13977013525238400

Names of 13977013525238400

• Cardinal: 13977013525238400 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, thirteen billion, five hundred twenty-five million, two hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.39770135252384 × 10¹⁶

Factors of 13977013525238400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 105956000

Divisors of 13977013525238400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 151 156 160 168 175 182 192 195 200 208 210 224 240 260 273 280 300 302 312 320 325 336 350 364 384 390 400 416 420 448 453 455 480 520 525 546 560 600 604 624 640 650 672 700 728 755 780 800 832 840 896 906 910 960 975 1040 1050 1057 1092 1120 1200 1208 1248 1300 1344 1365 1400 1456 1510 1560 1600 1664 1680 1812 1820 1920 1950 1963 2080 2100 2114 2184 2240 2265 2275 2400 2416 2496 2600 2688 2730 2800 2912 3020 3120 3171 3200 3360 3624 3640 3775 3900 3926 4160 4200 4228 4368 4480 4530 4550 4800 4832 4992 5200 5285 5460 5600 5824 5889 6040 6240 6342 6720 6825 7248 7280 7550 7800 7852 8320 8400 8456 8736 9060 9100 9600 9664 9815 10400 10570 10920 11200 11325 11648 11778 12080 12480 12684 13440 13650 13741 14496 14560 15100 15600 15704 15855 16800 16912 17472 18120 18200 19328 19630 20800 21140 21840 22400 22650 23556 24160 24960 25368 26425 27300 27482 28992 29120 29445 30200 31200 31408 31710 33600 33824 34944 36240 36400 39260 41223 41600 42280 43680 45300 47112 48320 49075 50736 52850 54600 54964 57984 58240 58890 60400 62400 62816 63420 67200 67648 68705 72480 72800 78520 79275 82446 84560 87360 90600 94224 96640 98150 101472 105700 109200 109928 117780 120800 124800 125632 126840 135296 137410 144960 145600 147225 157040 158550 164892 169120 174720 181200 188448 196300 202944 206115 211400 218400 219856 235560 241600 251264 253680 274820 289920 291200 294450 314080 317100 329784 338240 343525 362400 376896 392600 405888 412230 422800 436800 439712 471120 483200 507360 549640 588900 628160 634200 659568 676480 687050 724800 753792 785200 824460 845600 873600 879424 942240 1014720 1030575 1099280 1177800 1256320 1268400 1319136 1374100 1449600 1570400 1648920 1691200 1758848 1884480 2029440 2061150 2198560 2355600 2536800 2638272 2748200 3140800 3297840 3382400 3768960 4122300 4397120 4711200 5073600 5276544 5496400 6281600 6595680 8244600 8794240 9422400 10147200 10992800 13191360 16489200 18844800 21985600 26382720 32978400 43971200 65956800 105955819 131913600 211911638 317867457 423823276 529779095 635734914 741690733 847646552 1059558190 1271469828 1377425647 1483381466 1589337285 1695293104 2119116380 2225072199 2542939656 2648895475 2754851294 2966762932 3178674570 3390586208 3708453665 4132276941 4238232760 4450144398 5085879312 5297790950 5509702588 5933525864 6357349140 6781172416 6887128235 7416907330 7946686425 8264553882 8476465520 8900288796 9641979529 10171758624 10595581900 11019405176 11125360995 11867051728 12714698280 13562344832 13774256470 14833814660 15893372850 15999328669 16529107764 16952931040 17800577592 18542268325 19283959058 20343517248 20661384705 21191163800 22038810352 22250721990 23734103456 25429396560 27548512940 28925938587 29667629320 31786745700 31998657338 33058215528 33905862080 34435641175 35601155184 37084536650 38567918116 40687034496 41322769410 42382327600 44077620704 44501443980 47468206912 47997986007 48209897645 50858793120 55097025880 55626804975 57851877174 59335258640 63573491400 63997314676 66116431056 67811724160 68871282350 71202310368 74169073300 77135836232 79996643345 82645538820 84764655200 88155241408 89002887960 94936413824 95995972014 96419795290 101717586240 103306923525 110194051760 111253609950 111995300683 115703754348 118670517280 127146982800 127994629352 132232862112 137742564700 142404620736 144629692935 148338146600 154271672464 159993286690 165291077640 169529310400 176310482816 178005775920 191991944028 192839590580 203435172480 206613847050 207991272697 220388103520 222507219900 223990601366 231407508696 237341034560 239989930035 241049488225 254293965600 255989258704 264465724224 275485129400 284809241472 289259385870 296676293200 308543344928 319986573380 330582155280 335985902049 339058620800 356011551840 383983888056 385679181160 399983216725 413227694100 415982545394 440776207040 445014439800 447981202732 462815017392 474682069120 479979860070 482098976450 508587931200 511978517408 528931448448 550970258800 559976503415 578518771740 593352586400 617086689856 623973818091 639973146760 661164310560 671971804098 712023103680 723148464675 767967776112 771358362320 799966433450 826455388200 831965090788 881552414080 890028879600 895962405464 925630034784 959959720140 964197952900 1017175862400 1023957034816 1039956363485 1101940517600 1119953006830 1157037543480 1186705172800 1199949650175 1234173379712 1247947636182 1279946293520 1322328621120 1343943608196 1424046207360 1446296929350 1455938908879 1535935552224 1542716724640 1599932866900 1652910776400 1663930181576 1679929510245 1780057759200 1791924810928 1851260069568 1919919440280 1928395905800 2047914069632 2079912726970 2203881035200 2239906013660 2314075086960 2373410345600 2399899300350 2495895272364 2559892587040 2644657242240 2687887216392 2799882517075 2892593858700 2911877817758 3071871104448 3085433449280 3119869090455 3199865733800 3305821552800 3327860363152 3359859020490 3560115518400 3583849621856 3702520139136 3839838880560 3856791811600 4159825453940 4367816726637 4407762070400 4479812027320 4628150173920 4799798600700 4991790544728 5119785174080 5199781817425 5375774432784 5599765034150 5785187717400 5823755635516 6143742208896 6170866898560 6239738180910 6399731467600 6611643105600 6655720726304 6719718040980 7120231036800 7167699243712 7279694544395 7679677761120 7713583623200 8319650907880 8399647551225 8735633453274 8959624054640 9256300347840 9599597201400 9983581089456 10239570348160 10399563634850 10751548865568 11199530068300 11570375434800 11647511271032 12479476361820 12799462935200 13223286211200 13311441452608 13439436081960 14335398487424 14559389088790 15359355522240 15427167246400 15599345452275 16639301815760 16799295102450 17471266906548 17919248109280 18512600695680 19199194402800 19967162178912 20799127269700 21503097731136 21839083633185 22399060136600 23140750869600 23295022542064 24958952723640 25598925870400 26622882905216 26878872163920 29118778177580 30718711044480 30854334492800 31198690904550 33278603631520 33598590204900 34942533813096 35838496218560 36398472721975 38398388805600 39934324357824 41598254539400 43006195462272 43678167266370 44798120273200 46281501739200 46590045084128 49917905447280 51197851740800 53757744327840 58237556355160 62397381809100 66557207263040 67197180409800 69885067626192 71676992437120 72796945443950 76796777611200 79868648715648 83196509078800 87356334532740 89596240546400 92563003478400 93180090168256 99835810894560 107515488655680 109195418165925 116475112710320 124794763618200 133114414526080 134394360819600 139770135252384 145593890887900 153593555222400 166393018157600 174712669065480 179192481092800 186360180336512 199671621789120 215030977311360 218390836331850 232950225420640 249589527236400 268788721639200 279540270504768 291187781775800 332786036315200 349425338130960 358384962185600 399343243578240 436781672663700 465900450841280 499179054472800 537577443278400 559080541009536 582375563551600 665572072630400 698850676261920 873563345327400 931800901682560 998358108945600 1075154886556800 1164751127103200 1397701352523840 1747126690654800 1996716217891200 2329502254206400 2795402705047680 3494253381309600 4659004508412800 6988506762619200 13977013525238400
• Sum of all divisors σ(n): 57035899235481600
• Sum of proper divisors (its aliquot sum) s(n): 43058885710243200
• 13977013525238400 is an abundant number, because the sum of its proper divisors (43058885710243200) is greater than itself. Its abundance is 29081872185004800

Bases of 13977013525238400

• Binary: 110001101010000000010100001110001100010101001010000000₂
• Hexadecimal: 0x31A8050E315280
• Base-36: 3TMFRDD4QYO

Squares and roots of 13977013525238400

• 13977013525238400 squared (13977013525238400²) is 195356907084697165673776834560000
• 13977013525238400 cubed (13977013525238400³) is 2730506132571553691800536358773435821359104000000
• The square root of 13977013525238400 is 118224420.1729845661
• The cube root of 13977013525238400 is 240882.2477921925

Scales and comparisons

• 13,977,013,525,238,400 seconds is equal to 444,425,796 years, 18 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 13,977,013,525,238,400 would take you about one billion, three hundred thirty-three million, two hundred seventy-seven thousand, three hundred eighty-nine 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 13977013525238400 cubic inches would be around 20073.5 feet tall.

Recreational maths with 13977013525238400

• 13977013525238400 backwards is 00483252531077931
• 13977013525238400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13977013525238400's digits is 60
• More coming soon!