138325516472515840
138,325,516,472,515,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138325516472515840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138325516472515840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138325516472515840:
28 × 5 × 13 × 131 × 257 × 4457 × 55399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 131 × 257 × 4457 × 55399)See below for interesting mathematical facts about the number 138325516472515840 from the Numbermatics database.
Names of 138325516472515840
- Cardinal: 138325516472515840 can be written as One hundred thirty-eight quadrillion, three hundred twenty-five trillion, five hundred sixteen billion, four hundred seventy-two million, five hundred fifteen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3832551647251584 × 1017
Factors of 138325516472515840
Divisors of 138325516472515840
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 131 160 208 256 257 260 262 320 416 514 520 524 640 655 832 1028 1040 1048 1280 1285 1310 1664 1703 2056 2080 2096 2570 2620 3328 3341 3406 4112 4160 4192 4457 5140 5240 6682 6812 8224 8320 8384 8515 8914 10280 10480 13364 13624 16448 16640 16705 16768 17030 17828 20560 20960 22285 26728 27248 32896 33410 33536 33667 34060 35656 41120 41920 44570 53456 54496 55399 57941 65792 66820 67334 68120 71312 82240 83840 89140 106912 108992 110798 115882 133640 134668 136240 142624 164480 167680 168335 178280 213824 217984 221596 231764 267280 269336 272480 276995 285248 289705 328960 336670 356560 427648 435968 437671 443192 463528 534560 538672 544960 553990 570496 579410 583867 673340 713120 720187 855296 875342 886384 927056 1069120 1077344 1089920 1107980 1140992 1145449 1158820 1167734 1346680 1426240 1440374 1750684 1772768 1854112 2138240 2154688 2179840 2188355 2215960 2290898 2317640 2335468 2693360 2852480 2880748 2919335 3501368 3545536 3600935 3708224 4276480 4309376 4376710 4431920 4581796 4635280 4670936 5386720 5704960 5727245 5761496 5838670 7002736 7091072 7201870 7257269 7416448 7590271 8618752 8753420 8863840 9163592 9270560 9341872 10773440 11454490 11522992 11677340 14005472 14182144 14237543 14403740 14514538 14832896 14890837 15180542 17506840 17727680 18327184 18541120 18683744 21546880 22908980 23045984 23354680 28010944 28475086 28807480 29029076 29781674 30361084 35013680 35455360 36286345 36654368 37082240 37367488 37951355 43093760 45817960 46091968 46709360 56021888 56950172 57614960 58058152 59563348 60722168 70027360 70910720 71187715 72572690 73308736 74164480 74454185 74734976 75902710 91635920 92183936 93418720 94344497 112043776 113900344 115229920 116116304 119126696 121444336 140054720 142375430 145145380 146617472 148908370 149469952 150053819 151805420 183271840 184367872 185088059 186837440 188688994 227800688 230459840 232232608 238253392 242888672 246913343 280109440 284750860 290290760 293234944 297816740 300107638 303610840 366543680 370176118 373674880 377377988 455601376 460919680 464465216 471722485 476506784 485777344 493826686 560218880 569501720 580581520 595633480 600215276 607221680 733087360 740352236 747349760 750269095 754755976 911202752 921839360 925440295 928930432 943444970 953013568 971554688 987653372 1139003440 1161163040 1191266960 1200430552 1214443360 1234566715 1466174720 1480704472 1500538190 1509511952 1822405504 1850880590 1857860864 1865118133 1886889940 1906027136 1943109376 1950699647 1975306744 2278006880 2322326080 2382533920 2400861104 2428886720 2469133430 2961408944 3001076380 3019023904 3209873459 3644811008 3701761180 3730236266 3773779880 3812054272 3901399294 3950613488 4556013760 4644652160 4765067840 4801722208 4857773440 4938266860 5922817888 6002152760 6038047808 6419746918 7403522360 7460472532 7547559760 7802798588 7901226976 9112027520 9289304320 9325590665 9530135680 9603444416 9715546880 9753498235 9876533720 11845635776 12004305520 12076095616 12839493836 14807044720 14920945064 15095119520 15605597176 15802453952 16049367295 18224055040 18651181330 19060271360 19206888832 19506996470 19753067440 23691271552 24008611040 24152191232 24246535729 25678987672 29614089440 29841890128 30190239040 31211194352 31604907904 32098734590 32345647933 37302362660 38413777664 39013992940 39506134880 47382543104 48017222080 48493071458 51357975344 59228178880 59683780256 60380478080 62422388704 63209815808 63456729151 64197469180 64691295866 74604725320 78027985880 79012269760 96034444160 96986142916 102715950688 118456357760 119367560512 120760956160 121232678645 124844777408 126913458302 128394938360 129382591732 149209450640 156055971760 158024539520 161728239665 192068888320 193972285832 205431901376 236912715520 238735121024 242465357290 249689554816 253826916604 256789876720 258765183464 298418901280 312111943520 316049079040 317283645755 323456479330 387944571664 410863802752 420493423129 477470242048 484930714580 499379109632 507653833208 513579753440 517530366928 596837802560 624223887040 634567291510 646912958660 775889143328 821727605504 824937478963 840986846258 969861429160 1015307666416 1027159506880 1035060733856 1193675605120 1248447774080 1269134583020 1293825917320 1551778286656 1649874957926 1681973692516 1939722858320 2030615332832 2054319013760 2070121467712 2102467115645 2387351210240 2496895548160 2538269166040 2587651834640 3103556573312 3299749915852 3363947385032 3879445716640 4061230665664 4108638027520 4124687394815 4140242935424 4204934231290 5076538332080 5175303669280 6207113146624 6599499831704 6727894770064 7758891433280 8122461331328 8249374789630 8280485870848 8312831518781 8409868462580 10153076664160 10350607338560 13198999663408 13455789540128 15517782866560 16244922662656 16498749579260 16625663037562 16819736925160 20306153328320 20701214677120 26397999326816 26911579080256 31035565733120 32997499158520 33251326075124 33639473850320 40612306656640 41402429354240 41564157593905 52795998653632 53823158160512 65994998317040 66502652150248 67278947700640 81224613313280 83128315187810 105591997307264 107646316321024 108066809744153 131989996634080 133005304300496 134557895401280 166256630375620 211183994614528 216133619488306 263979993268160 266010608600992 269115790802560 332513260751240 432267238976612 527959986536320 532021217201984 538231581605120 540334048720765 665026521502480 864534477953224 1055919973072640 1064042434403968 1080668097441530 1330053043004960 1729068955906448 2128084868807936 2161336194883060 2660106086009920 3458137911812896 4322672389766120 5320212172019840 6916275823625792 8645344779532240 10640424344039680 13832551647251584 17290689559064480 27665103294503168 34581379118128960 69162758236257920 138325516472515840
- Sum of all divisors σ(n): 361030299998860800
- Sum of proper divisors (its aliquot sum) s(n): 222704783526344960
- 138325516472515840 is an abundant number, because the sum of its proper divisors (222704783526344960) is greater than itself. Its abundance is 84379267053829120
Bases of 138325516472515840
- Binary: 1111010110110111001010011000010001011011101111101000000002
- Hexadecimal: 0x1EB6E5308B77D00
- Base-36: 11U0AX08QJGG
Squares and roots of 138325516472515840
- 138325516472515840 squared (1383255164725158402) is 19133948507388250995618099050905600
- 138325516472515840 cubed (1383255164725158403) is 2646713309443003382791692915480949779531462344704000
-
The
square root of 138325516472515840 is 371921384.8012988887 -
The
cube root of 138325516472515840 is 517170.9238005077
Scales and comparisons
How big is 138325516472515840?- 138,325,516,472,515,840 seconds is equal to 4,398,323,554 years, 47 weeks, 2 days, 10 hours, 50 minutes, 40 seconds.
-
To count from 1 to 138,325,516,472,515,840 would take you about thirteen billion, one hundred ninety-four million, nine hundred seventy thousand, six hundred sixty-four 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 138325516472515840 cubic inches would be around 43097.6 feet tall.
Recreational maths with 138325516472515840
- 138325516472515840 backwards is 048515274615523831
- The number of decimal digits it has is: 18
- The sum of 138325516472515840's digits is 70
- More coming soon!
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The information we have on file for 138325516472515840 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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