1353968648960000
1,353,968,648,960,000 is an even composite number composed of five prime numbers multiplied together.
1353968648960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 1353968648960000:
211 × 54 × 19 × 61 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 19 × 61 × 97 × 97 × 97)See below for interesting mathematical facts about the number 1353968648960000 from the Numbermatics database.
Names of 1353968648960000
- Cardinal: 1353968648960000 can be written as One quadrillion, three hundred fifty-three trillion, nine hundred sixty-eight billion, six hundred forty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.35396864896 × 1015
Factors of 1353968648960000
Divisors of 1353968648960000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 61 64 76 80 95 97 100 122 125 128 152 160 190 194 200 244 250 256 304 305 320 380 388 400 475 485 488 500 512 608 610 625 640 760 776 800 950 970 976 1000 1024 1159 1216 1220 1250 1280 1520 1525 1552 1600 1843 1900 1940 1952 2000 2048 2318 2375 2425 2432 2440 2500 2560 3040 3050 3104 3200 3686 3800 3880 3904 4000 4636 4750 4850 4864 4880 5000 5120 5795 5917 6080 6100 6208 6400 7372 7600 7625 7760 7808 8000 9215 9272 9409 9500 9700 9728 9760 10000 10240 11590 11834 11875 12125 12160 12200 12416 12800 14744 15200 15250 15520 15616 16000 18430 18544 18818 19000 19400 19456 19520 20000 23180 23668 23750 24250 24320 24400 24832 25600 28975 29488 29585 30400 30500 31040 31232 32000 36860 37088 37636 38000 38125 38800 38912 39040 40000 46075 46360 47045 47336 47500 48500 48640 48800 49664 51200 57950 58976 59170 60625 60800 61000 62080 62464 64000 73720 74176 75272 76000 76250 77600 78080 80000 92150 92720 94090 94672 95000 97000 97280 97600 99328 112423 115900 117952 118340 121250 121600 122000 124160 124928 128000 144875 147440 147925 148352 150544 152000 152500 155200 156160 160000 178771 184300 185440 188180 189344 190000 194000 194560 195200 198656 224846 230375 231800 235225 235904 236680 242500 243200 244000 248320 256000 289750 294880 295850 296704 301088 304000 305000 310400 312320 320000 357542 368600 370880 376360 378688 380000 388000 390400 449692 460750 463600 470450 471808 473360 485000 486400 488000 496640 562115 573949 579500 589760 591700 593408 602176 608000 610000 620800 624640 640000 715084 724375 737200 739625 741760 752720 757376 760000 776000 780800 893855 899384 912673 921500 927200 940900 943616 946720 970000 972800 976000 993280 1124230 1147898 1151875 1159000 1176125 1179520 1183400 1186816 1204352 1216000 1220000 1241600 1280000 1430168 1448750 1474400 1479250 1483520 1505440 1514752 1520000 1552000 1561600 1787710 1798768 1825346 1843000 1854400 1881800 1887232 1893440 1940000 1952000 2248460 2295796 2303750 2318000 2352250 2359040 2366800 2373632 2408704 2432000 2440000 2483200 2810575 2860336 2869745 2897500 2948800 2958500 2967040 3010880 3029504 3040000 3104000 3123200 3575420 3597536 3650692 3686000 3698125 3708800 3763600 3774464 3786880 3880000 3904000 4469275 4496920 4563365 4591592 4607500 4636000 4704500 4718080 4733600 4817408 4864000 4880000 4966400 5621150 5720672 5739490 5795000 5880625 5897600 5917000 5934080 6021760 6059008 6080000 6208000 7150840 7195072 7301384 7372000 7396250 7417600 7527200 7573760 7760000 7808000 8938550 8993840 9126730 9183184 9215000 9272000 9409000 9436160 9467200 9634816 9760000 10905031 11242300 11441344 11478980 11590000 11761250 11795200 11834000 11868160 12043520 12118016 12160000 12416000 14052875 14301680 14348725 14390144 14602768 14744000 14792500 14835200 15054400 15147520 15520000 15616000 17340787 17877100 17987680 18253460 18366368 18430000 18544000 18818000 18872320 18934400 19269632 19520000 21810062 22346375 22484600 22816825 22882688 22957960 23180000 23522500 23590400 23668000 24087040 24320000 24832000 28105750 28603360 28697450 28780288 29205536 29488000 29585000 29670400 30108800 30295040 31040000 34681574 35754200 35975360 36506920 36732736 36860000 37088000 37636000 37868800 39040000 43620124 44692750 44969200 45633650 45765376 45915920 46360000 47045000 47180800 47336000 48174080 54525155 55673053 56211500 57206720 57394900 57560576 58411072 58976000 59170000 59340800 60217600 60590080 62080000 69363148 70264375 71508400 71743625 71950720 73013840 73465472 73720000 74176000 75272000 75737600 78080000 86703935 87240248 89385500 89938400 91267300 91530752 91831840 92720000 94090000 94361600 94672000 96348160 109050310 111346106 111731875 112423000 114084125 114413440 114789800 115121152 116822144 117952000 118340000 120435200 124160000 138726296 140528750 143016800 143487250 143901440 146027680 146930944 147440000 148352000 150544000 151475200 173407870 174480496 178771000 179876800 182534600 183061504 183663680 185440000 188180000 189344000 218100620 222692212 223463750 224846000 228168250 228826880 229579600 230242304 233644288 235904000 236680000 240870400 272625775 277452592 278365265 281057500 286033600 286974500 287802880 292055360 293861888 294880000 296704000 301088000 302950400 346815740 348960992 357542000 358718125 359753600 365069200 366123008 367327360 370880000 376360000 378688000 433519675 436201240 445384424 446927500 449692000 456336500 457653760 459159200 467288576 471808000 473360000 481740800 545251550 554905184 556730530 562115000 570420625 572067200 573949000 575605760 584110720 587723776 589760000 602176000 693631480 697921984 715084000 717436250 719507200 730138400 734654720 741760000 752720000 757376000 867039350 872402480 890768848 893855000 899384000 912673000 915307520 918318400 934577152 946720000 1057788007 1090503100 1109810368 1113461060 1124230000 1140841250 1144134400 1147898000 1151211520 1168221440 1175447552 1179520000 1204352000 1363128875 1387262960 1391826325 1395843968 1430168000 1434872500 1439014400 1460276800 1469309440 1483520000 1505440000 1514752000 1734078700 1744804960 1781537696 1787710000 1798768000 1825346000 1830615040 1836636800 1869154304 1893440000 2115576014 2167598375 2181006200 2219620736 2226922120 2248460000 2281682500 2288268800 2295796000 2336442880 2359040000 2408704000 2726257750 2774525920 2783652650 2791687936 2860336000 2869745000 2878028800 2920553600 2938618880 3010880000 3468157400 3489609920 3563075392 3575420000 3597536000 3650692000 3673273600 3786880000 4231152028 4335196750 4362012400 4439241472 4453844240 4496920000 4563365000 4576537600 4591592000 4672885760 5288940035 5452515500 5549051840 5567305300 5583375872 5720672000 5739490000 5756057600 5841107200 5877237760 6021760000 6815644375 6936314800 6959131625 6979219840 7126150784 7150840000 7195072000 7301384000 7346547200 7573760000 8462304056 8670393500 8724024800 8878482944 8907688480 8993840000 9126730000 9153075200 9183184000 9345771520 10577880070 10837991875 10905031000 11098103680 11134610600 11166751744 11441344000 11478980000 11682214400 12043520000 13631288750 13872629600 13918263250 13958439680 14252301568 14301680000 14390144000 14602768000 14693094400 16924608112 17340787000 17448049600 17756965888 17815376960 17987680000 18253460000 18366368000 21155760140 21675983750 21810062000 22196207360 22269221200 22333503488 22882688000 22957960000 23364428800 26444700175 27262577500 27745259200 27836526500 27916879360 28504603136 28603360000 28780288000 29205536000 29386188800 33849216224 34681574000 34795658125 34896099200 35513931776 35630753920 35975360000 36506920000 36732736000 42311520280 43351967500 43620124000 44392414720 44538442400 45765376000 45915920000 46728857600 52889400350 54525155000 55490518400 55673053000 55833758720 57009206272 57206720000 58411072000 67698432448 69363148000 69591316250 69792198400 71261507840 71950720000 73013840000 73465472000 84623040560 86703935000 87240248000 88784829440 89076884800 91831840000 105778800700 109050310000 110981036800 111346106000 111667517440 114018412544 114413440000 116822144000 132223500875 135396864896 138726296000 139182632500 139584396800 142523015680 143901440000 146027680000 146930944000 169246081120 173407870000 174480496000 177569658880 178153769600 183663680000 211557601400 218100620000 221962073600 222692212000 228826880000 233644288000 264447001750 270793729792 277452592000 278365265000 279168793600 285046031360 292055360000 338492162240 346815740000 348960992000 356307539200 367327360000 423115202800 436201240000 443924147200 445384424000 528894003500 541587459584 554905184000 556730530000 558337587200 570092062720 584110720000 661117504375 676984324480 693631480000 697921984000 712615078400 734654720000 846230405600 872402480000 887848294400 890768848000 1057788007000 1083174919168 1109810368000 1113461060000 1168221440000 1322235008750 1353968648960 1387262960000 1395843968000 1425230156800 1692460811200 1744804960000 1781537696000 2115576014000 2166349838336 2219620736000 2226922120000 2644470017500 2707937297920 2774525920000 2791687936000 2850460313600 3384921622400 3489609920000 3563075392000 4231152028000 4439241472000 4453844240000 5288940035000 5415874595840 5549051840000 6769843244800 6979219840000 7126150784000 8462304056000 8907688480000 10577880070000 10831749191680 11098103680000 13539686489600 13958439680000 14252301568000 16924608112000 17815376960000 21155760140000 22196207360000 27079372979200 33849216224000 35630753920000 42311520280000 54158745958400 67698432448000 71261507840000 84623040560000 135396864896000 169246081120000 270793729792000 338492162240000 676984324480000 1353968648960000
- Sum of all divisors σ(n): 3657146216724000
- Sum of proper divisors (its aliquot sum) s(n): 2303177567764000
- 1353968648960000 is an abundant number, because the sum of its proper divisors (2303177567764000) is greater than itself. Its abundance is 949208918804000
Bases of 1353968648960000
- Binary: 1001100111101101101011001000101101110111000000000002
- Hexadecimal: 0x4CF6D645BB800
- Base-36: DBXWLZ5MGW
Squares and roots of 1353968648960000
- 1353968648960000 squared (13539686489600002) is 1833231102366567709081600000000
- 1353968648960000 cubed (13539686489600003) is 2482137438902713139737576274395136000000000000
-
The
square root of 1353968648960000 is 36796312.9805147733 -
The
cube root of 1353968648960000 is 110629.1399531419
Scales and comparisons
How big is 1353968648960000?- 1,353,968,648,960,000 seconds is equal to 43,052,014 years, 48 weeks, 5 days, 53 minutes, 20 seconds.
-
To count from 1 to 1,353,968,648,960,000 would take you about one hundred twenty-nine million, one hundred fifty-six thousand and forty-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 1353968648960000 cubic inches would be around 9219.1 feet tall.
Recreational maths with 1353968648960000
- 1353968648960000 backwards is 0000698468693531
- The number of decimal digits it has is: 16
- The sum of 1353968648960000's digits is 68
- More coming soon!
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The information we have on file for 1353968648960000 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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