213034838016

Names of 213034838016

• Cardinal: 213034838016 can be written as Two hundred thirteen billion, thirty-four million, eight hundred thirty-eight thousand and sixteen.

Scientific notation

• Scientific notation: 2.13034838016 × 10¹¹

Factors of 213034838016

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 150

Divisors of 213034838016

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 47 48 52 56 64 66 67 77 78 84 88 91 94 96 104 112 121 128 132 134 141 143 154 156 168 176 182 188 192 201 208 224 231 242 256 264 268 273 282 286 308 312 329 336 352 363 364 376 384 402 416 429 448 462 469 484 512 517 528 536 546 564 572 611 616 624 658 672 704 726 728 737 752 768 804 832 847 858 871 896 924 938 968 987 1001 1024 1034 1056 1072 1092 1128 1144 1222 1232 1248 1316 1344 1407 1408 1452 1456 1474 1504 1536 1551 1573 1608 1664 1694 1716 1742 1792 1833 1848 1876 1936 1974 2002 2048 2068 2112 2144 2184 2211 2256 2288 2444 2464 2496 2541 2613 2632 2688 2814 2816 2904 2912 2948 3003 3008 3072 3102 3146 3149 3216 3328 3388 3432 3484 3584 3619 3666 3696 3752 3872 3948 4004 4136 4224 4277 4288 4368 4422 4512 4576 4719 4888 4928 4992 5082 5159 5226 5264 5376 5628 5632 5687 5808 5824 5896 6006 6016 6097 6144 6204 6292 6298 6432 6656 6721 6776 6864 6968 7168 7238 7332 7392 7504 7744 7896 8008 8107 8272 8448 8554 8576 8736 8844 9024 9152 9438 9447 9581 9776 9856 9984 10164 10318 10452 10528 10752 10857 11011 11256 11264 11374 11616 11648 11792 12012 12032 12194 12408 12584 12596 12831 12864 13312 13442 13552 13728 13936 14336 14476 14664 14784 15008 15477 15488 15792 16016 16214 16544 16896 17061 17108 17152 17472 17688 18048 18291 18304 18876 18894 19162 19552 19712 19968 20163 20328 20636 20904 21056 21504 21714 22022 22043 22512 22528 22748 23232 23296 23584 24024 24064 24321 24388 24816 25168 25192 25662 25728 26624 26884 27104 27456 27872 28743 28952 29328 29568 30016 30954 30976 31584 32032 32428 33033 33088 33792 34122 34216 34304 34639 34944 35376 36096 36582 36608 37752 37788 38324 39104 39424 39809 39936 40326 40656 40937 41272 41808 42112 43008 43428 44044 44086 45024 45496 46464 46592 47047 47168 48048 48128 48642 48776 49632 50336 50384 51324 51456 53768 54208 54912 55744 56749 57486 57904 58656 59136 60032 61908 61952 63168 64064 64856 66066 66129 66176 67067 67584 68244 68432 68608 69278 69888 70752 72192 73164 73216 73931 75504 75576 76648 78208 78848 79618 79872 80652 81312 81874 82544 83616 84224 86856 88088 88172 90048 90992 92928 93184 94094 94336 96096 96256 97284 97552 99264 100672 100768 102648 102912 103917 105391 107536 108416 109824 111488 113498 114972 115808 117312 118272 119427 120064 122811 123816 123904 126336 128128 129712 132132 132258 132352 134134 136488 136864 137216 138556 139776 141141 141504 144384 146328 146432 147862 151008 151152 153296 156416 157696 159236 161304 162624 163748 165088 167232 168448 170247 173712 176176 176344 180096 181984 185856 186368 188188 188672 192192 194568 195104 198528 201201 201344 201536 205296 205824 207834 210782 215072 216832 219648 221793 222976 226996 229944 231616 234624 236544 238854 240128 242473 245622 247632 247808 252672 256256 259424 264264 264516 264704 268268 272976 273728 277112 279552 282282 283008 286559 288768 292656 292864 295724 302016 302304 306592 312832 316173 318472 322608 325248 327496 330176 334464 336896 340494 347424 352352 352688 360192 363968 371712 376376 377344 381029 384384 389136 390208 397056 402402 402688 403072 410592 411648 415668 421564 430144 433664 439296 443586 445952 450307 453992 459888 463232 469248 473088 477708 480256 484946 491244 495264 505344 512512 517517 518848 528528 529032 529408 536536 545952 547456 554224 559104 564564 566016 573118 585312 591448 604032 604608 613184 625664 632346 636944 645216 650496 654992 660352 668928 673792 680988 694848 704704 705376 720384 727419 727936 737737 743424 752752 754688 762058 768768 778272 780416 794112 804804 805376 806144 821184 831336 843128 859677 860288 867328 878592 887172 891904 900614 907984 919776 926464 938496 955416 960512 969892 982488 990528 1010688 1025024 1035034 1037696 1057056 1058064 1058816 1073072 1091904 1094912 1108448 1129128 1132032 1143087 1146236 1170624 1182896 1208064 1209216 1226368 1251328 1264692 1273888 1290432 1300992 1309984 1320704 1337856 1350921 1361976 1389696 1409408 1410752 1440768 1454838 1455872 1475474 1505504 1509376 1524116 1537536 1552551 1556544 1560832 1588224 1609608 1610752 1612288 1642368 1662672 1686256 1719354 1720576 1734656 1774344 1783808 1801228 1815968 1839552 1852928 1876992 1910832 1939784 1964976 1981056 2021376 2050048 2070068 2075392 2114112 2116128 2146144 2183808 2189824 2213211 2216896 2258256 2264064 2286174 2292472 2341248 2365792 2416128 2418432 2452736 2529384 2547776 2580864 2601984 2619968 2641408 2667203 2675712 2701842 2723952 2779392 2818816 2821504 2881536 2909676 2911744 2950948 3011008 3048232 3075072 3105102 3113088 3121664 3152149 3176448 3219216 3221504 3224576 3284736 3325344 3372512 3438708 3441152 3548688 3602456 3631936 3679104 3705856 3753984 3821664 3879568 3929952 3962112 4140136 4150784 4228224 4232256 4292288 4367616 4379648 4426422 4433792 4516512 4528128 4572348 4584944 4682496 4731584 4832256 4836864 4905472 4953377 5058768 5095552 5161728 5203968 5239936 5282816 5334406 5351424 5403684 5447904 5558784 5637632 5643008 5819352 5823488 5901896 6022016 6096464 6150144 6210204 6226176 6243328 6304298 6438432 6449152 6569472 6650688 6745024 6877416 6882304 7097376 7204912 7263872 7358208 7411712 7643328 7759136 7859904 7924224 8001609 8280272 8301568 8456448 8464512 8584576 8735232 8759296 8852844 8867584 9033024 9144696 9169888 9364992 9456447 9463168 9664512 9673728 9810944 9906754 10117536 10191104 10323456 10479872 10565632 10668812 10807368 10895808 11117568 11275264 11286016 11638704 11646976 11803792 12044032 12192928 12420408 12452352 12486656 12608596 12876864 13138944 13301376 13490048 13754832 13764608 14194752 14409824 14527744 14716416 14860131 15286656 15518272 15719808 15848448 16003218 16560544 16603136 16912896 16929024 17169152 17470464 17705688 17735168 18066048 18289392 18339776 18729984 18912894 18926336 19347456 19621888 19813508 20235072 20382208 20646912 20959744 21337624 21614736 21791616 22235136 22550528 22572032 23277408 23607584 24088064 24385856 24840816 24904704 25217192 25753728 26277888 26602752 26980096 27509664 28389504 28819648 29055488 29432832 29720262 30573312 31036544 31439616 31696896 32006436 33121088 33825792 33858048 34338304 34673639 34940928 35411376 35470336 36132096 36578784 36679552 37459968 37825788 37852672 39627016 40470144 40764416 41293824 41919488 42675248 43229472 43583232 45144064 46554816 47215168 48176128 48771712 49681632 49809408 50434384 51507456 53205504 53960192 55019328 56779008 57639296 58110976 58865664 59440524 61146624 62073088 62879232 64012872 66242176 67651584 67716096 68676608 69347278 70822752 70940672 72264192 73157568 73359104 75651576 75705344 79254032 80940288 81528832 83838976 85350496 86458944 87166464 93109632 94430336 96352256 97543424 99363264 100868768 103014912 104020917 106411008 107920384 110038656 113558016 115278592 116221952 118881048 122293248 124146176 125758464 128025744 132484352 135432192 137353216 138694556 141645504 144528384 146315136 146718208 151303152 151410688 158508064 161880576 170700992 172917888 174332928 186219264 188860672 195086848 198726528 201737536 206029824 208041834 212822016 215840768 220077312 227116032 230557184 237762096 244586496 248292352 251516928 256051488 264968704 277389112 283291008 289056768 292630272 293436416 302606304 317016128 323761152 341401984 345835776 348665856 372438528 377721344 390173696 397453056 403475072 412059648 416083668 440154624 454232064 461114368 475524192 496584704 512102976 529937408 554778224 566582016 585260544 586872832 605212608 634032256 647522304 682803968 691671552 744877056 755442688 780347392 794906112 806950144 832167336 880309248 922228736 951048384 1024205952 1059874816 1109556448 1133164032 1170521088 1210425216 1268064512 1365607936 1383343104 1489754112 1510885376 1589812224 1613900288 1664334672 1760618496 1902096768 2048411904 2219112896 2266328064 2341042176 2420850432 2536129024 2731215872 2766686208 3179624448 3227800576 3328669344 3804193536 4096823808 4438225792 4532656128 4841700864 5072258048 5462431744 6455601152 6657338688 7608387072 8193647616 8876451584 9683401728 10144516096 13314677376 15216774144 16387295232 17752903168 19366803456 26629354752 30433548288 35505806336 53258709504 71011612672 106517419008 213034838016
• Sum of all divisors σ(n): 796404510720
• Sum of proper divisors (its aliquot sum) s(n): 583369672704
• 213034838016 is an abundant number, because the sum of its proper divisors (583369672704) is greater than itself. Its abundance is 370334834688

Bases of 213034838016

• Binary: 11000110011001110111011010100000000000₂
• Hexadecimal: 0x3199DDA800
• Base-36: 2PV7FX1C

Squares and roots of 213034838016

• 213034838016 squared (213034838016²) is 45383842208503358816256
• 213034838016 cubed (213034838016³) is 9668339473432216743213022467588096
• The square root of 213034838016 is 461556.9715820573
• The cube root of 213034838016 is 5972.4181980989

Scales and comparisons

• 213,034,838,016 seconds is equal to 6,773 years, 44 weeks, 23 hours, 53 minutes, 36 seconds.
• To count from 1 to 213,034,838,016 would take you about thirteen thousand, five hundred forty-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 213034838016 cubic inches would be around 497.7 feet tall.

Recreational maths with 213034838016

• 213034838016 backwards is 610838430312
• 213034838016 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 213034838016's digits is 39
• More coming soon!