130147920
130,147,920 is an even composite number composed of six prime numbers multiplied together.
130147920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 130147920:
24 × 32 × 5 × 73 × 17 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 17 × 31)See below for interesting mathematical facts about the number 130147920 from the Numbermatics database.
Names of 130147920
- Cardinal: 130147920 can be written as One hundred thirty million, one hundred forty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3014792 × 108
Factors of 130147920
Divisors of 130147920
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 31 34 35 36 40 42 45 48 49 51 56 60 62 63 68 70 72 80 84 85 90 93 98 102 105 112 119 120 124 126 136 140 144 147 153 155 168 170 180 186 196 204 210 217 238 240 245 248 252 255 272 279 280 294 306 310 315 336 340 343 357 360 372 392 408 420 434 441 465 476 490 496 504 510 527 558 560 588 595 612 620 630 651 680 686 714 720 735 744 765 784 816 833 840 868 882 930 952 980 1008 1020 1029 1054 1071 1085 1116 1176 1190 1224 1240 1260 1302 1360 1372 1395 1428 1470 1488 1519 1530 1581 1666 1680 1715 1736 1764 1785 1860 1904 1953 1960 2040 2058 2108 2142 2170 2205 2232 2352 2380 2448 2480 2499 2520 2604 2635 2744 2790 2856 2940 3038 3060 3087 3162 3255 3332 3430 3472 3528 3570 3689 3720 3906 3920 4080 4116 4165 4216 4284 4340 4410 4464 4557 4743 4760 4998 5040 5145 5208 5270 5355 5488 5580 5712 5831 5880 6076 6120 6174 6324 6510 6664 6860 7056 7140 7378 7440 7497 7595 7812 7905 8232 8330 8432 8568 8680 8820 9114 9486 9520 9765 9996 10290 10416 10540 10633 10710 11067 11160 11662 11760 12152 12240 12348 12495 12648 13020 13328 13671 13720 14280 14756 14994 15190 15435 15624 15810 16464 16660 17136 17360 17493 17640 18228 18445 18972 19530 19992 20580 21080 21266 21420 22134 22320 22785 23324 23715 24304 24696 24990 25296 25823 26040 27342 27440 28560 29155 29512 29988 30380 30870 31248 31620 31899 33201 33320 34986 35280 36456 36890 37485 37944 39060 39984 41160 42160 42532 42840 44268 45570 46648 47430 49392 49980 51646 52080 52479 53165 54684 55335 58310 59024 59976 60760 61740 63240 63798 66402 66640 68355 69972 72912 73780 74970 75888 77469 78120 82320 85064 85680 87465 88536 91140 93296 94860 95697 99960 103292 104958 106330 109368 110670 116620 119952 121520 123480 126480 127596 129115 132804 136710 139944 147560 149940 154938 156240 159495 166005 170128 174930 177072 180761 182280 189720 191394 199920 206584 209916 212660 218736 221340 232407 233240 246960 255192 258230 262395 265608 273420 279888 295120 299880 309876 318990 332010 349860 361522 364560 379440 382788 387345 413168 419832 425320 442680 464814 466480 478485 510384 516460 524790 531216 542283 546840 599760 619752 637980 664020 699720 723044 765576 774690 839664 850640 885360 903805 929628 956970 1032920 1049580 1084566 1093680 1162035 1239504 1275960 1328040 1399440 1446088 1531152 1549380 1626849 1807610 1859256 1913940 2065840 2099160 2169132 2324070 2551920 2656080 2711415 2892176 3098760 3253698 3615220 3718512 3827880 4198320 4338264 4648140 5422830 6197520 6507396 7230440 7655760 8134245 8676528 9296280 10845660 13014792 14460880 16268490 18592560 21691320 26029584 32536980 43382640 65073960 130147920
- Sum of all divisors σ(n): 557107200
- Sum of proper divisors (its aliquot sum) s(n): 426959280
- 130147920 is an abundant number, because the sum of its proper divisors (426959280) is greater than itself. Its abundance is 296811360
Bases of 130147920
- Binary: 1111100000111100110010100002
- Hexadecimal: 0x7C1E650
- Base-36: 25HIS0
Squares and roots of 130147920
- 130147920 squared (1301479202) is 16938481080326400
- 130147920 cubed (1301479203) is 2204508080563833881088000
-
The
square root of 130147920 is 11408.2391279285 -
The
cube root of 130147920 is 506.7717656707
Scales and comparisons
How big is 130147920?- 130,147,920 seconds is equal to 4 years, 7 weeks, 1 day, 8 hours, 12 minutes.
-
To count from 1 to 130,147,920 would take you about six 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 130147920 cubic inches would be around 42.2 feet tall.
Recreational maths with 130147920
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