34139894604800

Names of 34139894604800

• Cardinal: 34139894604800 can be written as Thirty-four trillion, one hundred thirty-nine billion, eight hundred ninety-four million, six hundred four thousand, eight hundred.

Scientific notation

• Scientific notation: 3.41398946048 × 10¹³

Factors of 34139894604800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 545

Divisors of 34139894604800

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 289 320 340 400 425 512 521 544 578 640 680 800 850 1024 1042 1088 1156 1280 1360 1445 1600 1700 2084 2176 2312 2560 2605 2720 2890 3200 3400 4168 4352 4624 4913 5120 5210 5440 5780 6400 6800 7225 8336 8704 8857 9248 9826 10420 10880 11560 12800 13025 13600 14450 16672 17408 17714 18496 19652 20840 21760 23120 24565 25600 26050 27200 28900 33344 35428 36992 39304 41680 43520 44285 46240 49130 52100 54400 57800 66688 70856 73984 78608 83360 87040 88570 92480 98260 104200 108800 115600 122825 133376 141712 147968 150569 157216 166720 177140 184960 196520 208400 217600 221425 231200 245650 266752 271441 283424 295936 301138 314432 333440 354280 369920 393040 416800 435200 442850 462400 491300 533504 542882 566848 602276 628864 666880 708560 739840 752845 786080 833600 885700 924800 982600 1085764 1133696 1204552 1257728 1333760 1357205 1417120 1479680 1505690 1572160 1667200 1771400 1849600 1965200 2171528 2267392 2409104 2515456 2559673 2667520 2714410 2834240 3011380 3144320 3334400 3542800 3699200 3764225 3930400 4343056 4534784 4614497 4818208 5030912 5119346 5428820 5668480 6022760 6288640 6668800 6786025 7085600 7398400 7528450 7860800 8686112 9069568 9228994 9636416 10238692 10857640 11336960 12045520 12577280 12798365 13337600 13572050 14171200 15056900 15721600 17372224 18457988 19272832 20477384 21715280 22673920 23072485 24091040 25154560 25596730 27144100 28342400 30113800 31443200 34744448 36915976 38545664 40954768 43430560 45347840 46144970 48182080 51193460 54288200 56684800 60227600 62886400 63991825 69488896 73831952 77091328 78446449 81909536 86861120 92289940 96364160 102386920 108576400 113369600 115362425 120455200 125772800 127983650 138977792 147663904 154182656 156892898 163819072 173722240 184579880 192728320 204773840 217152800 226739200 230724850 240910400 255967300 277955584 295327808 313785796 327638144 347444480 369159760 385456640 392232245 409547680 434305600 461449700 481820800 511934600 590655616 627571592 655276288 694888960 738319520 770913280 784464490 819095360 868611200 922899400 963641600 1023869200 1181311232 1255143184 1310552576 1333589633 1389777920 1476639040 1568928980 1638190720 1737222400 1845798800 1927283200 1961161225 2047738400 2362622464 2510286368 2621105152 2667179266 2953278080 3137857960 3276381440 3474444800 3691597600 3854566400 3922322450 4095476800 4725244928 5020572736 5334358532 5906556160 6275715920 6552762880 6667948165 6948889600 7383195200 7844644900 8190953600 10041145472 10668717064 11813112320 12551431840 13105525760 13335896330 14766390400 15689289800 16381907200 20082290944 21337434128 23626224640 25102863680 26671792660 29532780800 31378579600 32763814400 33339740825 40164581888 42674868256 50205727360 53343585320 59065561600 62757159200 65527628800 66679481650 80329163776 85349736512 100411454720 106687170640 118131123200 125514318400 133358963300 170699473024 200822909440 213374341280 251028636800 266717926600 341398946048 401645818880 426748682560 502057273600 533435853200 682797892096 853497365120 1004114547200 1066871706400 1365595784192 1706994730240 2008229094400 2133743412800 3413989460480 4267486825600 6827978920960 8534973651200 17069947302400 34139894604800
• Sum of all divisors σ(n): 90086530795020
• Sum of proper divisors (its aliquot sum) s(n): 55946636190220
• 34139894604800 is an abundant number, because the sum of its proper divisors (55946636190220) is greater than itself. Its abundance is 21806741585420

Bases of 34139894604800

• Binary: 111110000110011010000010010100110010000000000₂
• Hexadecimal: 0x1F0CD04A6400
• Base-36: C3NNFS54W

Squares and roots of 34139894604800

• 34139894604800 squared (34139894604800²) is 1165532403626852148183040000
• 34139894604800 cubed (34139894604800³) is 39791153418299945606161457418862592000000
• The square root of 34139894604800 is 5842935.4441752993
• The cube root of 34139894604800 is 32440.4889983521

Scales and comparisons

• 34,139,894,604,800 seconds is equal to 1,085,543 years, 2 weeks, 3 days, 53 minutes, 20 seconds.
• To count from 1 to 34,139,894,604,800 would take you about two million, seven hundred thirteen thousand, eight hundred fifty-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 34139894604800 cubic inches would be around 2703.4 feet tall.

Recreational maths with 34139894604800

• 34139894604800 backwards is 00840649893143
• The number of decimal digits it has is: 14
• The sum of 34139894604800's digits is 59
• More coming soon!