13601413716480
13,601,413,716,480 is an even composite number composed of six prime numbers multiplied together.
13601413716480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13601413716480:
29 × 32 × 5 × 232 × 1021 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 23 × 1021 × 1093)See below for interesting mathematical facts about the number 13601413716480 from the Numbermatics database.
Names of 13601413716480
- Cardinal: 13601413716480 can be written as Thirteen trillion, six hundred one billion, four hundred thirteen million, seven hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.360141371648 × 1013
Factors of 13601413716480
Divisors of 13601413716480
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 90 92 96 115 120 128 138 144 160 180 184 192 207 230 240 256 276 288 320 345 360 368 384 414 460 480 512 529 552 576 640 690 720 736 768 828 920 960 1021 1035 1058 1093 1104 1152 1280 1380 1440 1472 1536 1587 1656 1840 1920 2042 2070 2116 2186 2208 2304 2560 2645 2760 2880 2944 3063 3174 3279 3312 3680 3840 4084 4140 4232 4372 4416 4608 4761 5105 5290 5465 5520 5760 5888 6126 6348 6558 6624 7360 7680 7935 8168 8280 8464 8744 8832 9189 9522 9837 10210 10580 10930 11040 11520 11776 12252 12696 13116 13248 14720 15315 15870 16336 16395 16560 16928 17488 17664 18378 19044 19674 20420 21160 21860 22080 23040 23483 23805 24504 25139 25392 26232 26496 29440 30630 31740 32672 32790 33120 33856 34976 35328 36756 38088 39348 40840 42320 43720 44160 45945 46966 47610 49008 49185 50278 50784 52464 52992 58880 61260 63480 65344 65580 66240 67712 69952 70449 73512 75417 76176 78696 81680 84640 87440 88320 91890 93932 95220 98016 98370 100556 101568 104928 105984 117415 122520 125695 126960 130688 131160 132480 135424 139904 140898 147024 150834 152352 157392 163360 169280 174880 176640 183780 187864 190440 196032 196740 201112 203136 209856 211347 226251 234830 245040 251390 253920 261376 262320 264960 270848 279808 281796 294048 301668 304704 314784 326720 338560 349760 352245 367560 375728 377085 380880 392064 393480 402224 406272 419712 422694 452502 469660 490080 502780 507840 522752 524640 529920 540109 559616 563592 578197 588096 603336 609408 629568 653440 677120 699520 704490 735120 751456 754170 761760 784128 786960 804448 812544 839424 845388 905004 939320 980160 1005560 1015680 1049280 1056735 1080218 1115953 1127184 1131255 1156394 1176192 1206672 1218816 1259136 1306880 1354240 1399040 1408980 1470240 1502912 1508340 1523520 1568256 1573920 1608896 1620327 1678848 1690776 1734591 1810008 1878640 1960320 2011120 2031360 2098560 2113470 2160436 2231906 2254368 2262510 2312788 2352384 2413344 2437632 2518272 2613760 2700545 2798080 2817960 2890985 2940480 3005824 3016680 3047040 3147840 3217792 3240654 3347859 3381552 3469182 3620016 3757280 3920640 4022240 4062720 4197120 4226940 4320872 4463812 4508736 4525020 4625576 4704768 4826688 4860981 5036544 5203773 5401090 5579765 5635920 5781970 5880960 6011648 6033360 6094080 6295680 6435584 6481308 6695718 6763104 6938364 7240032 7514560 7841280 8044480 8101635 8394240 8453880 8641744 8672955 8927624 9017472 9050040 9251152 9653376 9721962 10043577 10407546 10802180 11159530 11271840 11563940 11761920 12023296 12066720 12188160 12591360 12871168 12962616 13391436 13526208 13876728 14480064 15029120 16088960 16203270 16739295 16907760 17283488 17345910 17855248 18034944 18100080 18502304 19306752 19443924 20087154 20815092 21604360 22319060 22543680 23127880 23523840 24133440 24304905 25182720 25666919 25925232 26018865 26782872 27052416 27753456 28960128 30058240 32177920 32406540 33478590 33815520 34566976 34691820 35710496 36069888 36200160 37004608 38613504 38887848 40174308 41630184 43208720 44638120 45087360 46255760 48266880 48609810 50217885 51333838 51850464 52037730 53565744 54104832 55506912 57920256 60116480 64355840 64813080 66957180 67631040 69133952 69383640 71420992 72400320 74009216 77000757 77775696 80348616 83260368 86417440 89276240 90174720 92511520 96533760 97219620 100435770 102667676 103700928 104075460 107131488 108209664 111013824 115840512 128334595 129626160 133914360 135262080 138267904 138767280 142841984 144800640 148018432 154001514 155551392 160697232 166520736 172834880 178552480 180349440 185023040 193067520 194439240 200871540 205335352 207401856 208150920 214262976 222027648 231002271 256669190 259252320 267828720 270524160 276535808 277534560 285683968 289601280 296036864 308003028 311102784 321394464 333041472 345669760 357104960 370046080 385003785 388878480 401743080 410670704 414803712 416301840 428525952 444055296 462004542 513338380 518504640 535657440 541048320 555069120 571367936 579202560 590339137 616006056 622205568 642788928 666082944 691339520 714209920 740092160 770007570 777756960 803486160 821341408 829607424 832603680 857051904 888110592 924009084 1026676760 1037009280 1071314880 1110138240 1155011355 1180678274 1232012112 1244411136 1285577856 1332165888 1382679040 1428419840 1480184320 1540015140 1555513920 1606972320 1642682816 1665207360 1714103808 1771017411 1848018168 2053353520 2074018560 2142629760 2220276480 2310022710 2361356548 2464024224 2488822272 2571155712 2664331776 2856839680 2951695685 3080030280 3111027840 3213944640 3285365632 3330414720 3542034822 3696036336 4106707040 4148037120 4285259520 4440552960 4620045420 4722713096 4928048448 5142311424 5313052233 5903391370 6160060560 6222055680 6427889280 6570731264 6660829440 7084069644 7392072672 8213414080 8570519040 8855087055 9240090840 9445426192 9856096896 10626104466 11806782740 12320121120 12444111360 12855778560 13141462528 13321658880 14168139288 14784145344 16426828160 17710174110 18480181680 18890852384 19712193792 21252208932 23613565480 24640242240 25711557120 26565261165 28336278576 29568290688 32853656320 35420348220 36960363360 37781704768 39424387584 42504417864 47227130960 49280484480 53130522330 56672557152 59136581376 65707312640 70840696440 73920726720 75563409536 85008835728 94454261920 98560968960 106261044660 113345114304 118273162752 141681392880 147841453440 151126819072 170017671456 188908523840 197121937920 212522089320 226690228608 283362785760 295682906880 302253638144 340035342912 377817047680 425044178640 453380457216 566725571520 591365813760 680070685824 755634095360 850088357280 906760914432 1133451143040 1360141371648 1511268190720 1700176714560 2266902286080 2720282743296 3400353429120 4533804572160 6800706858240 13601413716480
- Sum of all divisors σ(n): 49335960249576
- Sum of proper divisors (its aliquot sum) s(n): 35734546533096
- 13601413716480 is an abundant number, because the sum of its proper divisors (35734546533096) is greater than itself. Its abundance is 22133132816616
Bases of 13601413716480
- Binary: 110001011110110100110110111011011010000000002
- Hexadecimal: 0xC5ED36EDA00
- Base-36: 4TKEIJR40
Squares and roots of 13601413716480
- 13601413716480 squared (136014137164802) is 184998455086850285823590400
- 13601413716480 cubed (136014137164803) is 2516240524545894707281190960121249792000
-
The
square root of 13601413716480 is 3688009.4517883221 -
The
cube root of 13601413716480 is 23870.4908916827
Scales and comparisons
How big is 13601413716480?- 13,601,413,716,480 seconds is equal to 432,482 years, 45 weeks, 6 days, 20 hours, 48 minutes.
-
To count from 1 to 13,601,413,716,480 would take you about one million, eighty-one thousand, two hundred seven 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 13601413716480 cubic inches would be around 1989.2 feet tall.
Recreational maths with 13601413716480
- 13601413716480 backwards is 08461731410631
- 13601413716480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13601413716480's digits is 45
- More coming soon!
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