138311284298813640
138,311,284,298,813,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138311284298813640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138311284298813640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138311284298813640:
23 × 34 × 5 × 72 × 61 × 1272 × 9412
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 61 × 127 × 127 × 941 × 941)See below for interesting mathematical facts about the number 138311284298813640 from the Numbermatics database.
Names of 138311284298813640
- Cardinal: 138311284298813640 can be written as One hundred thirty-eight quadrillion, three hundred eleven trillion, two hundred eighty-four billion, two hundred ninety-eight million, eight hundred thirteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3831128429881364 × 1017
Factors of 138311284298813640
Divisors of 138311284298813640
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 49 54 56 60 61 63 70 72 81 84 90 98 105 108 120 122 126 127 135 140 147 162 168 180 183 189 196 210 216 244 245 252 254 270 280 294 305 315 324 360 366 378 381 392 405 420 427 441 488 490 504 508 540 549 567 588 610 630 635 648 732 735 756 762 810 840 854 882 889 915 941 945 980 1016 1080 1098 1134 1143 1176 1220 1260 1270 1281 1323 1464 1470 1512 1524 1620 1647 1708 1764 1778 1830 1882 1890 1905 1960 2135 2196 2205 2268 2286 2440 2520 2540 2562 2646 2667 2745 2823 2835 2940 2989 3048 3240 3294 3416 3429 3528 3556 3660 3764 3780 3810 3843 3969 4270 4392 4410 4445 4536 4572 4705 4941 5080 5124 5292 5334 5490 5646 5670 5715 5880 5978 6223 6405 6587 6588 6615 6858 7112 7320 7528 7560 7620 7686 7747 7938 8001 8235 8469 8540 8820 8890 8967 9144 9410 9882 10248 10287 10584 10668 10980 11292 11340 11430 11529 11956 12446 12810 13174 13176 13230 13335 13716 14115 14945 15240 15372 15494 15876 16002 16129 16470 16938 17080 17145 17640 17780 17934 18669 18820 19215 19761 19764 19845 20574 21336 21960 22584 22680 22860 23058 23241 23912 24003 24705 24892 25407 25620 26348 26460 26670 26901 27432 28230 29890 30744 30988 31115 31752 32004 32258 32935 32940 33876 34290 34587 35560 35868 37338 37640 38430 38735 39522 39528 39690 40005 41148 42345 44835 45720 46109 46116 46482 48006 48387 49410 49784 50814 51240 51435 52696 52920 53340 53802 54229 56007 56460 57401 57645 59283 59780 61976 62230 64008 64516 65870 65880 67752 68580 69174 69723 71736 72009 74676 76221 76860 77470 79044 79380 80010 80645 80703 82296 84690 89670 92218 92232 92964 93345 96012 96774 98805 98820 101628 102870 106680 107604 108458 112014 112903 112920 114802 115290 116205 118566 119507 119560 120015 124460 127035 129032 131740 134505 137160 138327 138348 139446 144018 145161 149352 152442 153720 154940 158088 158760 160020 161290 161406 162687 168021 169380 172203 172935 177849 179340 184436 185928 186690 192024 193548 197610 197640 203256 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94474920969135 104543676718680 107971338250440 108906523069932 109770860554614 113369905162962 117611636308515 121007247855480 121967622838460 125966561292180 128066003980383 136133153837415 141133963570218 146361147406152 146983298936040 151159873550616 155580747242760 156815515078020 161957007375660 164656290831921 170754671973844 181510871783220 182951434257690 188178618093624 188949841938270 213443339967305 217813046139864 219541721109228 226739810325924 235223272617030 243935245676920 251933122584360 256132007960766 272266307674830 274427151386535 282267927140436 283424762907405 313631030156040 323914014751320 329312581663842 341509343947688 352834908925545 363021743566440 365902868515380 377899683876540 384198011941149 426886679934610 439083442218456 453479620651848 470446545234060 493968872495763 512264015921532 544532615349660 548854302773070 564535854280872 566849525814810 640330019901915 658625163327684 705669817851090 731805737030760 755799367753080 768396023882298 823281454159605 853773359869220 940893090468120 987937744991526 1024528031843064 1089065230699320 1097708605546140 1133699051629620 1152594035823447 1280660039803830 1317250326655368 1411339635702180 1536792047764596 1646562908319210 1707546719738440 1920990059705745 1975875489983052 2195417211092280 2267398103259240 2305188071646894 2469844362478815 2561320079607660 2822679271404360 3073584095529192 3293125816638420 3457782107470341 3841980119411490 3951750979966104 4610376143293788 4939688724957630 5122640159215320 5762970179117235 6586251633276840 6915564214940682 7683960238822980 9220752286587576 9879377449915260 11525940358234470 13831128429881364 15367920477645960 17288910537351705 19758754899830520 23051880716468940 27662256859762728 34577821074703410 46103761432937880 69155642149406820 138311284298813640
- Sum of all divisors σ(n): 554594868443299860
- Sum of proper divisors (its aliquot sum) s(n): 416283584144486220
- 138311284298813640 is an abundant number, because the sum of its proper divisors (416283584144486220) is greater than itself. Its abundance is 277972299845672580
Bases of 138311284298813640
- Binary: 1111010110110000101100001010110010000111100010000110010002
- Hexadecimal: 0x1EB6161590F10C8
- Base-36: 11TV9AU3Z8I0
Squares and roots of 138311284298813640
- 138311284298813640 squared (1383112842988136402) is 19130011364387252539517111450049600
- 138311284298813640 cubed (1383112842988136403) is 2645896440459301101006793725559813954361399156544000
-
The
square root of 138311284298813640 is 371902250.9999282593 -
The
cube root of 138311284298813640 is 517153.1861262149
Scales and comparisons
How big is 138311284298813640?- 138,311,284,298,813,640 seconds is equal to 4,397,871,015 years, 42 weeks, 18 hours, 54 minutes.
-
To count from 1 to 138,311,284,298,813,640 would take you about thirteen billion, one hundred ninety-three million, six hundred thirteen thousand and forty-seven 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 138311284298813640 cubic inches would be around 43096.1 feet tall.
Recreational maths with 138311284298813640
- 138311284298813640 backwards is 046318892482113831
- 138311284298813640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138311284298813640's digits is 72
- More coming soon!
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"Number 138311284298813640 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138311284298813640 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138311284298813640/
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Numbermatics. 2024. "Number 138311284298813640 - Facts about the integer". https://numbermatics.com/n/138311284298813640/
The information we have on file for 138311284298813640 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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