13977723237703680

Names of 13977723237703680

• Cardinal: 13977723237703680 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, seven hundred twenty-three billion, two hundred thirty-seven million, seven hundred three thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.397772323770368 × 10¹⁶

Factors of 13977723237703680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 520651

Divisors of 13977723237703680

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 128 130 140 147 156 160 168 182 192 195 196 208 210 224 240 245 256 260 273 280 294 312 320 336 343 364 384 390 392 416 420 448 455 480 490 512 520 546 560 588 624 637 640 672 686 728 735 768 780 784 832 840 896 910 960 980 1024 1029 1040 1092 1120 1176 1248 1274 1280 1344 1365 1372 1456 1470 1536 1560 1568 1664 1680 1715 1792 1820 1911 1920 1960 2048 2058 2080 2184 2240 2352 2401 2496 2548 2560 2688 2730 2744 2912 2940 3072 3120 3136 3185 3328 3360 3430 3584 3640 3822 3840 3920 4096 4116 4160 4368 4459 4480 4704 4802 4992 5096 5120 5145 5376 5460 5488 5824 5880 6144 6240 6272 6370 6656 6720 6860 7168 7203 7280 7644 7680 7840 8192 8232 8320 8736 8918 8960 9408 9555 9604 9984 10192 10240 10290 10752 10920 10976 11648 11760 12005 12288 12480 12544 12740 13312 13377 13440 13720 14336 14406 14560 15288 15360 15680 16464 16640 16807 17472 17836 17920 18816 19110 19208 19968 20384 20480 20580 21504 21840 21952 22295 23296 23520 24010 24576 24960 25088 25480 26624 26754 26880 27440 28672 28812 29120 30576 30720 31213 31360 32928 33280 33614 34944 35672 35840 36015 37632 38220 38416 39936 40768 40960 41160 43008 43680 43904 44590 46592 47040 48020 49920 50176 50421 50960 53248 53508 53760 54880 57344 57624 58240 61152 61440 62426 62720 65856 66560 66885 67228 69888 71344 71680 72030 75264 76440 76832 79872 81536 82320 84035 86016 87360 87808 89180 93184 93639 94080 96040 99840 100352 100842 101920 106496 107016 107520 109760 115248 116480 122304 122880 124852 125440 131712 133120 133770 134456 139776 142688 143360 144060 150528 152880 153664 156065 159744 163072 164640 168070 172032 174720 175616 178360 186368 187278 188160 192080 199680 200704 201684 203840 214032 215040 218491 219520 230496 232960 244608 249704 250880 252105 263424 266240 267540 268912 279552 285376 286720 288120 301056 305760 307328 312130 319488 326144 329280 336140 349440 351232 356720 372736 374556 376320 384160 399360 401408 403368 407680 428064 430080 436982 439040 460992 465920 468195 489216 499408 501760 504210 520621 526848 532480 535080 537824 559104 570752 576240 602112 611520 614656 624260 652288 655473 658560 672280 698880 702464 713440 745472 749112 752640 768320 798720 806736 815360 856128 860160 873964 878080 921984 931840 936390 978432 998816 1003520 1008420 1041242 1053696 1070160 1075648 1092455 1118208 1141504 1152480 1204224 1223040 1229312 1248520 1304576 1310946 1317120 1344560 1397760 1404928 1426880 1498224 1505280 1536640 1561863 1597440 1613472 1630720 1712256 1747928 1756160 1843968 1863680 1872780 1956864 1997632 2007040 2016840 2082484 2107392 2140320 2151296 2184910 2236416 2283008 2304960 2446080 2458624 2497040 2603105 2609152 2621892 2634240 2689120 2795520 2809856 2853760 2996448 3010560 3073280 3123726 3226944 3261440 3277365 3424512 3495856 3512320 3644347 3687936 3727360 3745560 3913728 3995264 4033680 4164968 4214784 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69305067520 69643471170 70000617176 72770320896 74286369248 74636226560 75000661260 78368037888 79592538480 80000705344 81250716365 83166081024 84898707712 85715041440 87500771470 89563471872 90962901120 91429377536 92857961560 97027094528 97500859638 97960047360 100000881680 103957601280 104490717184 105000925764 106123384640 111429553872 111954339840 113751002911 114286721920 120001058016 121283868160 127348061568 130001146184 130613396480 131251157205 137144066304 138610135040 139286942340 140001234352 145540641792 148572738496 149272453120 150001322520 156736075776 159185076960 160001410688 162501432730 166332162048 169797415424 171430082880 175001542940 181925802240 182858755072 185715923120 194054189056 195001719276 195920094720 200001763360 207915202560 208981434368 210001851528 212246769280 222859107744 223908679680 227502005822 228573443840 240002116032 242567736320 243752149095 254696123136 260002292368 261226792960 262502314410 274288132608 277220270080 278573884680 280002468704 291081283584 297145476992 300002645040 313472151552 318370153920 320002821376 325002865460 339594830848 341253008733 342860165760 350003085880 363851604480 365717510144 371431846240 388108378112 390003438552 391840189440 400003526720 415830405120 420003703056 424493538560 445718215488 447817359360 455004011644 457146887680 480004232064 485135472640 487504298190 509392246272 520004584736 522453585920 525004628820 548576265216 557147769360 560004937408 568755014555 582162567168 594290953984 600005290080 626944303104 636740307840 640005642752 650005730920 679189661696 682506017466 685720331520 700006171760 727703208960 731435020288 742863692480 780006877104 783680378880 800007053440 831660810240 840007406112 848987077120 891436430976 910008023288 914293775360 960008464128 970270945280 975008596380 1018784492544 1040009169472 1044907171840 1050009257640 1097152530432 1114295538720 1120009874816 1137510029110 1164325134336 1188581907968 1200010580160 1273480615680 1280011285504 1300011461840 1358379323392 1365012034932 1371440663040 1400012343520 1455406417920 1462870040576 1485727384960 1560013754208 1567360757760 1600014106880 1680014812224 1697974154240 1706265043665 1782872861952 1820016046576 1828587550720 1920016928256 1940541890560 1950017192760 2037568985088 2080018338944 2100018515280 2194305060864 2228591077440 2240019749632 2275020058220 2377163815936 2400021160320 2546961231360 2560022571008 2600022923680 2716758646784 2730024069864 2742881326080 2800024687040 2910812835840 2971454769920 3120027508416 3134721515520 3200028213760 3360029624448 3395948308480 3412530087330 3565745723904 3640032093152 3657175101440 3840033856512 3900034385520 4075137970176 4160036677888 4200037030560 4388610121728 4457182154880 4480039499264 4550040116440 4754327631872 4800042320640 5093922462720 5120045142016 5200045847360 5460048139728 5485762652160 5600049374080 5821625671680 5942909539840 6240055016832 6400056427520 6720059248896 6791896616960 6825060174660 7131491447808 7280064186304 7314350202880 7680067713024 7800068771040 8150275940352 8320073355776 8400074061120 8914364309760 8960078998528 9100080232880 9508655263744 9600084641280 10187844925440 10240090284032 10400091694720 10920096279456 10971525304320 11200098748160 11885819079680 12480110033664 12800112855040 13440118497792 13583793233920 13650120349320 14262982895616 14560128372608 15360135426048 15600137542080 16640146711552 16800148122240 17828728619520 17920157997056 18200160465760 19017310527488 19200169282560 20375689850880 20800183389440 21840192558912 21943050608640 22400197496320 23771638159360 24960220067328 25600225710080 26880236995584 27300240698640 28525965791232 29120256745216 30720270852096 31200275084160 33280293423104 33600296244480 35657457239040 35840315994112 36400320931520 38400338565120 40751379701760 41600366778880 43680385117824 44800394992640 47543276318720 49920440134656 51200451420160 53760473991168 54600481397280 57051931582464 58240513490432 62400550168320 66560586846208 67200592488960 71314914478080 71680631988224 72800641863040 76800677130240 83200733557760 87360770235648 89600789985280 95086552637440 99840880269312 107520947982336 109200962794560 116481026980864 124801100336640 133121173692416 134401184977920 142629828956160 145601283726080 153601354260480 166401467115520 174721540471296 179201579970560 199681760538624 215041895964672 218401925589120 232962053961728 249602200673280 268802369955840 285259657912320 291202567452160 332802934231040 349443080942592 358403159941120 399363521077248 436803851178240 465924107923456 499204401346560 537604739911680 582405134904320 665605868462080 698886161885184 873607702356480 931848215846912 998408802693120 1075209479823360 1164810269808640 1397772323770368 1747215404712960 1996817605386240 2329620539617280 2795544647540736 3494430809425920 4659241079234560 6988861618851840 13977723237703680
• Sum of all divisors σ(n): 56193815741753088
• Sum of proper divisors (its aliquot sum) s(n): 42216092504049408
• 13977723237703680 is an abundant number, because the sum of its proper divisors (42216092504049408) is greater than itself. Its abundance is 28238369266345728

Bases of 13977723237703680

• Binary: 110001101010001010101001001100010110100010000000000000₂
• Hexadecimal: 0x31A8AA4C5A2000
• Base-36: 3TMOTEPLXXC

Squares and roots of 13977723237703680

• 13977723237703680 squared (13977723237703680²) is 195376746909841446744319485542400
• 13977723237703680 cubed (13977723237703680³) is 2730922095388641443409289700062932764335276032000
• The square root of 13977723237703680 is 118227421.6825507871
• The cube root of 13977723237703680 is 240886.3248252947

Scales and comparisons

• 13,977,723,237,703,680 seconds is equal to 444,448,363 years, 1 week, 1 day, 2 hours, 8 minutes.
• To count from 1 to 13,977,723,237,703,680 would take you about one billion, three hundred thirty-three million, three hundred forty-five thousand and 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 13977723237703680 cubic inches would be around 20073.9 feet tall.

Recreational maths with 13977723237703680

• 13977723237703680 backwards is 08630773232777931
• The number of decimal digits it has is: 17
• The sum of 13977723237703680's digits is 75
• More coming soon!