20824137169029680

Names of 20824137169029680

• Cardinal: 20824137169029680 can be written as Twenty quadrillion, eight hundred twenty-four trillion, one hundred thirty-seven billion, one hundred sixty-nine million, twenty-nine thousand, six hundred eighty.

Scientific notation

• Scientific notation: 2.082413716902968 × 10¹⁶

Factors of 20824137169029680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 73266

Divisors of 20824137169029680

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 31 34 40 41 62 68 80 82 85 124 136 155 164 170 205 248 272 289 310 328 340 410 496 527 578 620 656 680 697 820 1054 1156 1240 1271 1360 1394 1445 1640 2108 2312 2480 2542 2635 2788 2890 3280 3485 4216 4624 5084 5270 5576 5780 6355 6970 8432 8959 10168 10540 11152 11489 11560 11849 12710 13940 17918 20336 21080 21607 22978 23120 23698 25420 27880 35836 42160 43214 44795 45956 47396 50840 55760 57445 59245 61681 71672 86428 89590 91912 94792 101680 108035 114890 118490 123362 143344 172856 179180 183824 189584 195313 216070 229780 236980 246724 308405 345712 356159 358360 367319 390626 432140 459560 471049 473960 493448 616810 712318 716720 734638 781252 864280 919120 942098 947920 976565 986896 1048577 1233620 1424636 1469276 1562504 1728560 1780795 1836595 1884196 1912111 1953130 2097154 2355245 2467240 2528921 2849272 2938552 3125008 3320321 3561590 3673190 3768392 3824222 3906260 4194308 4710490 4934480 5057842 5242885 5698544 5877104 6054703 6640642 7123180 7346380 7536784 7648444 7812520 8007833 8388616 9420980 9560555 10115684 10485770 12109406 12644605 13281284 14246360 14602519 14692760 15296888 15625040 16015666 16601605 16777232 17825809 18841960 19121110 20231368 20971540 24218812 25289210 26562568 28492720 29205038 29385520 30273515 30593776 32031332 32505887 33203210 35651618 37683920 38242220 40039165 40462736 41943080 42991657 48437624 50578420 53125136 58410076 60547030 64062664 65011774 66406420 71303236 73012595 76484440 78396551 80078330 83886160 85983314 89129045 96875248 101156840 102929951 116820152 121094060 128125328 130023548 132812840 136133161 142606472 146025190 152968880 156793102 160156660 162529435 171966628 178258090 202313680 205859902 214958285 233640304 242188120 248242823 260047096 265625680 272266322 285212944 292050380 313586204 320313320 325058870 343933256 356516180 391982755 411719804 429916570 484376240 496485646 514649755 520094192 544532644 552600079 584100760 627172408 640626640 650117740 680665805 687866512 708653009 713032360 730858169 783965510 823439608 859833140 992971292 1029299510 1089065288 1105200158 1168201520 1241214115 1254344816 1300235480 1332741367 1361331610 1417306018 1426064720 1461716338 1567931020 1646879216 1719666280 1985942584 2058599020 2178130576 2210400316 2482428230 2600470960 2665482734 2722663220 2763000395 2834612036 2923432676 3135862040 3439332560 3543265045 3654290845 3971885168 4117198040 4220127991 4420800632 4964856460 5330965468 5445326440 5526000790 5669224072 5846865352 6271724080 6663706835 7086530090 7308581690 8234396080 8440255982 8841601264 9929712920 10661930936 10890652880 11052001580 11338448144 11693730704 12047101153 13327413670 14173060180 14617163380 16880511964 19859425840 21100639955 21323861872 21968243279 22104003160 22656603239 24094202306 26654827340 28346120360 29054773369 29234326760 33761023928 42201279910 43936486558 44208006320 45313206478 48188404612 53309654680 56692240720 58109546738 58468653520 60235505765 67522047856 84402559820 87872973116 90626412956 96376809224 106619309360 109841216395 113283016195 116219093476 120471011530 145273866845 168805119640 175745946232 181252825912 192753618448 204800719601 219682432790 226566032390 232438186952 240942023060 290547733690 337610239280 351491892464 362505651824 373460135743 409601439202 439364865580 453132064780 464876373904 481884046120 493931147273 581095467380 746920271486 819202878404 878729731160 900697974439 906264129560 963768092240 987862294546 1024003598005 1162190934760 1493840542972 1638405756808 1757459462320 1801395948878 1812528259120 1867300678715 1975724589092 2048007196010 2324381869520 2469655736365 2987681085944 3276811513616 3602791897756 3734601357430 3951449178184 4096014392020 4503489872195 4939311472730 5975362171888 6348822307631 7205583795512 7469202714860 7902898356368 8192028784040 8396829503641 9006979744390 9878622945460 12697644615262 14411167591024 14938405429720 15311865565463 16384057568080 16793659007282 18013959488780 19757245890920 25395289230524 29876810859440 30623731130926 31744111538155 33587318014564 36027918977560 39514491781840 41984147518205 50790578461048 61247462261852 63488223076310 67174636029128 72055837955120 76559327827315 83968295036410 101581156922096 122494924523704 126976446152620 134349272058256 153118655654630 167936590072820 244989849047408 253952892305240 260301714612871 306237311309260 335873180145640 507905784610480 520603429225742 612474622618520 671746360291280 1041206858451484 1224949245237040 1301508573064355 2082413716902968 2603017146128710 4164827433805936 5206034292257420 10412068584514840 20824137169029680
• Sum of all divisors σ(n): 54391253052003840
• Sum of proper divisors (its aliquot sum) s(n): 33567115882974160
• 20824137169029680 is an abundant number, because the sum of its proper divisors (33567115882974160) is greater than itself. Its abundance is 12742978713944480

Bases of 20824137169029680

• Binary: 1001001111110110111000101000010101101101100101000110000₂
• Hexadecimal: 0x49FB7142B6CA30
• Base-36: 5P1JGJR5GKW

Squares and roots of 20824137169029680

• 20824137169029680 squared (20824137169029680²) is 433644688834563455343352720902400
• 20824137169029680 cubed (20824137169029680³) is 9030276482912142716669192895775541770061983232000
• The square root of 20824137169029680 is 144305707.3335274567
• The cube root of 20824137169029680 is 275120.1113619261

Scales and comparisons

• 20,824,137,169,029,680 seconds is equal to 662,143,148 years, 35 weeks, 6 days, 41 minutes, 20 seconds.
• To count from 1 to 20,824,137,169,029,680 would take you about one billion, nine hundred eighty-six million, four hundred twenty-nine thousand, four hundred forty-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 20824137169029680 cubic inches would be around 22926.7 feet tall.

Recreational maths with 20824137169029680

• 20824137169029680 backwards is 08692096173142802
• 20824137169029680 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 20824137169029680's digits is 68
• More coming soon!