72984128000

Names of 72984128000

• Cardinal: 72984128000 can be written as Seventy-two billion, nine hundred eighty-four million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 7.2984128 × 10¹⁰

Factors of 72984128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 68

Divisors of 72984128000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 37 40 49 50 56 64 68 70 74 80 85 98 100 112 119 125 128 136 140 148 160 170 175 185 196 200 224 238 245 250 256 259 272 280 296 320 340 350 370 392 400 425 448 476 490 500 512 518 544 560 592 595 629 640 680 700 740 784 800 833 850 875 896 925 952 980 1000 1036 1088 1120 1184 1190 1225 1258 1280 1295 1360 1369 1400 1480 1568 1600 1666 1700 1750 1792 1813 1850 1904 1960 2000 2072 2125 2176 2240 2368 2380 2450 2516 2560 2590 2720 2738 2800 2960 2975 3136 3145 3200 3332 3400 3500 3584 3626 3700 3808 3920 4000 4144 4165 4250 4352 4403 4480 4625 4736 4760 4900 5032 5180 5440 5476 5600 5920 5950 6125 6272 6290 6400 6475 6664 6800 6845 7000 7252 7400 7616 7840 8000 8288 8330 8500 8704 8806 8960 9065 9250 9472 9520 9583 9800 10064 10360 10880 10952 11200 11840 11900 12250 12544 12580 12800 12950 13328 13600 13690 14000 14504 14800 14875 15232 15680 15725 16000 16576 16660 17000 17612 17920 18130 18500 18944 19040 19166 19600 20128 20720 20825 21760 21904 22015 22400 23273 23680 23800 24500 25088 25160 25900 26656 27200 27380 28000 29008 29600 29750 30464 30821 31360 31450 32000 32375 33152 33320 34000 34225 35224 36260 37000 38080 38332 39200 40256 41440 41650 43520 43808 44030 44800 45325 46546 47360 47600 47915 49000 50320 51800 53312 54400 54760 56000 58016 59200 59500 60928 61642 62720 62900 64000 64750 66304 66640 67081 68000 68450 70448 72520 74000 76160 76664 78400 78625 80512 82880 83300 87616 88060 89600 90650 93092 94720 95200 95830 98000 100640 103600 104125 106624 108800 109520 110075 112000 116032 116365 118400 119000 123284 125440 125800 129500 132608 133280 134162 136000 136900 140896 145040 148000 152320 153328 154105 156800 157250 161024 162911 165760 166600 171125 175232 176120 181300 186184 190400 191660 196000 201280 207200 208250 213248 217600 219040 220150 224000 226625 232064 232730 236800 238000 239575 246568 251600 259000 266560 268324 272000 273800 281792 290080 296000 304640 306656 308210 313600 314500 322048 325822 331520 333200 335405 342250 350464 352240 362600 372368 380800 383320 392000 402560 414400 416500 426496 438080 440300 448000 453250 464128 465460 473600 476000 479150 493136 503200 518000 533120 536648 544000 547600 550375 563584 580160 581825 592000 613312 616420 627200 629000 651644 663040 666400 670810 684500 700928 704480 725200 744736 761600 766640 770525 784000 805120 814555 828800 833000 876160 880600 906500 928256 930920 952000 958300 986272 1006400 1036000 1066240 1073296 1088000 1095200 1100750 1127168 1140377 1160320 1163650 1184000 1197875 1226624 1232840 1258000 1303288 1332800 1341620 1369000 1408960 1450400 1489472 1523200 1533280 1541050 1568000 1610240 1629110 1657600 1666000 1677025 1752320 1761200 1813000 1861840 1904000 1916600 1972544 2012800 2072000 2132480 2146592 2190400 2201500 2254336 2280754 2320640 2327300 2368000 2395750 2453248 2465680 2516000 2606576 2665600 2683240 2738000 2817920 2900800 2909125 2978944 3066560 3082100 3136000 3258220 3315200 3332000 3354050 3504640 3522400 3626000 3723680 3808000 3833200 3852625 3945088 4025600 4072775 4144000 4293184 4380800 4403000 4561508 4641280 4654600 4791500 4906496 4931360 5032000 5213152 5331200 5366480 5476000 5635840 5701885 5801600 5818250 5957888 6133120 6164200 6516440 6664000 6708100 7044800 7252000 7447360 7616000 7666400 7705250 7890176 8051200 8145550 8288000 8385125 8586368 8761600 8806000 9123016 9309200 9583000 9862720 10064000 10426304 10662400 10732960 10952000 11271680 11403770 11603200 11636500 11915776 12266240 12328400 13032880 13328000 13416200 14089600 14504000 14894720 15332800 15410500 15780352 16291100 16576000 16770250 17172736 17523200 17612000 18246032 18618400 19166000 19725440 20128000 20363875 20852608 21465920 21904000 22807540 23206400 23273000 24532480 24656800 26065760 26656000 26832400 28179200 28509425 29008000 29789440 30665600 30821000 32582200 33540500 34345472 35224000 36492064 37236800 38332000 39450880 40256000 40727750 41705216 42931840 43808000 45615080 46546000 49313600 52131520 53312000 53664800 56358400 57018850 58016000 59578880 61331200 61642000 65164400 67081000 70448000 72984128 74473600 76664000 78901760 81455500 83410432 85863680 87616000 91230160 93092000 98627200 104263040 107329600 114037700 116032000 122662400 123284000 130328800 134162000 140896000 142547125 145968256 148947200 153328000 162911000 171727360 182460320 186184000 197254400 208526080 214659200 228075400 246568000 260657600 268324000 281792000 285094250 291936512 297894400 306656000 325822000 364920640 372368000 394508800 417052160 429318400 456150800 493136000 521315200 536648000 570188500 583873024 613312000 651644000 729841280 744736000 858636800 912301600 986272000 1042630400 1073296000 1140377000 1303288000 1459682560 1489472000 1824603200 1972544000 2085260800 2146592000 2280754000 2606576000 2919365120 3649206400 4293184000 4561508000 5213152000 7298412800 9123016000 10426304000 14596825600 18246032000 36492064000 72984128000
• Sum of all divisors σ(n): 230378364216
• Sum of proper divisors (its aliquot sum) s(n): 157394236216
• 72984128000 is an abundant number, because the sum of its proper divisors (157394236216) is greater than itself. Its abundance is 84410108216

Bases of 72984128000

• Binary: 1000011111110001100010110101000000000₂
• Hexadecimal: 0x10FE316A00
• Base-36: XJ0V5KW

Squares and roots of 72984128000

• 72984128000 squared (72984128000²) is 5326682939920384000000
• 72984128000 cubed (72984128000³) is 388763309502565615665152000000000
• The square root of 72984128000 is 270155.7476715977
• The cube root of 72984128000 is 4179.0362772949

Scales and comparisons

• 72,984,128,000 seconds is equal to 2,320 years, 34 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 72,984,128,000 would take you about four thousand, six hundred forty-one 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 72984128000 cubic inches would be around 348.3 feet tall.

Recreational maths with 72984128000

• 72984128000 backwards is 00082148927
• The number of decimal digits it has is: 11
• The sum of 72984128000's digits is 41
• More coming soon!