442106449920

Names of 442106449920

• Cardinal: 442106449920 can be written as Four hundred forty-two billion, one hundred six million, four hundred forty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.4210644992 × 10¹¹

Factors of 442106449920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 345

Divisors of 442106449920

• Number of divisors d(n): 1040
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 61 64 68 72 80 81 85 90 96 102 108 120 122 128 135 136 144 153 160 162 170 180 183 192 204 216 240 244 255 256 257 270 272 288 305 306 320 324 340 360 366 384 405 408 432 459 480 488 510 512 514 540 544 549 576 610 612 640 648 680 720 732 765 768 771 810 816 864 915 918 960 976 1020 1024 1028 1037 1080 1088 1098 1152 1220 1224 1280 1285 1296 1360 1377 1440 1464 1530 1536 1542 1620 1632 1647 1728 1830 1836 1920 1952 2040 2048 2056 2074 2160 2176 2196 2295 2304 2313 2440 2448 2560 2570 2592 2720 2745 2754 2880 2928 3060 3072 3084 3111 3240 3264 3294 3456 3660 3672 3840 3855 3904 4080 4096 4112 4148 4320 4352 4369 4392 4590 4608 4626 4880 4896 4941 5120 5140 5184 5185 5440 5490 5508 5760 5856 6120 6144 6168 6222 6480 6528 6588 6885 6912 6939 7320 7344 7680 7710 7808 8160 8224 8235 8296 8640 8704 8738 8784 9180 9216 9252 9333 9760 9792 9882 10240 10280 10368 10370 10880 10980 11016 11520 11565 11712 12240 12288 12336 12444 12960 13056 13107 13176 13770 13824 13878 14640 14688 15360 15420 15555 15616 15677 16320 16448 16470 16592 17280 17408 17476 17568 18360 18432 18504 18666 19520 19584 19764 20480 20560 20736 20740 20817 21760 21845 21960 22032 23040 23130 23424 24480 24672 24705 24888 25920 26112 26214 26352 27540 27648 27756 27999 29280 29376 30720 30840 31110 31232 31354 32640 32896 32940 33184 34560 34695 34816 34952 35136 36720 36864 37008 37332 39040 39168 39321 39528 41120 41472 41480 41634 43520 43690 43920 44064 46080 46260 46665 46848 47031 48960 49344 49410 49776 51840 52224 52428 52704 55080 55296 55512 55998 58560 58752 61440 61680 62220 62464 62708 65280 65535 65792 65880 66368 69120 69390 69632 69904 70272 73440 74016 74664 78080 78336 78385 78642 79056 82240 82944 82960 83268 83997 87040 87380 87840 88128 92160 92520 93330 93696 94062 97920 98688 98820 99552 103680 104085 104448 104856 105408 110160 110592 111024 111996 117120 117504 117963 123360 124440 124928 125416 130560 131070 131584 131760 132736 138240 138780 139808 139995 140544 141093 146880 148032 149328 156160 156672 156770 157284 158112 164480 165888 165920 166536 167994 174080 174760 175680 176256 184320 185040 186660 187392 188124 195840 196605 197376 197640 199104 207360 208170 208896 209712 210816 220320 222048 223992 234240 235008 235155 235926 246720 248880 249856 250832 261120 262140 263168 263520 265472 266509 276480 277560 279616 279990 281088 282186 293760 296064 298656 312320 313344 313540 314568 316224 328960 331776 331840 333072 335988 348160 349520 351360 352512 353889 370080 373320 374784 376248 391680 393210 394752 395280 398208 414720 416340 419424 419985 421632 423279 440640 444096 447984 468480 470016 470310 471852 493440 497760 501664 522240 524280 526336 527040 530944 533018 552960 555120 559232 559980 562176 564372 587520 589815 592128 597312 624640 626688 627080 629136 632448 657920 663680 666144 671976 699040 702720 705024 705465 707778 740160 746640 749568 752496 783360 786420 789504 790560 796416 799527 829440 832680 838848 839970 843264 846558 881280 888192 895968 936960 940032 940620 943704 986880 995520 1003328 1044480 1048560 1052672 1054080 1061888 1066036 1110240 1118464 1119960 1124352 1128744 1175040 1179630 1184256 1194624 1249280 1254160 1258272 1264896 1269837 1315840 1327360 1332288 1332545 1343952 1398080 1405440 1410048 1410930 1415556 1480320 1493280 1504992 1566720 1572840 1579008 1581120 1592832 1599054 1658880 1665360 1677696 1679940 1686528 1693116 1762560 1769445 1776384 1791936 1873920 1880064 1881240 1887408 1973760 1991040 2006656 2097120 2108160 2116395 2123776 2132072 2220480 2236928 2239920 2248704 2257488 2350080 2359260 2368512 2389248 2398581 2508320 2516544 2529792 2539674 2631680 2654720 2664576 2665090 2687904 2796160 2810880 2820096 2821860 2831112 2960640 2986560 3009984 3133440 3145680 3158016 3162240 3185664 3198108 3330720 3355392 3359880 3373056 3386232 3525120 3538890 3552768 3583872 3747840 3762480 3774816 3947520 3982080 3997635 4013312 4194240 4216320 4232790 4247552 4264144 4440960 4473856 4479840 4514976 4700160 4718520 4737024 4778496 4797162 5016640 5033088 5059584 5079348 5263360 5309440 5329152 5330180 5375808 5592320 5621760 5640192 5643720 5662224 5921280 5973120 6019968 6291360 6324480 6349185 6371328 6396216 6661440 6710784 6719760 6746112 6772464 7050240 7077780 7105536 7167744 7195743 7524960 7549632 7895040 7964160 7995270 8026624 8388480 8432640 8465580 8528288 8881920 8947712 8959680 9029952 9400320 9437040 9474048 9556992 9594324 10033280 10066176 10119168 10158696 10618880 10658304 10660360 10751616 11184640 11243520 11287440 11324448 11842560 11946240 11992905 12039936 12582720 12648960 12698370 12742656 12792432 13322880 13421568 13439520 13544928 14100480 14155560 14211072 14335488 14391486 15049920 15099264 15790080 15928320 15990540 16053248 16776960 16865280 16931160 17056576 17763840 17895424 17919360 18059904 18874080 19113984 19188648 20066560 20132352 20238336 20317392 21237760 21316608 21320720 21503232 21587229 22369280 22574880 22648896 23685120 23892480 23985810 24079872 25165440 25297920 25396740 25584864 26645760 26843136 26879040 27089856 28200960 28311120 28422144 28670976 28782972 30099840 30198528 31856640 31981080 32106496 33553920 33730560 33862320 34113152 35527680 35838720 35978715 36119808 37748160 38227968 38377296 40133120 40264704 40634784 42633216 42641440 43006464 43174458 44738560 45149760 45297792 47370240 47784960 47971620 48159744 50330880 50595840 50793480 51169728 53291520 53686272 53758080 54179712 56622240 57341952 57565944 60199680 60397056 63713280 63962160 64212992 67107840 67724640 68226304 71055360 71677440 71957430 72239616 75496320 76754592 80266240 80529408 81269568 85266432 85282880 86012928 86348916 89477120 90299520 90595584 95569920 95943240 96319488 100661760 101191680 101586960 102339456 106583040 107516160 107936145 108359424 113244480 114683904 115131888 120399360 120794112 127924320 134215680 135449280 136452608 142110720 143354880 143914860 144479232 150992640 153509184 160532480 161058816 162539136 170565760 172025856 172697832 180599040 181191168 191139840 191886480 192638976 201323520 203173920 204678912 213166080 215032320 215872290 216718848 226488960 230263776 240798720 241588224 255848640 268431360 270898560 272905216 286709760 287829720 288958464 301985280 307018368 321064960 325078272 341131520 344051712 345395664 361198080 362382336 383772960 402647040 406347840 409357824 426332160 430064640 431744580 433437696 452977920 460527552 481597440 483176448 511697280 541797120 545810432 573419520 575659440 577916928 603970560 614036736 650156544 682263040 690791328 722396160 724764672 767545920 805294080 812695680 818715648 860129280 863489160 866875392 905955840 921055104 963194880 1023394560 1083594240 1091620864 1151318880 1207941120 1228073472 1300313088 1364526080 1381582656 1444792320 1449529344 1535091840 1625391360 1637431296 1720258560 1726978320 1733750784 1811911680 1842110208 2046789120 2167188480 2302637760 2415882240 2456146944 2600626176 2729052160 2763165312 2889584640 3070183680 3250782720 3274862592 3453956640 3623823360 3684220416 4093578240 4334376960 4605275520 4912293888 5201252352 5458104320 5526330624 6140367360 6501565440 6907913280 7247646720 7368440832 8187156480 8668753920 9210551040 9824587776 11052661248 12280734720 13003130880 13815826560 14736881664 16374312960 18421102080 22105322496 24561469440 26006261760 27631653120 29473763328 36842204160 44210644992 49122938880 55263306240 73684408320 88421289984 110526612480 147368816640 221053224960 442106449920
• Sum of all divisors σ(n): 1712211648048
• Sum of proper divisors (its aliquot sum) s(n): 1270105198128
• 442106449920 is an abundant number, because the sum of its proper divisors (1270105198128) is greater than itself. Its abundance is 827998748208

Bases of 442106449920

• Binary: 110011011101111100110010001000000000000₂
• Hexadecimal: 0x66EF991000
• Base-36: 5N3MRK00

Squares and roots of 442106449920

• 442106449920 squared (442106449920²) is 195458113060865468006400
• 442106449920 cubed (442106449920³) is 86413292473401216943028843839488000
• The square root of 442106449920 is 664910.8586269291
• The cube root of 442106449920 is 7618.0230719985

Scales and comparisons

• 442,106,449,920 seconds is equal to 14,057 years, 32 weeks, 19 hours, 12 minutes.
• To count from 1 to 442,106,449,920 would take you about twenty-eight thousand, one 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 442106449920 cubic inches would be around 634.8 feet tall.

Recreational maths with 442106449920

• 442106449920 backwards is 029944601244
• 442106449920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442106449920's digits is 45
• More coming soon!