13007117980800

Names of 13007117980800

• Cardinal: 13007117980800 can be written as Thirteen trillion, seven billion, one hundred seventeen million, nine hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.30071179808 × 10¹³

Factors of 13007117980800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3639

Divisors of 13007117980800

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 71 72 75 80 90 96 100 108 120 128 135 142 144 150 160 180 192 200 213 216 225 240 270 284 288 300 320 355 360 384 400 426 432 450 480 540 568 576 600 639 640 675 710 720 757 800 852 864 900 960 1065 1080 1136 1152 1200 1278 1350 1420 1440 1514 1600 1704 1728 1775 1800 1917 1920 2130 2160 2271 2272 2400 2556 2700 2801 2840 2880 3028 3195 3200 3408 3456 3550 3600 3785 3834 4260 4320 4542 4544 4800 5112 5325 5400 5602 5680 5760 6056 6390 6813 6816 7100 7200 7570 7668 8403 8520 8640 9084 9088 9585 9600 10224 10650 10800 11204 11355 11360 12112 12780 13626 13632 14005 14200 14400 15140 15336 15975 16806 17040 17280 18168 18925 19170 20439 20448 21300 21600 22408 22710 22720 24224 25209 25560 27252 27264 28010 28400 28800 30280 30672 31950 33612 34065 34080 36336 37850 38340 40878 40896 42015 42600 43200 44816 45420 45440 47925 48448 50418 51120 53747 54504 56020 56775 56800 60560 61344 63900 67224 68130 68160 70025 72672 75627 75700 76680 81756 81792 84030 85200 86400 89632 90840 95850 96896 100836 102195 102240 107494 109008 112040 113550 113600 121120 122688 126045 127800 134448 136260 136320 140050 145344 151254 151400 153360 161241 163512 168060 170325 170400 179264 181680 191700 198871 201672 204390 204480 210075 214988 218016 224080 227100 227200 242240 245376 252090 255600 268735 268896 272520 280100 290688 302508 302800 306720 322482 327024 336120 340650 340800 358528 363360 378135 383400 397742 403344 408780 408960 420150 429976 436032 448160 454200 483723 484480 504180 510975 511200 537470 537792 545040 560200 596613 605016 605600 613440 630225 644964 654048 672240 681300 681600 726720 756270 766800 795484 806205 806688 817560 840300 859952 872064 896320 908400 967446 994355 1008360 1021950 1022400 1074940 1075584 1090080 1120400 1193226 1210032 1211200 1226880 1260450 1289928 1308096 1343675 1344480 1362600 1451169 1453440 1512540 1533600 1590968 1612410 1613376 1635120 1680600 1719904 1789839 1792640 1816800 1890675 1934892 1988710 2016720 2043900 2044800 2120357 2149880 2180160 2240800 2386452 2418615 2420064 2422400 2520900 2579856 2616192 2687350 2688960 2725200 2902338 2983065 3025080 3067200 3181936 3224820 3226752 3270240 3361200 3439808 3579678 3633600 3781350 3869784 3977420 4031025 4033440 4087800 4240714 4299760 4360320 4481600 4772904 4837230 4840128 4971775 5041800 5159712 5369517 5374700 5377920 5450400 5804676 5966130 6050160 6134400 6361071 6363872 6449640 6540480 6722400 6879616 7159356 7255845 7267200 7562700 7739568 7954840 8062050 8066880 8175600 8481428 8599520 8949195 8963200 9545808 9674460 9680256 9943550 10083600 10319424 10601785 10739034 10749400 10900800 11609352 11932260 12093075 12100320 12722142 12727744 12899280 13080960 13444800 14318712 14511690 14915325 15125400 15479136 15909680 16124100 16133760 16351200 16962856 17199040 17898390 19083213 19091616 19348920 19887100 20167200 20638848 21203570 21478068 21498800 21801600 23218704 23864520 24186150 24200640 25444284 25455488 25798560 26847585 26889600 28637424 29023380 29830650 30250800 30958272 31805355 31819360 32248200 32702400 33925712 34398080 35796780 36279225 38166426 38183232 38697840 39774200 40334400 42407140 42956136 42997600 44745975 46437408 47729040 48372300 48401280 50888568 51597120 53008925 53695170 57249639 57274848 58046760 59661300 60501600 61916544 63610710 63638720 64496400 65404800 67851424 71593560 72558450 76332852 76366464 77395680 79548400 80668800 84814280 85912272 85995200 89491950 92874816 95416065 95458080 96744600 101777136 103194240 106017850 107390340 114499278 114549696 116093520 119322600 121003200 127221420 127277440 128992800 134237925 135702848 143187120 145116900 150545347 152665704 154791360 159026775 159096800 169628560 171824544 171990400 178983900 185749632 190832130 190916160 193489200 203554272 212035700 214780680 228998556 229099392 232187040 238645200 242006400 254442840 257985600 268475850 271405696 286248195 286374240 290233800 301090694 305331408 309582720 318053550 318193600 339257120 343649088 357967800 381664260 381832320 386978400 407108544 424071400 429561360 451636041 457997112 464374080 477080325 477290400 508885680 515971200 536951700 572496390 572748480 580467600 602181388 610662816 636107100 636387200 678514240 687298176 715935600 752726735 763328520 773956800 814217088 848142800 859122720 903272082 915994224 928748160 954160650 954580800 1017771360 1073903400 1144992780 1145496960 1160935200 1204362776 1221325632 1272214200 1354908123 1357028480 1431240975 1431871200 1505453470 1526657040 1547913600 1696285600 1718245440 1806544164 1831988448 1908321300 1909161600 2035542720 2147806800 2258180205 2289985560 2321870400 2408725552 2442651264 2544428400 2709816246 2862481950 2863742400 3010906940 3053314080 3392571200 3436490880 3613088328 3663976896 3763633675 3816642600 4064724369 4071085440 4295613600 4516360410 4579971120 4643740800 4817451104 5088856800 5419632492 5724963900 5727484800 6021813880 6106628160 6774540615 6785142400 7226176656 7327953792 7527267350 7633285200 8129448738 8591227200 9032720820 9159942240 9634902208 10177713600 10839264984 11290901025 11449927800 12043627760 12213256320 13549081230 14452353312 15054534700 15266570400 16258897476 17182454400 18065441640 18319884480 19269804416 20323621845 20355427200 21678529968 22581802050 22899855600 24087255520 27098162460 28904706624 30109069400 30533140800 32517794952 33872703075 36130883280 36639768960 40647243690 43357059936 45163604100 45799711200 48174511040 54196324920 57809413248 60218138800 61066281600 65035589904 67745406150 72261766560 81294487380 86714119872 90327208200 91599422400 96349022080 101618109225 108392649840 120436277600 130071179808 135490812300 144523533120 162588974760 173428239744 180654416400 183198844800 203236218450 216785299680 240872555200 260142359616 270981624600 289047066240 325177949520 361308832800 406472436900 433570599360 481745110400 520284719232 541963249200 650355899040 722617665600 812944873800 867141198720 1083926498400 1300711798080 1445235331200 1625889747600 2167852996800 2601423596160 3251779495200 4335705993600 6503558990400 13007117980800
• Sum of all divisors σ(n): 48353921222400
• Sum of proper divisors (its aliquot sum) s(n): 35346803241600
• 13007117980800 is an abundant number, because the sum of its proper divisors (35346803241600) is greater than itself. Its abundance is 22339685260800

Bases of 13007117980800

• Binary: 10111101010001110100101001011001010010000000₂
• Hexadecimal: 0xBD474A59480
• Base-36: 4LZDY7MO0

Squares and roots of 13007117980800

• 13007117980800 squared (13007117980800²) is 169185118166450669168640000
• 13007117980800 cubed (13007117980800³) is 2200610792586613226259609531482112000000
• The square root of 13007117980800 is 3606538.2267210201
• The cube root of 13007117980800 is 23517.6375698809

Scales and comparisons

• 13,007,117,980,800 seconds is equal to 413,586 years, 6 weeks, 1 day.
• To count from 1 to 13,007,117,980,800 would take you about one million, thirty-three thousand, nine hundred sixty-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 13007117980800 cubic inches would be around 1959.8 feet tall.

Recreational maths with 13007117980800

• 13007117980800 backwards is 00808971170031
• 13007117980800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13007117980800's digits is 45
• More coming soon!