1348006768148480
1,348,006,768,148,480 is an even composite number composed of six prime numbers multiplied together.
1348006768148480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1348006768148480:
217 × 5 × 112 × 17 × 293 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 17 × 29 × 29 × 29 × 41)See below for interesting mathematical facts about the number 1348006768148480 from the Numbermatics database.
Names of 1348006768148480
- Cardinal: 1348006768148480 can be written as One quadrillion, three hundred forty-eight trillion, six billion, seven hundred sixty-eight million, one hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.34800676814848 × 1015
Factors of 1348006768148480
Divisors of 1348006768148480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 29 32 34 40 41 44 55 58 64 68 80 82 85 88 110 116 121 128 136 145 160 164 170 176 187 205 220 232 242 256 272 290 319 320 328 340 352 374 410 440 451 464 484 493 512 544 580 605 638 640 656 680 697 704 748 820 841 880 902 928 935 968 986 1024 1088 1160 1189 1210 1276 1280 1312 1360 1394 1408 1496 1595 1640 1682 1760 1804 1856 1870 1936 1972 2048 2057 2176 2255 2320 2378 2420 2465 2552 2560 2624 2720 2788 2816 2992 3190 3280 3364 3485 3509 3520 3608 3712 3740 3872 3944 4096 4114 4205 4352 4510 4640 4756 4840 4930 4961 5104 5120 5248 5423 5440 5576 5632 5945 5984 6380 6560 6728 6970 7018 7040 7216 7424 7480 7667 7744 7888 8192 8228 8410 8704 9020 9251 9280 9512 9680 9860 9922 10208 10240 10285 10496 10846 10880 11152 11264 11890 11968 12760 13079 13120 13456 13940 14036 14080 14297 14432 14848 14960 15334 15488 15776 16384 16456 16820 17408 17545 18040 18502 18560 19024 19360 19720 19844 20213 20416 20480 20570 20992 21692 21760 22304 22528 23780 23936 24389 24805 25520 26158 26240 26912 27115 27880 28072 28160 28594 28864 29696 29920 30668 30976 31552 32768 32912 33640 34481 34816 35090 36080 37004 37120 38048 38335 38720 39440 39688 40426 40832 40960 41140 41984 43384 43520 44608 45056 46255 47560 47872 48778 49610 51040 52316 52480 53824 54230 55760 56144 56320 57188 57728 59392 59653 59840 61336 61952 63104 65395 65536 65824 67280 68962 69632 70180 71485 72160 74008 74240 76096 76670 77440 78880 79376 80852 81664 81920 82280 83968 84337 86768 87040 89216 90112 92510 95120 95744 97556 99220 101065 101761 102080 104632 104960 107648 108460 111520 112288 112640 114376 115456 118784 119306 119680 121945 122672 123904 126208 130790 131072 131648 134560 137924 139264 140360 142970 143869 144320 148016 148480 152192 153340 154880 157267 157760 158752 161704 163328 163840 164560 167936 168674 172405 173536 174080 178432 180224 185020 190240 191488 195112 198440 202130 203522 204160 209264 209920 215296 216920 222343 223040 224576 225280 228752 230912 237568 238612 239360 243890 245344 247808 252416 261580 263296 268279 269120 275848 278528 280720 285940 287738 288640 296032 296960 298265 304384 306680 309760 314534 315520 317504 323408 326656 327680 329120 335872 337348 344810 347072 348160 356864 360448 370040 379291 380480 382976 390224 396880 404260 407044 408320 414613 418528 419840 421685 430592 433840 444686 446080 449152 450560 457504 461824 475136 477224 478720 487780 490688 495616 504832 508805 523160 526592 536558 538240 551696 557056 561440 571880 575476 577280 586177 592064 593920 596530 608768 613360 619520 629068 631040 635008 646816 653312 655360 658240 671744 674696 689620 694144 696320 713728 719345 720896 740080 758582 760960 765952 780448 786335 793760 808520 814088 816640 829226 837056 839680 843370 861184 867680 889372 892160 898304 901120 915008 923648 950272 954448 957440 975560 981376 991232 999949 1009664 1017610 1046320 1053184 1073116 1076480 1103392 1111715 1114112 1122880 1143760 1150952 1154560 1172354 1184128 1187840 1193060 1217536 1226720 1239040 1258136 1262080 1270016 1293632 1306624 1316480 1341395 1343488 1349392 1379240 1388288 1392640 1427456 1438690 1441792 1480160 1517164 1521920 1531904 1560896 1572670 1587520 1617040 1628176 1633280 1658452 1674112 1679360 1686740 1722368 1729937 1735360 1778744 1784320 1796608 1802240 1830016 1847296 1896455 1900544 1908896 1914880 1951120 1962752 1982464 1999898 2019328 2035220 2073065 2092640 2106368 2146232 2152960 2206784 2223430 2228224 2245760 2287520 2301904 2309120 2344708 2368256 2375680 2386120 2435072 2445773 2453440 2478080 2516272 2524160 2540032 2587264 2613248 2632960 2682790 2686976 2698784 2758480 2776576 2785280 2854912 2877380 2930885 2951069 2960320 3034328 3043840 3063808 3121792 3145340 3175040 3234080 3256352 3266560 3316904 3348224 3358720 3373480 3444736 3459874 3470720 3557488 3568640 3593216 3604480 3660032 3694592 3792910 3801088 3817792 3829760 3902240 3925504 3964928 3999796 4038656 4070440 4146130 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18157418752 18214338560 18680803328 18857197568 19207847936 19359012640 19547095040 20035772416 20478955520 20568950930 20613300224 21361669120 21758890240 21977415680 22526851072 22597468160 22696773440 23351004160 23571496960 23934779264 24009809920 24175157248 24857214976 25044715520 25686104576 25766625280 26410790912 27172077568 27635548160 28158563840 28343287808 29142941696 29918474080 30218946560 30974420224 31071518720 32107630720 32766328832 32910321488 33013488640 33345044480 33965096960 34178670592 34814224384 35163865088 35429109760 36314837504 36428677120 37361606656 38415695872 38718025280 39094190080 40071544832 40957911040 41137901860 42723338240 43517780480 43954831360 45053702144 45393546880 46702008320 47142993920 47869558528 48019619840 48350314496 49714429952 50089431040 51372209152 51533250560 52821581824 54344155136 55271096320 56317127680 56686575616 59836948160 60437893120 61948840448 62143037440 64215261440 65532657664 65820642976 66026977280 66690088960 67930193920 68357341184 69628448768 70858219520 72629675008 72857354240 74723213312 76831391744 77436050560 80143089664 81915822080 82275803720 85446676480 87035560960 87909662720 90107404288 90787093760 93404016640 94285987840 95739117056 96039239680 96700628992 100178862080 102744418304 103066501120 105643163648 112634255360 113373151232 119673896320 120875786240 123897680896 124286074880 128430522880 131065315328 131641285952 132053954560 135860387840 136714682368 139256897536 141716439040 145259350016 145714708480 149446426624 154872101120 160286179328 163831644160 164551607440 170893352960 174071121920 175819325440 180214808576 181574187520 186808033280 191478234112 192078479360 193401257984 200357724160 205488836608 211286327296 225268510720 226746302464 239347792640 241751572480 247795361792 248572149760 256861045760 263282571904 264107909120 271720775680 273429364736 278513795072 283432878080 290518700032 298892853248 309744202240 320572358656 327663288320 329103214880 341786705920 348142243840 360429617152 363148375040 373616066560 382956468224 384156958720 386802515968 400715448320 410977673216 422572654592 450537021440 478695585280 483503144960 495590723584 513722091520 526565143808 528215818240 546858729472 557027590144 566865756160 581037400064 597785706496 619488404480 655326576640 658206429760 683573411840 696284487680 720859234304 726296750080 747232133120 765912936448 801430896640 821955346432 845145309184 901074042880 957391170560 967006289920 991181447168 1027444183040 1053130287616 1056431636480 1114055180288 1133731512320 1162074800128 1238976808960 1316412859520 1367146823680 1392568975360 1441718468608 1452593500160 1494464266240 1531825872896 1602861793280 1643910692864 1802148085760 1914782341120 1934012579840 1982362894336 2054888366080 2106260575232 2112863272960 2228110360576 2324149600256 2477953617920 2632825719040 2734293647360 2785137950720 2905187000320 2988928532480 3063651745792 3287821385728 3604296171520 3829564682240 3964725788672 4109776732160 4212521150464 4225726545920 4648299200512 4955907235840 5265651438080 5570275901440 5810374000640 6127303491584 6575642771456 7208592343040 7659129364480 7929451577344 8219553464320 8425042300928 9296598401024 9911814471680 10531302876160 11140551802880 11620748001280 12254606983168 15318258728960 15858903154688 16439106928640 16850084601856 19823628943360 21062605752320 23241496002560 24509213966336 30636517457920 32878213857280 33700169203712 39647257886720 42125211504640 46482992005120 61273034915840 67400338407424 79294515773440 84250423009280 122546069831680 134800676814848 168500846018560 269601353629696 337001692037120 674003384074240 1348006768148480
- Sum of all divisors σ(n): 3994811563407840
- Sum of proper divisors (its aliquot sum) s(n): 2646804795259360
- 1348006768148480 is an abundant number, because the sum of its proper divisors (2646804795259360) is greater than itself. Its abundance is 1298798027110880
Bases of 1348006768148480
- Binary: 1001100101000000001010010001001001000000000000000002
- Hexadecimal: 0x4CA0148920000
- Base-36: D9TTRD92WW
Squares and roots of 1348006768148480
- 1348006768148480 squared (13480067681484802) is 1817122246974109913847326310400
- 1348006768148480 cubed (13480067681484803) is 2449493087474273995872808625131719797768192000
-
The
square root of 1348006768148480 is 36715211.6723910499 -
The
cube root of 1348006768148480 is 110466.5246195267
Scales and comparisons
How big is 1348006768148480?- 1,348,006,768,148,480 seconds is equal to 42,862,445 years, 29 weeks, 3 days, 21 hours, 41 minutes, 20 seconds.
-
To count from 1 to 1,348,006,768,148,480 would take you about one hundred twenty-eight million, five hundred eighty-seven thousand, three hundred thirty-six 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 1348006768148480 cubic inches would be around 9205.5 feet tall.
Recreational maths with 1348006768148480
- 1348006768148480 backwards is 0848418676008431
- 1348006768148480 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1348006768148480's digits is 68
- More coming soon!
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"Number 1348006768148480 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 1348006768148480 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/1348006768148480/
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The information we have on file for 1348006768148480 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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