448014304320

Names of 448014304320

• Cardinal: 448014304320 can be written as Four hundred forty-eight billion, fourteen million, three hundred four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.4801430432 × 10¹¹

Factors of 448014304320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1888

Divisors of 448014304320

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 103 110 120 132 160 165 176 192 206 220 240 264 277 309 320 330 352 412 440 480 515 528 554 618 660 704 824 831 880 960 1030 1056 1108 1133 1236 1320 1385 1487 1545 1648 1662 1760 2060 2112 2216 2266 2472 2640 2770 2974 3047 3090 3296 3324 3399 3520 4120 4155 4432 4461 4532 4944 5280 5540 5665 5948 6094 6180 6592 6648 6798 7435 8240 8310 8864 8922 9064 9141 9888 10560 11080 11330 11896 12188 12360 13296 13596 14870 15235 16357 16480 16620 16995 17728 17844 18128 18282 19776 22160 22305 22660 23792 24376 24720 26592 27192 28531 29740 30470 32714 32960 33240 33990 35688 36256 36564 44320 44610 45320 45705 47584 48752 49071 49440 53184 54384 57062 59480 60940 65428 66480 67980 71376 72512 73128 81785 85593 88640 89220 90640 91410 95168 97504 98142 98880 108768 114124 118960 121880 130856 132960 135960 142655 142752 146256 153161 163570 171186 178440 181280 182820 195008 196284 217536 228248 237920 243760 245355 261712 265920 271920 285310 285504 292512 306322 313841 327140 342372 356880 362560 365640 392568 411899 427965 456496 459483 475840 487520 490710 523424 543840 570620 585024 612644 627682 654280 684744 713760 731280 765805 785136 823798 855930 912992 918966 941523 975040 981420 1046848 1087680 1141240 1225288 1235697 1255364 1308560 1369488 1427520 1462560 1531610 1569205 1570272 1647596 1684771 1711860 1825984 1837932 1883046 1962840 2059495 2282480 2297415 2450576 2471394 2510728 2617120 2738976 2925120 3063220 3138410 3140544 3295192 3369542 3423720 3675864 3766092 3925680 4118990 4530889 4564960 4594830 4707615 4901152 4942788 5021456 5054313 5234240 5477952 6126440 6178485 6276820 6590384 6739084 6847440 7351728 7532184 7851360 8237980 8423855 9061778 9129920 9189660 9415230 9802304 9885576 10042912 10108626 12252880 12356970 12553640 13180768 13478168 13592667 13694880 14703456 15064368 15702720 16475960 16847710 18123556 18379320 18830460 19771152 20085824 20217252 22654445 24505760 24713940 25107280 25271565 26361536 26956336 27185334 27389760 29406912 30128736 32951920 33695420 36247112 36758640 37660920 39542304 40434504 42425597 45308890 49011520 49427880 50214560 50543130 53912672 54370668 60257472 65903840 67390840 67963335 72494224 73517280 75321840 79084608 80869008 84851194 90617780 98855760 100429120 101086260 107825344 108741336 127276791 131807680 134781680 135926670 144988448 147034560 150643680 161738016 169702388 181235560 197711520 202172520 212127985 217482672 254553582 269563360 271853340 289976896 301287360 323476032 339404776 362471120 395423040 404345040 424255970 434965344 466681567 509107164 539126720 543706680 636383955 678809552 724942240 808690080 848511940 869930688 933363134 1018214328 1087413360 1272767910 1357619104 1400044701 1449884480 1617380160 1697023880 1866726268 2036428656 2174826720 2333407835 2545535820 2715238208 2800089402 3394047760 3733452536 4072857312 4349653440 4666815670 5091071640 5600178804 6788095520 7000223505 7466905072 8145714624 9333631340 10182143280 11200357608 13576191040 14000447010 14933810144 18667262680 20364286560 22400715216 28000894020 29867620288 37334525360 40728573120 44801430432 56001788040 74669050720 89602860864 112003576080 149338101440 224007152160 448014304320
• Sum of all divisors σ(n): 1573538144256
• Sum of proper divisors (its aliquot sum) s(n): 1125523839936
• 448014304320 is an abundant number, because the sum of its proper divisors (1125523839936) is greater than itself. Its abundance is 677509535616

Bases of 448014304320

• Binary: 110100001001111101110111100010001000000₂
• Hexadecimal: 0x684FBBC440
• Base-36: 5PTC5DMO

Squares and roots of 448014304320

• 448014304320 squared (448014304320²) is 200716816875333570662400
• 448014304320 cubed (448014304320³) is 89924005077727405828256697581568000
• The square root of 448014304320 is 669338.7067247791
• The cube root of 448014304320 is 7651.8061682579

Scales and comparisons

• 448,014,304,320 seconds is equal to 14,245 years, 24 weeks, 2 days, 17 hours, 52 minutes.
• To count from 1 to 448,014,304,320 would take you about twenty-eight thousand, four hundred ninety 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 448014304320 cubic inches would be around 637.7 feet tall.

Recreational maths with 448014304320

• 448014304320 backwards is 023403410844
• 448014304320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 448014304320's digits is 33
• More coming soon!