13137573612736000
13,137,573,612,736,000 is an even composite number composed of four prime numbers multiplied together.
13137573612736000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13137573612736000:
29 × 53 × 173 × 3473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 17 × 347 × 347 × 347)See below for interesting mathematical facts about the number 13137573612736000 from the Numbermatics database.
Names of 13137573612736000
- Cardinal: 13137573612736000 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, five hundred seventy-three billion, six hundred twelve million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3137573612736 × 1016
Factors of 13137573612736000
Divisors of 13137573612736000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 289 320 340 347 400 425 500 512 544 578 640 680 694 800 850 1000 1088 1156 1280 1360 1388 1445 1600 1700 1735 2000 2125 2176 2312 2560 2720 2776 2890 3200 3400 3470 4000 4250 4352 4624 4913 5440 5552 5780 5899 6400 6800 6940 7225 8000 8500 8675 8704 9248 9826 10880 11104 11560 11798 12800 13600 13880 14450 16000 17000 17350 18496 19652 21760 22208 23120 23596 24565 27200 27760 28900 29495 32000 34000 34700 36125 36992 39304 43375 43520 44416 46240 47192 49130 54400 55520 57800 58990 64000 68000 69400 72250 73984 78608 86750 88832 92480 94384 98260 100283 108800 111040 115600 117980 120409 122825 136000 138800 144500 147475 147968 157216 173500 177664 184960 188768 196520 200566 217600 222080 231200 235960 240818 245650 272000 277600 289000 294950 314432 347000 369920 377536 393040 401132 444160 462400 471920 481636 491300 501415 544000 555200 578000 589900 602045 614125 628864 694000 737375 739840 755072 786080 802264 888320 924800 943840 963272 982600 1002830 1088000 1110400 1156000 1179800 1204090 1228250 1257728 1388000 1474750 1510144 1572160 1604528 1704811 1849600 1887680 1926544 1965200 2005660 2046953 2220800 2312000 2359600 2408180 2456500 2507075 2515456 2776000 2949500 3010225 3020288 3144320 3209056 3409622 3699200 3775360 3853088 3930400 4011320 4093906 4441600 4624000 4719200 4816360 4913000 5014150 5552000 5899000 6020450 6288640 6418112 6819244 7550720 7706176 7860800 8022640 8187812 8524055 9248000 9438400 9632720 9826000 10028300 10234765 11104000 11798000 12040900 12535375 12577280 12836224 13638488 15051125 15101440 15412352 15721600 16045280 16375624 17048110 18496000 18876800 19265440 19652000 20056600 20469530 22208000 23596000 24081800 25070750 25672448 27276976 30102250 30824704 31443200 32090560 32751248 34096220 34798201 37753600 38530880 39304000 40113200 40939060 41781923 42620275 47192000 48163600 50141500 51173825 51344896 54553952 60204500 61649408 62886400 64181120 65502496 68192440 69596402 75507200 77061760 78608000 80226400 81878120 83563846 85240550 94384000 96327200 100283000 102347650 109107904 120409000 128362240 131004992 136384880 139192804 154123520 157216000 160452800 163756240 167127692 170481100 173991005 188768000 192654400 200566000 204695300 208909615 213101375 218215808 240818000 255869125 256724480 262009984 272769760 278385608 308247040 314432000 320905600 327512480 334255384 340962200 347982010 377536000 385308800 401132000 409390600 417819230 426202750 436431616 481636000 511738250 524019968 545539520 556771216 591569417 641811200 655024960 668510768 681924400 695964020 710292691 770617600 802264000 818781200 835638460 852405500 869955025 872863232 963272000 1023476500 1044548075 1048039936 1091079040 1113542432 1183138834 1283622400 1310049920 1337021536 1363848800 1391928040 1420585382 1541235200 1604528000 1637562400 1671276920 1704811000 1739910050 1926544000 2046953000 2089096150 2182158080 2227084864 2366277668 2620099840 2674043072 2727697600 2783856080 2841170764 2957847085 3209056000 3275124800 3342553840 3409622000 3479820100 3551463455 3853088000 4093906000 4178192300 4349775125 4364316160 4454169728 4732555336 5222740375 5240199680 5348086144 5455395200 5567712160 5682341528 5915694170 6418112000 6550249600 6685107680 6819244000 6959640200 7102926910 7706176000 8187812000 8356384600 8699550250 8908339456 9465110672 10445480750 10696172288 10910790400 11135424320 11364683056 11831388340 12074975747 13100499200 13370215360 13638488000 13919280400 14205853820 14789235425 16375624000 16712769200 17399100500 17757317275 17816678912 18930221344 20890961500 21392344576 21821580800 22270848640 22729366112 23662776680 24149951494 26200998400 26740430720 27276976000 27838560800 28411707640 29578470850 32751248000 33425538400 34798201000 35514634550 37860442688 41781923000 44541697280 45458732224 47325553360 48299902988 53480861440 54553952000 55677121600 56823415280 59156941700 60374878735 65502496000 66851076800 69596402000 71029269100 73946177125 75720885376 83563846000 88786586375 89083394560 90917464448 94651106720 96599805976 106961722880 109107904000 111354243200 113646830560 118313883400 120749757470 131004992000 133702153600 139192804000 142058538200 147892354250 151441770752 167127692000 177573172750 181834928896 189302213440 193199611952 205274587699 222708486400 227293661120 236627766800 241499514940 267404307200 278385608000 284117076400 295784708500 301874393675 302883541504 334255384000 355146345500 363669857792 378604426880 386399223904 410549175398 445416972800 454587322240 473255533600 482999029880 534808614400 556771216000 568234152800 591569417000 603748787350 668510768000 710292691000 757208853760 772798447808 821098350796 909174644480 946511067200 965998059760 1026372938495 1113542432000 1136468305600 1183138834000 1207497574700 1337021536000 1420585382000 1509371968375 1514417707520 1545596895616 1642196701592 1818349288960 1893022134400 1931996119520 2052745876990 2227084864000 2272936611200 2366277668000 2414995149400 2674043072000 2841170764000 3018743936750 3091193791232 3284393403184 3786044268800 3863992239040 4105491753980 4545873222400 4732555336000 4829990298800 5131864692475 5682341528000 6037487873500 6182387582464 6568786806368 7572088537600 7727984478080 8210983507960 9091746444800 9465110672000 9659980597600 10263729384950 11364683056000 12074975747000 13137573612736 15455968956160 16421967015920 18930221344000 19319961195200 20527458769900 22729366112000 24149951494000 25659323462375 26275147225472 30911937912320 32843934031840 37860442688000 38639922390400 41054917539800 45458732224000 48299902988000 51318646924750 52550294450944 65687868063680 77279844780800 82109835079600 96599805976000 102637293849500 105100588901888 131375736127360 154559689561600 164219670159200 193199611952000 205274587699000 262751472254720 328439340318400 386399223904000 410549175398000 525502944509440 656878680636800 772798447808000 821098350796000 1313757361273600 1642196701592000 2627514722547200 3284393403184000 6568786806368000 13137573612736000
- Sum of all divisors σ(n): 34907000756284800
- Sum of proper divisors (its aliquot sum) s(n): 21769427143548800
- 13137573612736000 is an abundant number, because the sum of its proper divisors (21769427143548800) is greater than itself. Its abundance is 8631853530812800
Bases of 13137573612736000
- Binary: 1011101010110010001101101110000110010111001110000000002
- Hexadecimal: 0x2EAC8DB865CE00
- Base-36: 3LCVPZYX9TS
Squares and roots of 13137573612736000
- 13137573612736000 squared (131375736127360002) is 172595840430057234901405696000000
- 13137573612736000 cubed (131375736127360003) is 2267490558901913199446915018363528544256000000000
-
The
square root of 13137573612736000 is 114619254.9824679327 -
13137573612736000 is a
perfect cube number . Itscube root is 235960
Scales and comparisons
How big is 13137573612736000?- 13,137,573,612,736,000 seconds is equal to 417,734,203 years, 36 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,137,573,612,736,000 would take you about one billion, two hundred fifty-three million, two hundred two thousand, six hundred eleven 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 13137573612736000 cubic inches would be around 19663.3 feet tall.
Recreational maths with 13137573612736000
- 13137573612736000 backwards is 00063721637573131
- The number of decimal digits it has is: 17
- The sum of 13137573612736000's digits is 55
- More coming soon!
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