480123072

Names of 480123072

• Cardinal: 480123072 can be written as Four hundred eighty million, one hundred twenty-three thousand and seventy-two.

Scientific notation

• Scientific notation: 4.80123072 × 10⁸

Factors of 480123072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 125

Divisors of 480123072

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 29 32 33 36 39 44 48 52 54 58 64 66 67 72 78 87 88 96 99 104 108 116 117 132 134 143 144 156 174 176 192 198 201 208 216 232 234 261 264 268 286 288 297 312 319 348 351 352 377 396 402 416 429 432 464 468 522 528 536 572 576 594 603 624 638 696 702 704 737 754 783 792 804 832 858 864 871 928 936 957 1044 1056 1072 1131 1144 1188 1206 1248 1276 1287 1392 1404 1474 1508 1566 1584 1608 1716 1728 1742 1809 1856 1872 1914 1943 2088 2112 2144 2211 2262 2288 2376 2412 2496 2552 2574 2613 2784 2808 2871 2948 3016 3132 3168 3216 3393 3432 3484 3618 3744 3828 3861 3886 4147 4176 4288 4422 4524 4576 4752 4824 5104 5148 5226 5568 5616 5742 5829 5896 6032 6264 6336 6432 6633 6786 6864 6968 7236 7488 7656 7722 7772 7839 8294 8352 8613 8844 9048 9152 9504 9581 9648 10179 10208 10296 10452 11232 11484 11658 11792 12064 12441 12528 12864 13266 13572 13728 13936 14472 15312 15444 15544 15678 16588 16704 17226 17487 17688 18096 19008 19162 19296 19899 20358 20416 20592 20904 21373 22464 22968 23316 23517 23584 24128 24882 25056 25259 26532 27144 27456 27872 28743 28944 30624 30888 31088 31356 33176 34452 34974 35376 36192 37323 38324 38592 39798 40716 41184 41808 42746 45936 46632 47034 47168 49764 50112 50518 52461 53064 54288 55744 57486 57888 61248 61776 62176 62712 64119 66352 68904 69948 70752 72384 74646 75777 76648 79596 81432 82368 83616 85492 86229 91872 93264 94068 99528 101036 104922 106128 108576 111969 114972 115776 123552 124352 125424 128238 132704 137808 139896 141504 149292 151554 153296 159192 162864 167232 170984 172458 183744 186528 188136 192357 199056 202072 209844 212256 217152 223938 227331 229944 247104 250848 256476 258687 265408 275616 277849 279792 298584 303108 306592 318384 325728 341968 344916 373056 376272 384714 398112 404144 419688 424512 447876 454662 459888 501696 512952 517374 551232 555698 559584 577071 597168 606216 613184 636768 651456 681993 683936 689832 752544 769428 796224 808288 833547 839376 895752 909324 919776 1025904 1034748 1111396 1119168 1154142 1194336 1212432 1273536 1363986 1367872 1379664 1505088 1538856 1616576 1667094 1678752 1791504 1818648 1839552 2051808 2069496 2222792 2308284 2388672 2424864 2500641 2727972 2759328 3077712 3334188 3357504 3583008 3637296 4103616 4138992 4445584 4616568 4849728 5001282 5455944 5518656 6155424 6668376 7166016 7274592 7501923 8277984 8891168 9233136 10002564 10911888 12310848 13336752 14549184 15003846 16555968 17782336 18466272 20005128 21823776 26673504 30007692 36932544 40010256 43647552 53347008 60015384 80020512 120030768 160041024 240061536 480123072
• Sum of all divisors σ(n): 1741017600
• Sum of proper divisors (its aliquot sum) s(n): 1260894528
• 480123072 is an abundant number, because the sum of its proper divisors (1260894528) is greater than itself. Its abundance is 780771456

Bases of 480123072

• Binary: 11100100111100001100011000000₂
• Hexadecimal: 0x1C9E18C0
• Base-36: 7XUPC0

Squares and roots of 480123072

• 480123072 squared (480123072²) is 230518164266717184
• 480123072 cubed (480123072³) is 110677089179536881737269248
• The square root of 480123072 is 21911.7108414657
• The cube root of 480123072 is 783.0404406529

Scales and comparisons

• 480,123,072 seconds is equal to 15 years, 13 weeks, 5 days, 23 hours, 31 minutes, 12 seconds.
• To count from 1 to 480,123,072 would take you about twenty-two 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 480123072 cubic inches would be around 65.3 feet tall.

Recreational maths with 480123072

• 480123072 backwards is 270321084
• 480123072 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 480123072's digits is 27
• More coming soon!