13288807168000
13,288,807,168,000 is an even composite number composed of six prime numbers multiplied together.
13288807168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13288807168000:
211 × 53 × 7 × 13 × 41 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 41 × 13913)See below for interesting mathematical facts about the number 13288807168000 from the Numbermatics database.
Names of 13288807168000
- Cardinal: 13288807168000 can be written as Thirteen trillion, two hundred eighty-eight billion, eight hundred seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3288807168 × 1013
Factors of 13288807168000
Divisors of 13288807168000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 41 50 52 56 64 65 70 80 82 91 100 104 112 125 128 130 140 160 164 175 182 200 205 208 224 250 256 260 280 287 320 325 328 350 364 400 410 416 448 455 500 512 520 533 560 574 640 650 656 700 728 800 820 832 875 896 910 1000 1024 1025 1040 1066 1120 1148 1280 1300 1312 1400 1435 1456 1600 1625 1640 1664 1750 1792 1820 2000 2048 2050 2080 2132 2240 2275 2296 2560 2600 2624 2665 2800 2870 2912 3200 3250 3280 3328 3500 3584 3640 3731 4000 4100 4160 4264 4480 4550 4592 5120 5125 5200 5248 5330 5600 5740 5824 6400 6500 6560 6656 7000 7168 7175 7280 7462 8000 8200 8320 8528 8960 9100 9184 10240 10250 10400 10496 10660 11200 11375 11480 11648 12800 13000 13120 13312 13325 13913 14000 14336 14350 14560 14924 16000 16400 16640 17056 17920 18200 18368 18655 20500 20800 20992 21320 22400 22750 22960 23296 25600 26000 26240 26624 26650 27826 28000 28700 29120 29848 32000 32800 33280 34112 35840 35875 36400 36736 37310 41000 41600 41984 42640 44800 45500 45920 46592 51200 52000 52480 53300 55652 56000 57400 58240 59696 64000 65600 66560 66625 68224 69565 71680 71750 72800 73472 74620 82000 83200 83968 85280 89600 91000 91840 93184 93275 97391 104000 104960 106600 111304 112000 114800 116480 119392 128000 131200 133120 133250 136448 139130 143500 145600 146944 149240 164000 166400 170560 179200 180869 182000 183680 186368 186550 194782 208000 209920 213200 222608 224000 229600 232960 238784 256000 262400 266500 272896 278260 287000 291200 293888 298480 328000 332800 341120 347825 358400 361738 364000 367360 373100 389564 416000 419840 426400 445216 448000 459200 465920 466375 477568 486955 524800 533000 545792 556520 570433 574000 582400 587776 596960 656000 665600 682240 695650 723476 728000 734720 746200 779128 832000 852800 890432 896000 904345 918400 931840 932750 955136 973910 1049600 1066000 1091584 1113040 1140866 1148000 1164800 1193920 1266083 1312000 1364480 1391300 1446952 1456000 1469440 1492400 1558256 1664000 1705600 1739125 1780864 1792000 1808690 1836800 1865500 1910272 1947820 2099200 2132000 2226080 2281732 2296000 2329600 2387840 2434775 2532166 2624000 2728960 2782600 2852165 2893904 2912000 2938880 2984800 3116512 3328000 3411200 3478250 3561728 3617380 3673600 3731000 3820544 3895640 3993031 4264000 4452160 4521725 4563464 4592000 4659200 4775680 4869550 5064332 5248000 5457920 5565200 5704330 5787808 5824000 5969600 6233024 6330415 6822400 6956500 7123456 7234760 7347200 7415629 7462000 7641088 7791280 7986062 8528000 8904320 9043450 9126928 9184000 9551360 9739100 10128664 10496000 11130400 11408660 11575616 11648000 11939200 12173875 12466048 12660830 13644800 13913000 14246912 14260825 14469520 14694400 14831258 14924000 15582560 15972124 17056000 17808640 18086900 18253856 18368000 19102720 19478200 19965155 20257328 22260800 22608625 22817320 23151232 23296000 23878400 24347750 24932096 25321660 27289600 27826000 28493824 28521650 28939040 29662516 29848000 31165120 31652075 31944248 34112000 35617280 36173800 36507712 36736000 37078145 38205440 38956400 39930310 40514656 44521600 45217250 45634640 46302464 47756800 48695500 49864192 50643320 51909403 55652000 57043300 57878080 59325032 59696000 62330240 63304150 63888496 68224000 71234560 71304125 72347600 73015424 73472000 74156290 77912800 79860620 81029312 89043200 90434500 91269280 92604928 95513600 97391000 99728384 99825775 101286640 103818806 111304000 114086600 115756160 118650064 119392000 124660480 126608300 127776992 136448000 142469120 142608250 144695200 146030848 148312580 155825600 158260375 159721240 162058624 178086400 180869000 182538560 185209856 185390725 191027200 194782000 199456768 199651550 202573280 207637612 222608000 228173200 231512320 237300128 238784000 249320960 253216600 255553984 259547015 285216500 289390400 292061696 296625160 311651200 316520750 319442480 324117248 356172800 361738000 365077120 370419712 370781450 389564000 399303100 405146560 415275224 445216000 456346400 463024640 474600256 477568000 498641920 499128875 506433200 511107968 519094030 570433000 578780800 584123392 593250320 623302400 633041500 638884960 648234496 712345600 723476000 730154240 741562900 779128000 798606200 810293120 830550448 890432000 912692800 926049280 926953625 949200512 955136000 997283840 998257750 1012866400 1022215936 1038188060 1140866000 1157561600 1168246784 1186500640 1246604800 1266083000 1277769920 1296468992 1297735075 1446952000 1460308480 1483125800 1558256000 1597212400 1620586240 1661100896 1780864000 1825385600 1852098560 1853907250 1898401024 1996515500 2025732800 2044431872 2076376120 2281732000 2315123200 2373001280 2493209600 2532166000 2555539840 2592937984 2595470150 2893904000 2920616960 2966251600 3116512000 3194424800 3241172480 3322201792 3561728000 3650771200 3707814500 3796802048 3993031000 4051465600 4088863744 4152752240 4563464000 4630246400 4746002560 4986419200 5064332000 5111079680 5190940300 5787808000 5841233920 5932503200 6233024000 6388849600 6482344960 6488675375 6644403584 7301542400 7415629000 7593604096 7986062000 8102931200 8177727488 8305504480 9126928000 9260492800 9492005120 10128664000 10222159360 10381880600 11575616000 11865006400 12466048000 12777699200 12964689920 12977350750 13288807168 14603084800 14831258000 15187208192 15972124000 16205862400 16611008960 18253856000 18984010240 20257328000 20444318720 20763761200 23151232000 23730012800 24932096000 25555398400 25954701500 26577614336 29206169600 29662516000 31944248000 32411724800 33222017920 36507712000 37968020480 40514656000 40888637440 41527522400 46302464000 47460025600 51110796800 51909403000 53155228672 59325032000 63888496000 64823449600 66444035840 73015424000 75936040960 81029312000 83055044800 94920051200 102221593600 103818806000 106310457344 118650064000 127776992000 132888071680 146030848000 162058624000 166110089600 189840102400 204443187200 207637612000 237300128000 255553984000 265776143360 324117248000 332220179200 379680204800 415275224000 474600256000 511107968000 531552286720 664440358400 830550448000 949200512000 1022215936000 1328880716800 1661100896000 1898401024000 2657761433600 3322201792000 6644403584000 13288807168000
- Sum of all divisors σ(n): 41811699121920
- Sum of proper divisors (its aliquot sum) s(n): 28522891953920
- 13288807168000 is an abundant number, because the sum of its proper divisors (28522891953920) is greater than itself. Its abundance is 15234084785920
Bases of 13288807168000
- Binary: 110000010110000010101010000101111000000000002
- Hexadecimal: 0xC160AA17800
- Base-36: 4PKSKOIKG
Squares and roots of 13288807168000
- 13288807168000 squared (132888071680002) is 176592395948288180224000000
- 13288807168000 cubed (132888071680003) is 2346702297091906126690367045632000000000
-
The
square root of 13288807168000 is 3645381.6217235747 -
The
cube root of 13288807168000 is 23686.1967894775
Scales and comparisons
How big is 13288807168000?- 13,288,807,168,000 seconds is equal to 422,542 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,288,807,168,000 would take you about one million, fifty-six thousand, three hundred fifty-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 13288807168000 cubic inches would be around 1973.8 feet tall.
Recreational maths with 13288807168000
- 13288807168000 backwards is 00086170888231
- 13288807168000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13288807168000's digits is 52
- More coming soon!
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