46228129792000
46,228,129,792,000 is an even composite number composed of five prime numbers multiplied together.
46228129792000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 46228129792000:
214 × 53 × 13 × 53 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 53 × 181 × 181)See below for interesting mathematical facts about the number 46228129792000 from the Numbermatics database.
Names of 46228129792000
- Cardinal: 46228129792000 can be written as Forty-six trillion, two hundred twenty-eight billion, one hundred twenty-nine million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.6228129792 × 1013
Factors of 46228129792000
Divisors of 46228129792000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 80 100 104 106 125 128 130 160 181 200 208 212 250 256 260 265 320 325 362 400 416 424 500 512 520 530 640 650 689 724 800 832 848 905 1000 1024 1040 1060 1280 1300 1325 1378 1448 1600 1625 1664 1696 1810 2000 2048 2080 2120 2353 2560 2600 2650 2756 2896 3200 3250 3328 3392 3445 3620 4000 4096 4160 4240 4525 4706 5120 5200 5300 5512 5792 6400 6500 6625 6656 6784 6890 7240 8000 8192 8320 8480 9050 9412 9593 10240 10400 10600 11024 11584 11765 12800 13000 13250 13312 13568 13780 14480 16000 16384 16640 16960 17225 18100 18824 19186 20480 20800 21200 22048 22625 23168 23530 25600 26000 26500 26624 27136 27560 28960 32000 32761 33280 33920 34450 36200 37648 38372 40960 41600 42400 44096 45250 46336 47060 47965 51200 52000 53000 53248 54272 55120 57920 58825 64000 65522 66560 67840 68900 72400 75296 76744 81920 83200 84800 86125 88192 90500 92672 94120 95930 102400 104000 106000 106496 108544 110240 115840 117650 124709 128000 131044 133120 135680 137800 144800 150592 153488 163805 166400 169600 172250 176384 181000 185344 188240 191860 204800 208000 212000 212992 217088 220480 231680 235300 239825 249418 256000 262088 266240 271360 275600 289600 294125 301184 306976 327610 332800 339200 344500 352768 362000 370688 376480 383720 409600 416000 424000 425893 434176 440960 463360 470600 479650 498836 512000 524176 532480 542720 551200 579200 588250 602368 613952 623545 655220 665600 678400 689000 705536 724000 741376 752960 767440 819025 832000 848000 851786 868352 881920 926720 941200 959300 997672 1024000 1048352 1064960 1085440 1102400 1158400 1176500 1199125 1204736 1227904 1247090 1310440 1331200 1356800 1378000 1411072 1448000 1482752 1505920 1534880 1638050 1664000 1696000 1703572 1736333 1763840 1853440 1882400 1918600 1995344 2048000 2096704 2129465 2170880 2204800 2316800 2353000 2398250 2409472 2455808 2494180 2620880 2662400 2713600 2756000 2822144 2896000 2965504 3011840 3069760 3117725 3276100 3328000 3392000 3407144 3472666 3527680 3706880 3764800 3837200 3990688 4095125 4193408 4258930 4341760 4409600 4633600 4706000 4796500 4818944 4911616 4988360 5241760 5324800 5427200 5512000 5644288 5792000 6023680 6139520 6235450 6552200 6656000 6784000 6814288 6945332 7055360 7413760 7529600 7674400 7981376 8190250 8386816 8517860 8681665 8819200 9267200 9412000 9593000 9637888 9823232 9976720 10483520 10647325 10854400 11024000 11288576 11584000 12047360 12279040 12470900 13104400 13312000 13568000 13628576 13890664 14110720 14827520 15059200 15348800 15588625 15962752 16380500 16773632 17035720 17363330 17638400 18534400 18824000 19186000 19275776 19646464 19953440 20967040 21294650 21708800 22048000 22572329 23168000 24094720 24558080 24941800 26208800 26624000 27136000 27257152 27781328 28221440 30118400 30697600 31177250 31925504 32761000 33547264 34071440 34726660 35276800 37068800 37648000 38372000 38551552 39292928 39906880 41934080 42589300 43408325 44096000 45144658 46336000 48189440 49116160 49883600 52417600 53236625 54272000 54514304 55562656 56442880 60236800 61395200 62354500 63851008 65522000 67094528 68142880 69453320 70553600 74137600 75296000 76744000 78585856 79813760 83868160 85178600 86816650 88192000 90289316 92672000 96378880 98232320 99767200 104835200 106473250 108544000 109028608 111125312 112861645 120473600 122790400 124709000 127702016 131044000 134189056 136285760 138906640 141107200 150592000 153488000 157171712 159627520 167736320 170357200 173633300 176384000 180578632 185344000 192757760 196464640 199534400 209670400 212946500 217041625 218057216 222250624 225723290 240947200 245580800 249418000 255404032 262088000 268378112 272571520 277813280 282214400 301184000 306976000 319255040 335472640 340714400 347266600 352768000 361157264 370688000 392929280 399068800 419340800 425893000 434083250 436114432 444501248 451446580 481894400 491161600 498836000 510808064 524176000 536756224 545143040 555626560 564308225 602368000 613952000 638510080 670945280 681428800 694533200 705536000 722314528 785858560 798137600 838681600 851786000 868166500 872228864 889002496 902893160 963788800 982323200 997672000 1021616128 1048352000 1090286080 1111253120 1128616450 1204736000 1227904000 1277020160 1341890560 1362857600 1389066400 1411072000 1444629056 1596275200 1677363200 1703572000 1736333000 1744457728 1778004992 1805786320 1964646400 1995344000 2043232256 2096704000 2180572160 2222506240 2257232900 2409472000 2455808000 2554040320 2683781120 2725715200 2778132800 2821541125 2889258112 3192550400 3354726400 3407144000 3472666000 3488915456 3556009984 3611572640 3929292800 3990688000 4193408000 4361144320 4445012480 4514465800 4818944000 4911616000 5108080640 5451430400 5556265600 5643082250 5778516224 6385100800 6709452800 6814288000 6945332000 6977830912 7112019968 7223145280 7981376000 8386816000 8722288640 8890024960 9028931600 9823232000 10216161280 10902860800 11112531200 11286164500 11557032448 12770201600 13418905600 13628576000 13890664000 14224039936 14446290560 15962752000 16773632000 17444577280 17780049920 18057863200 19646464000 21805721600 22225062400 22572329000 23114064896 25540403200 27257152000 27781328000 28448079872 28892581120 31925504000 33547264000 34889154560 35560099840 36115726400 43611443200 44450124800 45144658000 46228129792 51080806400 54514304000 55562656000 57785162240 63851008000 67094528000 71120199680 72231452800 87222886400 88900249600 90289316000 92456259584 109028608000 111125312000 115570324480 127702016000 142240399360 144462905600 174445772800 177800499200 180578632000 184912519168 218057216000 222250624000 231140648960 255404032000 288925811200 355600998400 361157264000 369825038336 436114432000 444501248000 462281297920 577851622400 711201996800 722314528000 872228864000 889002496000 924562595840 1155703244800 1444629056000 1778004992000 1849125191680 2311406489600 2889258112000 3556009984000 4622812979200 5778516224000 9245625958400 11557032448000 23114064896000 46228129792000
- Sum of all divisors σ(n): 127305222788016
- Sum of proper divisors (its aliquot sum) s(n): 81077092996016
- 46228129792000 is an abundant number, because the sum of its proper divisors (81077092996016) is greater than itself. Its abundance is 34848963204016
Bases of 46228129792000
- Binary: 10101000001011010100110100000101000000000000002
- Hexadecimal: 0x2A0B53414000
- Base-36: GDWWQWIKG
Squares and roots of 46228129792000
- 46228129792000 squared (462281297920002) is 2137039984065997963264000000
- 46228129792000 cubed (462281297920003) is 98791361754096565739775839961088000000000
-
The
square root of 46228129792000 is 6799127.1345666129 -
The
cube root of 46228129792000 is 35889.6129435335
Scales and comparisons
How big is 46228129792000?- 46,228,129,792,000 seconds is equal to 1,469,911 years, 27 weeks, 5 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 46,228,129,792,000 would take you about three million, six hundred seventy-four thousand, seven hundred seventy-eight 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 46228129792000 cubic inches would be around 2990.8 feet tall.
Recreational maths with 46228129792000
- 46228129792000 backwards is 00029792182264
- 46228129792000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 46228129792000's digits is 52
- More coming soon!
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