20571525 20786302 21301875 21612375 22153950 22476870 22726613 22857250 24013750 26223015 26373750 28800135 29219931 30257325 30769375 31179453 31217875 31467618 32000150 32466590 33619250 34285875 36020625 36923250 37461450 39560625 41143050 42603750 43224750 43705025 45453226 48000225 48699885 50428875 51965755 52446030 55384875 56192175 57143125 57600270 58439862 60514650 61538750 62358906 62435750 68179839 68571750 72041250 72752057 78669045 79121250 80000375 81166475 84048125 87410050 92308125 93538359 93653625 96000450 97399770 100857750 102857625 103931510 108061875 110769750 112384350 113633065 114286250 131115075 135110963 136359678 144000675 145504114 146099655 151286625 155897265 156089375 157338090 160000750 162332950 168096250 171429375 184616250 187076718 187307250 204539517 205715250 216123750 218256171 218525125 227266130 240001125 243499425 252144375 259828775 262230150 270221926 276924375 280960875 288001350 292199310 302573250 311794530 312178750 340899195 342858750 363760285 393345225 400001875 405332889 405832375 409079034 436512342 437050250 467691795 468268125 480002250 486998850 504288750 514288125 519657550 553848750 561921750 568165325 654768513 655575375 675554815 681798390 720003375 727520570 730498275 756433125 779486325 786690450 800003750 810665778 811664750 935383590 936536250 945776741 1022697585 1028576250 1091280855 1092625625 1136330650 1200005625 1215998667 1217497125 1299143875 1309537026 1311150750 1351109630 1404804375 1440006750 1460996550 1512866250 1558972650 1704495975 1756442519 1818801425 1891553482 1966726125 2026664445 2029161875 2045395170 2182561710 2185251250 2338458975 2400011250 2431997334 2434994250 2598287750 2809608750 2837330223 2840826625 3273842565 3277876875 3377774075 3408991950 3512885038 3600016875 3637602850 3652491375 3897431625 3933452250 4053328890 4058323750 4676917950 4728883705 5113487925 5269327557 5456404275 5674660446 5681653250 6079993335 6087485625 6495719375 6547685130 6555753750 6755548150 7200033750 7304982750 7794863250 8511990669 8522479875 8782212595 9094007125 9457767410 9833630625 10133322225 10226975850 10538655114 10912808550 11692294875 12159986670 12174971250 12295097633 12991438750 14186651115 14204133125 15807982671 16369212825 16888870375 17023981338 17044959750 17564425190 18188014250 18262456875 19487158125 19667261250 20266644450 23384589750 23644418525 24590195266 25567439625 26346637785 27282021375 28373302230 28408266250 30399966675 31615965342 32738425650 33777740750 36524913750 36885292899 38974316250 42559953345 42612399375 43911062975 45470035625 47288837050 50666611125 51134879250 52693275570 54564042750 58461474375 60799933350 61475488165 70933255575 73770585798 79039913355 81846064125 84444351875 85119906690 85224798750 87822125950 90940071250 101333222250 110655878697 116922948750 118222092625 122950976330 127837198125 131733188925 136410106875 141866511150 151999833375 158079826710 163692128250 168888703750 184426464495 212799766725 219555314875 221311757394 236444185250 253333055625 255674396250 263466377850 272820213750 303999666750 307377440825 354666277875 368852928990 395199566775 409230320625 425599533450 439110629750 506666111250 553279393485 591110463125 614754881650 658665944625 709332555750 759999166875 790399133550 818460641250 922132322475 1063998833625 1097776574375 1106558786970 1182220926250 1317331889250 1519998333750 1536887204125 1773331389375 1844264644950 1975997833875 2127997667250 2195553148750 2766396967425 3073774408250 3293329723125 3546662778750 3951995667750 4610661612375 5319994168125 5532793934850 6586659446250 7684436020625 9221323224750 9879989169375 10639988336250 13831984837125 15368872041250 19759978338750 23053308061875 27663969674250 46106616123750 69159924185625 138319848371250
- Sum of all divisors σ(n): 464331965258304
- Sum of proper divisors (its aliquot sum) s(n): 326012116887054
- 138319848371250 is an abundant number, because the sum of its proper divisors (326012116887054) is greater than itself. Its abundance is 187692268515804
Bases of 138319848371250
- Binary: 111110111001101000110010110110101110100001100102
- Hexadecimal: 0x7DCD196D7432
- Base-36: 1D139EEO8I
Squares and roots of 138319848371250
- 138319848371250 squared (1383198483712502) is 19132380453445591277826562500
- 138319848371250 cubed (1383198483712503) is 2646387963301661505160771657255611328125000
-
The
square root of 138319848371250 is 11760945.8961109925 -
The
cube root of 138319848371250 is 51716.3859745413
Scales and comparisons
How big is 138319848371250?- 138,319,848,371,250 seconds is equal to 4,398,143 years, 16 weeks, 6 days, 23 hours, 7 minutes, 30 seconds.
-
To count from 1 to 138,319,848,371,250 would take you about ten million, nine hundred ninety-five thousand, three hundred fifty-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 138319848371250 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138319848371250
- 138319848371250 backwards is 052173848913831
- 138319848371250 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138319848371250's digits is 63
- More coming soon!
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The information we have on file for 138319848371250 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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