105013416448000

Names of 105013416448000

• Cardinal: 105013416448000 can be written as One hundred five trillion, thirteen billion, four hundred sixteen million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.05013416448 × 10¹⁴

Factors of 105013416448000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 217

Divisors of 105013416448000

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 128 157 160 200 212 250 256 265 314 320 400 424 500 512 530 628 640 785 800 848 1000 1024 1060 1256 1280 1325 1570 1600 1696 2000 2048 2120 2512 2560 2650 3140 3200 3392 3925 4000 4096 4240 5024 5120 5300 6280 6400 6625 6784 7850 8000 8321 8480 10048 10240 10600 12560 12800 13250 13568 15700 16000 16642 16960 19625 20096 20480 21200 24649 25120 25600 26500 27136 31400 32000 33284 33920 39250 40192 41605 42400 49298 50240 51200 53000 54272 62800 64000 66568 67840 78500 80384 83210 84800 98596 100480 102400 106000 108544 123245 125600 128000 133136 135680 157000 160768 166420 169600 197192 200960 208025 212000 217088 246490 251200 256000 266272 271360 314000 321536 332840 339200 394384 401920 416050 424000 492980 502400 512000 532544 542720 616225 628000 643072 665680 678400 788768 803840 832100 848000 985960 1004800 1040125 1065088 1085440 1232450 1256000 1306397 1331360 1356800 1577536 1607680 1664200 1696000 1971920 2009600 2080250 2130176 2464900 2512000 2612794 2662720 2713600 3081125 3155072 3215360 3328400 3392000 3869893 3943840 4019200 4160500 4260352 4929800 5024000 5225588 5325440 5427200 6162250 6310144 6531985 6656800 6784000 7739786 7887680 8038400 8321000 8520704 9859600 10048000 10451176 10650880 12324500 12620288 13063970 13313600 13568000 15479572 15775360 16076800 16642000 17041408 19349465 19719200 20096000 20902352 21301760 24649000 25240576 26127940 26627200 27136000 30959144 31550720 32659925 33284000 34082816 38698930 39438400 40192000 41804704 42603520 49298000 50481152 52255880 53254400 61918288 63101440 65319850 66568000 77397860 78876800 80384000 83609408 85207040 96747325 98596000 100962304 104511760 106508800 123836576 126202880 130639700 133136000 154795720 157753600 163299625 167218816 170414080 193494650 197192000 205104329 209023520 213017600 247673152 252405760 261279400 266272000 309591440 315507200 326599250 334437632 386989300 394384000 410208658 418047040 426035200 483736625 495346304 504811520 522558800 532544000 619182880 631014400 653198500 668875264 773978600 788768000 820417316 836094080 852070400 967473250 990692608 1025521645 1045117600 1065088000 1238365760 1262028800 1306397000 1337750528 1547957200 1577536000 1640834632 1672188160 1934946500 1981385216 2051043290 2090235200 2130176000 2476731520 2524057600 2612794000 2675501056 3095914400 3155072000 3281669264 3344376320 3869893000 3962770432 4102086580 4180470400 4260352000 4953463040 5127608225 5225588000 5351002112 6191828800 6310144000 6563338528 6688752640 7739786000 7925540864 8204173160 8360940800 9906926080 10255216450 10451176000 12383657600 12620288000 13126677056 13377505280 15479572000 15851081728 16408346320 16721881600 19813852160 20510432900 20902352000 24767315200 25638041125 26253354112 26755010560 30959144000 32816692640 33443763200 39627704320 41020865800 41804704000 49534630400 51276082250 52506708224 61918288000 65633385280 66887526400 79255408640 82041731600 83609408000 99069260800 102552164500 105013416448 123836576000 131266770560 133775052800 164083463200 167218816000 198138521600 205104329000 210026832896 247673152000 262533541120 328166926400 334437632000 396277043200 410208658000 420053665792 495346304000 525067082240 656333852800 668875264000 820417316000 840107331584 990692608000 1050134164480 1312667705600 1640834632000 1981385216000 2100268328960 2625335411200 3281669264000 4200536657920 5250670822400 6563338528000 10501341644800 13126677056000 21002683289600 26253354112000 52506708224000 105013416448000
• Sum of all divisors σ(n): 268738132384800
• Sum of proper divisors (its aliquot sum) s(n): 163724715936800
• 105013416448000 is an abundant number, because the sum of its proper divisors (163724715936800) is greater than itself. Its abundance is 58711299488800

Bases of 105013416448000

• Binary: 10111111000001001010111011000100101000000000000₂
• Hexadecimal: 0x5F8257625000
• Base-36: 1182HWSC1S

Squares and roots of 105013416448000

• 105013416448000 squared (105013416448000²) is 11027817634081076936704000000
• 105013416448000 cubed (105013416448000³) is 1158068805720354210150425288507392000000000
• The square root of 105013416448000 is 10247605.4006777603
• The cube root of 105013416448000 is 47178.9490730169

Scales and comparisons

• 105,013,416,448,000 seconds is equal to 3,339,101 years, 42 weeks, 2 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 105,013,416,448,000 would take you about eight million, three hundred forty-seven thousand, seven hundred fifty-four 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 105013416448000 cubic inches would be around 3931.6 feet tall.

Recreational maths with 105013416448000

• 105013416448000 backwards is 000844614310501
• The number of decimal digits it has is: 15
• The sum of 105013416448000's digits is 37
• More coming soon!