123345732272128000

Names of 123345732272128000

• Cardinal: 123345732272128000 can be written as One hundred twenty-three quadrillion, three hundred forty-five trillion, seven hundred thirty-two billion, two hundred seventy-two million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.23345732272128 × 10¹⁷

Factors of 123345732272128000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 11429

Divisors of 123345732272128000

• Number of divisors d(n): 456
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 512 580 640 725 800 928 1000 1024 1160 1280 1450 1600 1856 2000 2048 2320 2560 2900 3200 3625 3712 4000 4096 4640 5120 5800 6400 7250 7424 8000 8192 9280 10240 11393 11600 12800 14500 14848 16000 16384 18560 20480 22786 23200 25600 29000 29696 32000 32768 37120 40960 45572 46400 51200 56965 58000 59392 64000 65536 74240 81920 91144 92800 102400 113930 116000 118784 128000 131072 148480 163840 182288 185600 204800 227860 232000 237568 256000 262144 284825 296960 327680 330397 364576 371200 409600 455720 464000 475136 512000 569650 593920 655360 660794 729152 742400 819200 911440 928000 950272 1024000 1139300 1187840 1310720 1321588 1424125 1458304 1484800 1638400 1651985 1822880 1856000 1900544 2048000 2278600 2375680 2643176 2848250 2916608 2969600 3276800 3303970 3645760 3712000 3801088 4096000 4557200 4751360 5286352 5696500 5833216 5939200 6553600 6607940 7291520 7424000 7602176 8192000 8259925 9114400 9502720 10572704 11393000 11666432 11878400 13215880 14583040 14848000 16384000 16519850 18228800 19005440 21145408 22786000 23332864 23756800 26431760 29166080 29696000 32768000 33039700 36457600 38010880 41299625 42290816 45572000 46665728 47513600 52863520 58332160 59392000 66079400 72915200 82599250 84581632 91144000 93331456 95027200 105727040 116664320 118784000 129800449 132158800 145830400 165198500 169163264 182288000 186662912 190054400 211454080 233328640 237568000 259600898 264317600 291660800 330397000 338326528 364576000 373325824 422908160 466657280 475136000 519201796 528635200 583321600 649002245 660794000 676653056 729152000 746651648 845816320 933314560 950272000 1038403592 1057270400 1166643200 1298004490 1321588000 1353306112 1458304000 1493303296 1691632640 1866629120 2076807184 2114540800 2333286400 2596008980 2643176000 2706612224 2916608000 2986606592 3245011225 3383265280 3733258240 3764213021 4153614368 4229081600 4666572800 5192017960 5286352000 5413224448 5833216000 6490022450 6766530560 7466516480 7528426042 8307228736 8458163200 9333145600 10384035920 10572704000 10826448896 11666432000 12980044900 13533061120 14933032960 15056852084 16225056125 16614457472 16916326400 18666291200 18821065105 20768071840 21145408000 21652897792 23332864000 25960089800 27066122240 30113704168 32450112250 33228914944 33832652800 37332582400 37642130210 41536143680 42290816000 43305795584 46665728000 51920179600 54132244480 60227408336 64900224500 66457829888 67665305600 74665164800 75284260420 83072287360 84581632000 86611591168 93331456000 94105325525 103840359200 108264488960 120454816672 129800449000 132915659776 135330611200 150568520840 166144574720 169163264000 186662912000 188210651050 207680718400 216528977920 240909633344 259600898000 265831319552 270661222400 301137041680 332289149440 338326528000 373325824000 376421302100 415361436800 433057955840 470526627625 481819266688 519201796000 531662639104 541322444800 602274083360 664578298880 676653056000 752842604200 830722873600 941053255250 963638533376 1038403592000 1063325278208 1082644889600 1204548166720 1329156597760 1353306112000 1505685208400 1661445747200 1882106510500 1927277066752 2076807184000 2126650556416 2165289779200 2409096333440 2658313195520 2706612224000 3011370416800 3322891494400 3764213021000 3854554133504 4153614368000 4253301112832 4818192666880 5316626391040 5413224448000 6022740833600 6645782988800 7528426042000 7709108267008 8307228736000 8506602225664 9636385333760 10633252782080 10826448896000 12045481667200 13291565977600 15056852084000 15418216534016 16614457472000 17013204451328 19272770667520 21266505564160 24090963334400 26583131955200 30113704168000 30836433068032 33228914944000 34026408902656 38545541335040 42533011128320 48181926668800 53166263910400 60227408336000 61672866136064 66457829888000 77091082670080 85066022256640 96363853337600 106332527820800 120454816672000 123345732272128 132915659776000 154182165340160 170132044513280 192727706675200 212665055641600 240909633344000 246691464544256 265831319552000 308364330680320 385455413350400 425330111283200 481819266688000 493382929088512 531662639104000 616728661360640 770910826700800 850660222566400 963638533376000 986765858177024 1063325278208000 1233457322721280 1541821653401600 1927277066752000 2126650556416000 2466914645442560 3083643306803200 3854554133504000 4253301112832000 4933829290885120 6167286613606400 7709108267008000 12334573227212800 15418216534016000 24669146454425600 30836433068032000 61672866136064000 123345732272128000
• Sum of all divisors σ(n): 318514536900803880
• Sum of proper divisors (its aliquot sum) s(n): 195168804628675880
• 123345732272128000 is an abundant number, because the sum of its proper divisors (195168804628675880) is greater than itself. Its abundance is 71823072356547880

Bases of 123345732272128000

• Binary: 110110110001101100100101000111100101001000000000000000000₂
• Hexadecimal: 0x1B6364A3CA40000
• Base-36: XQIEV5AE58G

Squares and roots of 123345732272128000

• 123345732272128000 squared (123345732272128000²) is 15214169669747478789445648384000000
• 123345732272128000 cubed (123345732272128000³) is 1876602898827402590327689282153362491441152000000000
• The square root of 123345732272128000 is 351206110.8126223933
• The cube root of 123345732272128000 is 497784.5073804639

Scales and comparisons

• 123,345,732,272,128,000 seconds is equal to 3,922,012,752 years, 44 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 123,345,732,272,128,000 would take you about eleven billion, seven hundred sixty-six million, thirty-eight thousand, two hundred fifty-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 123345732272128000 cubic inches would be around 41482 feet tall.

Recreational maths with 123345732272128000

• 123345732272128000 backwards is 000821272237543321
• The number of decimal digits it has is: 18
• The sum of 123345732272128000's digits is 52
• More coming soon!