146480988720
146,480,988,720 is an even composite number composed of seven prime numbers multiplied together.
146480988720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 146480988720:
24 × 3 × 5 × 11 × 232 × 53 × 1979
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 23 × 23 × 53 × 1979)See below for interesting mathematical facts about the number 146480988720 from the Numbermatics database.
Names of 146480988720
- Cardinal: 146480988720 can be written as One hundred forty-six billion, four hundred eighty million, nine hundred eighty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.4648098872 × 1011
Factors of 146480988720
Divisors of 146480988720
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 53 55 60 66 69 80 88 92 106 110 115 120 132 138 159 165 176 184 212 220 230 240 253 264 265 276 318 330 345 368 424 440 460 506 528 529 530 552 583 636 660 690 759 795 848 880 920 1012 1058 1060 1104 1166 1219 1265 1272 1320 1380 1518 1587 1590 1749 1840 1979 2024 2116 2120 2332 2438 2530 2544 2640 2645 2760 2915 3036 3174 3180 3498 3657 3795 3958 4048 4232 4240 4664 4876 5060 5290 5520 5819 5830 5937 6072 6095 6348 6360 6996 7314 7590 7916 7935 8464 8745 9328 9752 9895 10120 10580 11638 11660 11874 12144 12190 12696 12720 13409 13992 14628 15180 15832 15870 17457 17490 18285 19504 19790 20240 21160 21769 23276 23320 23748 24380 25392 26818 27984 28037 29095 29256 29685 30360 31664 31740 34914 34980 36570 39580 40227 42320 43538 45517 46552 46640 47496 48760 53636 56074 58190 58512 59370 60720 63480 65307 67045 69828 69960 73140 79160 80454 84111 87076 87285 91034 93104 94992 97520 104887 107272 108845 112148 116380 118740 126960 130614 134090 136551 139656 139920 140185 146280 158320 160908 168222 174152 174570 182068 201135 209774 214544 217690 224296 227585 232760 237480 261228 268180 273102 279312 280370 292560 308407 314661 321816 326535 336444 348304 349140 364136 402270 419548 420555 435380 448592 455170 465520 474960 500687 522456 524435 536360 546204 560740 616814 629322 643632 653070 672888 682755 698280 728272 804540 839096 841110 870760 910340 925221 1001374 1044912 1046891 1048870 1072720 1092408 1121480 1153757 1233628 1258644 1306140 1345776 1365510 1396560 1502061 1542035 1573305 1609080 1678192 1682220 1741520 1820680 1850442 2002748 2093782 2097740 2184816 2242960 2307514 2412401 2467256 2503435 2517288 2612280 2731020 3004122 3084070 3140673 3146610 3218160 3364440 3461271 3641360 3700884 4005496 4187564 4195480 4615028 4626105 4824802 4934512 5006870 5034576 5224560 5234455 5462040 5768785 6008244 6168140 6281346 6293220 6728880 6922542 7237203 7401768 7510305 8010992 8375128 8390960 9230056 9252210 9649604 10013740 10468910 10924080 11515801 11537570 12016488 12062005 12336280 12562692 12586440 13845084 14474406 14803536 15020610 15703365 16750256 17306355 18460112 18504420 19299208 20027480 20937820 23031602 23075140 24032976 24124010 24672560 25125384 25172880 26536411 27690168 28948812 30041220 31406730 34547403 34612710 36186015 37008840 38598416 40054960 41875640 46063204 46150280 48248020 50250768 53072822 55380336 55485223 57579005 57897624 60082440 62813460 69094806 69225420 72372030 74017680 79609233 83751280 92126408 92300560 96496040 106145644 110970446 115158010 115795248 120164880 125626920 132682055 138189612 138450840 144744060 159218466 166455669 172737015 184252816 192992080 212291288 221940892 230316020 251253840 265364110 276379224 276901680 277426115 289488120 318436932 332911338 345474030 398046165 424582576 443881784 460632040 530728220 552758448 554852230 578976240 610337453 636873864 665822676 690948060 796092330 832278345 887763568 921264080 1061456440 1109704460 1220674906 1273747728 1331645352 1381896120 1592184660 1664556690 1831012359 2122912880 2219408920 2441349812 2663290704 2763792240 3051687265 3184369320 3329113380 3662024718 4438817840 4882699624 6103374530 6368738640 6658226760 7324049436 9155061795 9765399248 12206749060 13316453520 14648098872 18310123590 24413498120 29296197744 36620247180 48826996240 73240494360 146480988720
- Sum of all divisors σ(n): 527883713280
- Sum of proper divisors (its aliquot sum) s(n): 381402724560
- 146480988720 is an abundant number, because the sum of its proper divisors (381402724560) is greater than itself. Its abundance is 234921735840
Bases of 146480988720
- Binary: 100010000110101111001010000010001100002
- Hexadecimal: 0x221AF28230
- Base-36: 1VAIZY9C
Squares and roots of 146480988720
- 146480988720 squared (1464809887202) is 21456680056388767238400
- 146480988720 cubed (1464809887203) is 3142995709308531977782775950848000
-
The
square root of 146480988720 is 382728.3484666377 -
The
cube root of 146480988720 is 5271.4135377459
Scales and comparisons
How big is 146480988720?- 146,480,988,720 seconds is equal to 4,657 years, 33 weeks, 2 days, 19 hours, 32 minutes.
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To count from 1 to 146,480,988,720 would take you about nine thousand, three hundred fifteen 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 146480988720 cubic inches would be around 439.3 feet tall.
Recreational maths with 146480988720
- 146480988720 backwards is 027889084641
- The number of decimal digits it has is: 12
- The sum of 146480988720's digits is 57
- More coming soon!
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