27801134144000

Names of 27801134144000

• Cardinal: 27801134144000 can be written as Twenty-seven trillion, eight hundred one billion, one hundred thirty-four million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 2.7801134144 × 10¹³

Factors of 27801134144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 774

Divisors of 27801134144000

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 160 170 175 200 224 238 250 256 272 280 289 320 340 350 400 425 448 476 500 512 544 560 578 595 640 680 700 743 800 850 875 896 952 1000 1088 1120 1156 1190 1280 1360 1400 1445 1486 1600 1700 1750 1792 1904 2000 2023 2125 2176 2240 2312 2380 2560 2720 2800 2890 2972 2975 3200 3400 3500 3584 3715 3808 4000 4046 4250 4352 4480 4624 4760 4913 5201 5440 5600 5780 5944 5950 6400 6800 7000 7225 7430 7616 8000 8092 8500 8704 8960 9248 9520 9826 10115 10402 10880 11200 11560 11888 11900 12631 12800 13600 14000 14450 14860 14875 15232 16000 16184 17000 17920 18496 18575 19040 19652 20230 20804 21760 22400 23120 23776 23800 24565 25262 26005 27200 28000 28900 29720 29750 30464 32000 32368 34000 34391 36125 36992 37150 38080 39304 40460 41608 43520 44800 46240 47552 47600 49130 50524 50575 52010 54400 56000 57800 59440 59500 60928 63155 64000 64736 68000 68782 72250 73984 74300 76160 78608 80920 83216 83521 88417 89600 92480 92875 95104 95200 98260 101048 101150 104020 108800 112000 115600 118880 119000 122825 126310 129472 130025 136000 137564 144500 147968 148600 152320 157216 161840 166432 167042 171955 176834 184960 185750 190208 190400 196520 202096 202300 208040 214727 217600 224000 231200 237760 238000 245650 252620 252875 258944 260050 272000 275128 289000 297200 304640 314432 315775 323680 332864 334084 343910 353668 369920 371500 380416 380800 393040 404192 404600 416080 417605 429454 442085 448000 462400 475520 476000 491300 505240 505750 517888 520100 544000 550256 578000 584647 594400 614125 628864 631550 647360 650125 665728 668168 687820 707336 739840 743000 761600 786080 808384 809200 832160 835210 858908 859775 884170 924800 951040 952000 982600 1010480 1011500 1035776 1040200 1073635 1088000 1100512 1156000 1169294 1188800 1228250 1257728 1263100 1294720 1300250 1331456 1336336 1375640 1414672 1486000 1503089 1523200 1572160 1578875 1616768 1618400 1664320 1670420 1717816 1719550 1768340 1849600 1902080 1904000 1965200 2020960 2023000 2080400 2088025 2147270 2201024 2210425 2312000 2338588 2377600 2456500 2515456 2526200 2589440 2600500 2662912 2672672 2751280 2829344 2923235 2972000 3006178 3144320 3157750 3233536 3236800 3328640 3340840 3435632 3439100 3536680 3650359 3699200 3808000 3930400 4041920 4046000 4160800 4176050 4294540 4298875 4402048 4420850 4624000 4677176 4755200 4913000 5052400 5178880 5201000 5345344 5368175 5502560 5658688 5846470 5944000 6012356 6288640 6315500 6467072 6473600 6657280 6681680 6871264 6878200 7073360 7300718 7515445 7616000 7860800 8083840 8092000 8321600 8352100 8589080 8597750 8804096 8841700 9248000 9354352 9510400 9826000 10104800 10402000 10440125 10690688 10736350 11005120 11052125 11317376 11692940 11888000 12024712 12577280 12631000 12947200 13314560 13363360 13742528 13756400 14146720 14601436 14616175 15030890 15721600 16167680 16184000 16643200 16704200 17178160 17195500 17608192 17683400 18251795 18496000 18708704 19652000 20209600 20804000 20880250 21381376 21472700 22010240 22104250 22634752 23385880 23776000 24049424 25262000 25552513 25894400 26726720 26840875 27485056 27512800 28293440 29202872 29232350 30061780 31443200 32335360 32368000 33286400 33408400 34356320 34391000 35366800 36503590 37417408 37577225 39304000 40419200 41608000 41760500 42762752 42945400 44020480 44208500 45269504 46771760 47552000 48098848 50524000 51105026 53453440 53681750 54970112 55025600 56586880 58405744 58464700 60123560 62056103 62886400 64736000 66572800 66816800 68712640 68782000 70733600 73007180 73080875 74834816 75154450 78608000 80838400 83216000 83521000 85890800 88040960 88417000 91258975 93543520 96197696 101048000 102210052 106906880 107363500 109940224 110051200 113173760 116811488 116929400 120247120 124112206 127762565 129472000 133633600 137425280 137564000 141467200 146014360 146161750 149669632 150308900 157216000 161676800 166432000 167042000 171781600 176834000 182517950 187087040 187886125 192395392 202096000 204420104 213813760 214727000 220102400 226347520 233622976 233858800 240494240 248224412 255525130 267267200 274850560 275128000 282934400 292028720 292323500 299339264 300617800 310280515 314432000 332864000 334084000 343563200 353668000 365035900 374174080 375772250 384790784 404192000 408840208 429454000 434392721 440204800 456294875 467245952 467717600 480988480 496448824 511050260 534534400 549701120 550256000 565868800 584057440 584647000 601235600 620561030 638812825 668168000 687126400 707336000 730071800 748348160 751544500 769581568 808384000 817680416 858908000 868785442 912589750 934491904 935435200 961976960 992897648 1022100520 1069068800 1100512000 1131737600 1168114880 1169294000 1202471200 1241122060 1277625650 1336336000 1374252800 1414672000 1460143600 1496696320 1503089000 1551402575 1635360832 1717816000 1737570884 1825179500 1868983808 1870870400 1923953920 1985795296 2044201040 2171963605 2201024000 2336229760 2338588000 2404942400 2482244120 2555251300 2672672000 2748505600 2829344000 2920287200 3006178000 3102805150 3194064125 3270721664 3435632000 3475141768 3650359000 3741740800 3847907840 3971590592 4088402080 4343927210 4672459520 4677176000 4809884800 4964488240 5110502600 5345344000 5658688000 5840574400 6012356000 6205610300 6388128250 6541443328 6871264000 6950283536 7300718000 7483481600 7757012875 7943181184 8176804160 8687854420 9344919040 9354352000 9619769600 9928976480 10221005200 10859818025 11681148800 12024712000 12411220600 12776256500 13082886656 13742528000 13900567072 14601436000 15514025750 15886362368 16353608320 17375708840 18708704000 19239539200 19857952960 20442010400 21719636050 23362297600 24049424000 24822441200 25552513000 27801134144 29202872000 31028051500 31772724736 32707216640 34751417680 37417408000 39715905920 40884020800 43439272100 46724595200 48098848000 49644882400 51105026000 54299090125 55602268288 58405744000 62056103000 65414433280 69502835360 79431811840 81768041600 86878544200 96197696000 99289764800 102210052000 108598180250 111204536576 116811488000 124112206000 139005670720 158863623680 163536083200 173757088400 198579529600 204420104000 217196360500 222409073152 233622976000 248224412000 278011341440 327072166400 347514176800 397159059200 408840208000 434392721000 496448824000 556022682880 695028353600 794318118400 817680416000 868785442000 992897648000 1112045365760 1390056707200 1635360832000 1737570884000 1985795296000 2780113414400 3475141768000 3971590592000 5560226828800 6950283536000 13900567072000 27801134144000
• Sum of all divisors σ(n): 84292216310016
• Sum of proper divisors (its aliquot sum) s(n): 56491082166016
• 27801134144000 is an abundant number, because the sum of its proper divisors (56491082166016) is greater than itself. Its abundance is 28689948022016

Bases of 27801134144000

• Binary: 110010100100011110100101110011001101000000000₂
• Hexadecimal: 0x1948F4B99A00
• Base-36: 9URNXGR28

Squares and roots of 27801134144000

• 27801134144000 squared (27801134144000²) is 772903059692682612736000000
• 27801134144000 cubed (27801134144000³) is 21487581642824308731889938857984000000000
• The square root of 27801134144000 is 5272678.0808238237
• The cube root of 27801134144000 is 30293.8291027261

Scales and comparisons

• 27,801,134,144,000 seconds is equal to 883,990 years, 3 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 27,801,134,144,000 would take you about two million, two hundred nine thousand, nine hundred seventy-five 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 27801134144000 cubic inches would be around 2524.5 feet tall.

Recreational maths with 27801134144000

• 27801134144000 backwards is 00044143110872
• 27801134144000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 27801134144000's digits is 35
• More coming soon!