21742978041126912

Names of 21742978041126912

• Cardinal: 21742978041126912 can be written as Twenty-one quadrillion, seven hundred forty-two trillion, nine hundred seventy-eight billion, forty-one million, one hundred twenty-six thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 2.1742978041126912 × 10¹⁶

Factors of 21742978041126912

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1215

Divisors of 21742978041126912

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 552 736 768 1024 1058 1104 1187 1472 1536 1587 2048 2116 2208 2374 2944 3072 3174 3561 4096 4232 4416 4748 5888 6144 6348 7122 8192 8464 8832 9496 11776 12288 12696 14244 16928 17664 18992 23552 24576 25392 27301 28488 33856 35328 37984 47104 50784 54602 56976 67712 70656 75968 81903 94208 101568 109204 113952 135424 141312 151936 163806 188416 203136 218408 227904 270848 282624 303872 327612 406272 436816 455808 541696 565248 607744 627923 655224 812544 873632 911616 1083392 1215488 1255846 1310448 1408969 1625088 1747264 1823232 1883769 2166784 2430976 2511692 2620896 2817938 3250176 3494528 3646464 3767538 4226907 4333568 4861952 5023384 5241792 5635876 6500352 6989056 7292928 7535076 8453814 9723904 10046768 10483584 11271752 13000704 13978112 14585856 15070152 16907628 20093536 20967168 22543504 27956224 29171712 30140304 32406287 33815256 40187072 41934336 45087008 55912448 60280608 64812574 67630512 80374144 83868672 90174016 97218861 111824896 120561216 129625148 135261024 160748288 167737344 180348032 194437722 223649792 241122432 259250296 270522048 321496576 335474688 360696064 388875444 482244864 518500592 541044096 642993152 670949376 721392128 745344601 777750888 964489728 1037001184 1082088192 1285986304 1442784256 1490689202 1555501776 1672446203 1928979456 2074002368 2164176384 2236033803 2571972608 2885568512 2981378404 3111003552 3344892406 3857958912 4148004736 4328352768 4472067606 5017338609 5143945216 5771137024 5962756808 6222007104 6689784812 7715917824 8296009472 8656705536 8944135212 10034677218 11542274048 11925513616 12444014208 13379569624 15431835648 16592018944 17313411072 17888270424 20069354436 23851027232 24888028416 26759139248 33184037888 34626822144 35776540848 38466262669 40138708872 47702054464 49776056832 53518278496 66368075776 71553081696 76932525338 80277417744 95404108928 99552113664 107036556992 115398788007 132736151552 143106163392 153865050676 160554835488 190808217856 199104227328 214073113984 230797576014 265472303104 286212326784 307730101352 321109670976 381616435712 398208454656 428146227968 461595152028 572424653568 615460202704 642219341952 763232871424 796416909312 856292455936 884724041387 923190304056 1144849307136 1230920405408 1284438683904 1526465742848 1712584911872 1769448082774 1846380608112 2289698614272 2461840810816 2568877367808 2654172124161 3052931485696 3425169823744 3538896165548 3692761216224 4579397228544 4923681621632 5137754735616 5308344248322 6105862971392 6850339647488 7077792331096 7385522432448 9158794457088 9847363243264 10275509471232 10616688496644 13700679294976 14155584662192 14771044864896 18317588914176 19694726486528 20551018942464 21233376993288 28311169324384 29542089729792 39389452973056 41102037884928 42466753986576 56622338648768 59084179459584 78778905946112 84933507973152 113244677297536 118168358919168 157557811892224 169867015946304 226489354595072 236336717838336 315115623784448 339734031892608 452978709190144 472673435676672 679468063785216 905957418380288 945346871353344 1358936127570432 1811914836760576 2717872255140864 3623829673521152 5435744510281728 7247659347042304 10871489020563456 21742978041126912
• Sum of all divisors σ(n): 60659208705886560
• Sum of proper divisors (its aliquot sum) s(n): 38916230664759648
• 21742978041126912 is an abundant number, because the sum of its proper divisors (38916230664759648) is greater than itself. Its abundance is 17173252623632736

Bases of 21742978041126912

• Binary: 1001101001111110001111110010010100000000010000000000000₂
• Hexadecimal: 0x4D3F1F92802000
• Base-36: 5Y38Q7UMOLC

Squares and roots of 21742978041126912

• 21742978041126912 squared (21742978041126912²) is 472757094096927087339294890655744
• 21742978041126912 cubed (21742978041126912³) is 10279147115736454933922407134459742475680405782528
• The square root of 21742978041126912 is 147455003.4455491511
• The cube root of 21742978041126912 is 279108.4655162013

Scales and comparisons

• 21,742,978,041,126,912 seconds is equal to 691,359,446 years, 13 weeks, 3 days, 23 hours, 15 minutes, 12 seconds.
• To count from 1 to 21,742,978,041,126,912 would take you about two billion, seventy-four million, seventy-eight thousand, three hundred thirty-eight 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 21742978041126912 cubic inches would be around 23259 feet tall.

Recreational maths with 21742978041126912

• 21742978041126912 backwards is 21962114087924712
• The number of decimal digits it has is: 17
• The sum of 21742978041126912's digits is 66
• More coming soon!