138528102589534440
138,528,102,589,534,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138528102589534440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138528102589534440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138528102589534440:
23 × 32 × 5 × 372 × 412 × 672 × 1932
(2 × 2 × 2 × 3 × 3 × 5 × 37 × 37 × 41 × 41 × 67 × 67 × 193 × 193)See below for interesting mathematical facts about the number 138528102589534440 from the Numbermatics database.
Names of 138528102589534440
- Cardinal: 138528102589534440 can be written as One hundred thirty-eight quadrillion, five hundred twenty-eight trillion, one hundred two billion, five hundred eighty-nine million, five hundred thirty-four thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3852810258953444 × 1017
Factors of 138528102589534440
Divisors of 138528102589534440
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 41 45 60 67 72 74 82 90 111 120 123 134 148 164 180 185 193 201 205 222 246 268 296 328 333 335 360 369 370 386 402 410 444 492 536 555 579 603 615 666 670 738 740 772 804 820 888 965 984 1005 1110 1158 1206 1230 1332 1340 1369 1476 1480 1517 1544 1608 1640 1665 1681 1737 1845 1930 2010 2220 2316 2412 2460 2479 2664 2680 2738 2747 2895 2952 3015 3034 3330 3362 3474 3690 3860 4020 4107 4440 4489 4551 4632 4824 4920 4958 5043 5476 5494 5790 6030 6068 6660 6724 6845 6948 7141 7380 7437 7585 7720 7913 8040 8214 8241 8405 8685 8978 9102 9916 10086 10952 10988 11580 12060 12136 12321 12395 12931 13320 13448 13467 13653 13690 13735 13896 14282 14760 14874 15129 15170 15826 16428 16482 16810 17370 17956 18204 19832 20172 20535 21423 21976 22311 22445 22755 23160 23739 24120 24642 24723 24790 25215 25862 26934 27306 27380 27470 28564 29748 30258 30340 31652 32856 32964 33620 34740 35705 35912 36408 37185 37249 38793 39565 40344 40401 41070 41205 42846 44622 44890 45510 47478 49284 49446 49580 50430 51724 53868 54612 54760 54940 56129 57128 59496 60516 60680 61605 62197 63304 64269 64655 65928 67240 67335 68265 69480 71217 71410 74370 74498 75645 77586 79130 80802 82140 82410 85692 89244 89780 91020 91723 94956 98568 98892 99160 100860 101639 103448 107115 107736 109224 109880 111555 111747 112258 112627 116379 118695 121032 123210 123615 124394 128538 129310 134670 136530 142434 142820 148740 148996 151290 155172 158260 161604 164280 164820 166093 168387 171384 178488 179560 182040 183446 184049 186245 186591 189912 193965 197784 201720 202005 203278 214230 223110 223494 224516 225254 232758 237390 246420 247230 248788 257076 258620 264217 269340 273060 275169 280645 284868 285640 292781 297480 297992 302580 304917 310344 310985 316520 321345 323208 324433 329640 332186 335241 336774 337881 356085 366892 368098 372490 373182 387930 404010 406556 428460 446220 446988 449032 450508 458615 465516 474780 478447 492840 494460 497576 498279 505161 508195 514152 517240 528434 530171 538680 546120 550338 552147 558735 559773 561290 563135 569736 581895 585562 605160 609834 621970 642690 648866 664372 670482 673548 675762 712170 733784 736196 744980 746364 775860 792651 808020 813112 825507 830465 841935 856920 866377 878343 892440 893976 901016 914751 917230 920245 931032 932955 949560 956894 973299 988920 996558 1010322 1013643 1016390 1056868 1060342 1100676 1104294 1117470 1119546 1122580 1126270 1163790 1171124 1219668 1243940 1285380 1297732 1321085 1328744 1340964 1347096 1351524 1375845 1378213 1424340 1435341 1463905 1472392 1489960 1492728 1494837 1524585 1527209 1551720 1585302 1590513 1616040 1622165 1651014 1656441 1660930 1676205 1683870 1689405 1732754 1756686 1829502 1834460 1840490 1865910 1913788 1946598 1993116 2020644 2027286 2032780 2113736 2120684 2201352 2208588 2234940 2239092 2245160 2252540 2301289 2327580 2342248 2377953 2392235 2439336 2487880 2491395 2495683 2525805 2570760 2595464 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41204075725620 41600030807668 45658570398660 45946302683096 46926864020845 47850812638872 50428868798520 50594632063380 51689590518483 52000038509585 55880638398360 56312236825014 57432878353870 59813515798590 62400046211502 68919454024644 71776218958308 75082982433352 79751354398120 82408151451240 83200061615336 84468355237521 86149317530805 89720273697885 91317140797320 93600069317253 93853728041690 101189264126760 103379181036966 104000077019170 112624473650028 114865756707740 119627031597180 124800092423004 137838908049288 140780592062535 143552437916616 156000115528755 168936710475042 172298635061610 179440547395770 187200138634506 187707456083380 206758362073932 208000154038340 225248947300056 229731513415480 239254063194360 249600184846008 258447952592415 281561184125070 312000231057510 337873420950084 344597270123220 358881094791540 374400277269012 375414912166760 384800284970929 413516724147864 416000308076680 422341776187605 468000346586265 516895905184830 563122368250140 624000462115020 675746841900168 689194540246440 717762189583080 748800554538024 769600569941858 844683552375210 936000693172530 1033791810369660 1126244736500280 1154400854912787 1248000924230040 1539201139883716 1689367104750420 1872001386345060 1924001424854645 2067583620739320 2308801709825574 3078402279767432 3378734209500840 3463202564738361 3744002772690120 3848002849709290 4617603419651148 5772004274563935 6926405129476722 7696005699418580 9235206839302296 11544008549127870 13852810258953444 15392011398837160 17316012823691805 23088017098255740 27705620517906888 34632025647383610 46176034196511480 69264051294767220 138528102589534440
- Sum of all divisors σ(n): 483966056652402870
- Sum of proper divisors (its aliquot sum) s(n): 345437954062868430
- 138528102589534440 is an abundant number, because the sum of its proper divisors (345437954062868430) is greater than itself. Its abundance is 206909851473333990
Bases of 138528102589534440
- Binary: 1111011000010011010010011010010100100001000010000111010002
- Hexadecimal: 0x1EC26934A4210E8
- Base-36: 11W043S86WA0
Squares and roots of 138528102589534440
- 138528102589534440 squared (1385281025895344402) is 19190035207056578421216615946113600
- 138528102589534440 cubed (1385281025895344403) is 2658359165859911474677678345746073084874351352384000
-
The
square root of 138528102589534440 is 372193635.8799468241 -
The
cube root of 138528102589534440 is 517423.2767174697
Scales and comparisons
How big is 138528102589534440?- 138,528,102,589,534,440 seconds is equal to 4,404,765,166 years, 41 weeks, 1 day, 4 hours, 54 minutes.
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To count from 1 to 138,528,102,589,534,440 would take you about thirteen billion, two hundred fourteen million, two hundred ninety-five thousand, five hundred 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 138528102589534440 cubic inches would be around 43118.6 feet tall.
Recreational maths with 138528102589534440
- 138528102589534440 backwards is 044435985201825831
- 138528102589534440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138528102589534440's digits is 72
- More coming soon!
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"Number 138528102589534440 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138528102589534440 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138528102589534440/
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The information we have on file for 138528102589534440 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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