442140937920

Names of 442140937920

• Cardinal: 442140937920 can be written as Four hundred forty-two billion, one hundred forty million, nine hundred thirty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.4214093792 × 10¹¹

Factors of 442140937920

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 465

Divisors of 442140937920

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 23 24 30 32 33 36 38 40 44 45 46 48 55 57 60 64 66 69 72 76 80 88 90 92 95 96 99 109 110 114 115 120 132 138 144 152 160 165 171 176 180 184 190 192 198 207 209 218 220 228 230 240 253 264 276 285 288 293 304 320 327 330 342 345 352 360 368 380 396 414 418 436 437 440 456 460 480 495 506 528 545 552 570 576 586 608 627 654 660 684 690 704 720 736 759 760 792 828 836 855 872 874 879 880 912 920 960 981 990 1012 1035 1045 1056 1090 1104 1140 1172 1199 1216 1254 1265 1308 1311 1320 1368 1380 1440 1465 1472 1518 1520 1584 1635 1656 1672 1710 1744 1748 1758 1760 1824 1840 1881 1962 1980 2024 2070 2071 2090 2112 2180 2185 2208 2277 2280 2344 2398 2507 2508 2530 2616 2622 2637 2640 2736 2760 2880 2930 3036 3040 3135 3168 3223 3270 3312 3344 3420 3488 3496 3516 3520 3597 3648 3680 3762 3795 3924 3933 3960 4048 4140 4142 4180 4360 4370 4395 4416 4554 4560 4688 4796 4807 4905 5014 5016 5060 5232 5244 5274 5280 5472 5520 5567 5860 5995 6072 6080 6213 6270 6336 6446 6540 6555 6624 6688 6739 6840 6976 6992 7032 7194 7360 7521 7524 7590 7848 7866 7920 8096 8280 8284 8360 8720 8740 8790 9108 9120 9376 9405 9592 9614 9669 9810 10028 10032 10120 10355 10464 10488 10548 10560 10791 10944 11040 11134 11385 11720 11990 12144 12426 12535 12540 12892 13080 13110 13185 13248 13376 13478 13680 13984 14064 14388 14421 15042 15048 15180 15696 15732 15840 16115 16192 16560 16568 16701 16720 17440 17480 17580 17985 18216 18240 18639 18752 18810 19184 19228 19338 19620 19665 20056 20064 20217 20240 20710 20928 20976 21096 21582 22080 22268 22563 22770 22781 23440 23980 24035 24288 24852 25070 25080 25784 26160 26220 26370 26956 27360 27577 27835 27968 28128 28776 28842 29007 30084 30096 30360 31065 31392 31464 31680 31937 32230 33120 33136 33402 33440 33695 34880 34960 35160 35970 36432 37278 37605 37620 38368 38456 38676 39240 39330 40112 40128 40434 40480 41420 41952 42192 43164 43263 44536 45126 45540 45562 46880 47633 47960 48070 48345 48576 49704 50103 50140 50160 51568 52320 52440 52740 53912 53955 54720 55154 55670 56256 57552 57684 58014 60168 60192 60651 60720 61237 62130 62784 62928 63874 64460 66240 66272 66804 66880 67390 68343 69920 70320 71940 72105 72864 74129 74556 75210 75240 76736 76912 77352 78480 78660 80224 80868 80960 82731 82840 83505 83904 84384 86328 86526 89072 90252 91080 91124 93195 93760 95266 95811 95920 96140 96690 99408 100206 100280 100320 101085 103136 104640 104880 105480 107824 107910 110308 111340 112815 113905 115104 115368 116028 120336 120384 121302 121440 122474 124260 125856 127748 128041 128920 132544 133608 134780 136686 137885 139840 140640 142899 143880 144210 145035 145728 148258 149112 150420 150480 153824 154704 156960 157320 159685 160448 161736 165462 165680 167010 168768 172656 173052 178144 180504 182160 182248 183711 186390 190532 191622 191840 192280 193380 198816 200412 200560 200640 202170 205029 206272 209760 210960 215648 215820 216315 220616 222387 222680 225630 227810 230208 230736 232056 238165 240672 242604 242880 244948 248193 248520 250515 251712 255496 256082 257840 267216 269560 273372 275770 281280 285798 287433 287760 288420 290070 296516 298224 300840 300960 303255 306185 307648 309408 313920 314640 319370 323472 330924 331360 334020 341715 345312 346104 351307 356288 361008 364320 364496 367422 370645 372780 381064 383244 383680 384123 384560 386760 397632 400824 401120 404340 410058 413655 419520 421920 428697 431296 431640 432630 441232 444774 445360 451260 455620 461472 464112 476330 479055 481344 485208 489896 496386 497040 501030 510992 512164 515680 523963 534432 539120 546744 551133 551540 571596 574866 575520 576840 580140 593032 596448 601680 601920 606510 606803 612370 618816 629280 638740 640205 646944 661848 662720 667161 668040 683430 690624 692208 702614 714495 722016 728640 728992 734551 734844 741290 745560 762128 766488 768246 769120 773520 801648 802240 808680 820116 827310 843840 857394 863280 865260 882464 889548 890720 902520 911240 918555 922944 928224 952660 958110 970416 979792 992772 994080 1002060 1021984 1024328 1025145 1031360 1047926 1053921 1068864 1078240 1093488 1102266 1103080 1111935 1143192 1149732 1151040 1152369 1153680 1160280 1186064 1192896 1203360 1213020 1213606 1224740 1240965 1258560 1277480 1280410 1293888 1323696 1334322 1336080 1366860 1384416 1405228 1408451 1428990 1437165 1444032 1457984 1469102 1469688 1482580 1491120 1524256 1532976 1536492 1538240 1547040 1571889 1603296 1617360 1640232 1654620 1714788 1726560 1730520 1756535 1764928 1779096 1781440 1805040 1820409 1822480 1837110 1856448 1905320 1916220 1920615 1940832 1959584 1985544 1988160 2004120 2043968 2048656 2050290 2095852 2107842 2143485 2156480 2186976 2203653 2204532 2206160 2223870 2286384 2299464 2304738 2307360 2320560 2372128 2406720 2426040 2427212 2449480 2481930 2554960 2560820 2619815 2647392 2668644 2672160 2733720 2755665 2768832 2810456 2816902 2857980 2874330 2938204 2939376 2965160 2982240 3034015 3048512 3065952 3072984 3094080 3143778 3161763 3206592 3234720 3280464 3309240 3335805 3429576 3453120 3461040 3513070 3558192 3610080 3640818 3644960 3672755 3674220 3810640 3832440 3841230 3881664 3919168 3971088 4008240 4097312 4100580 4191704 4215684 4225353 4286970 4373952 4407306 4409064 4412320 4447740 4572768 4598928 4609476 4614720 4641120 4715667 4744256 4852080 4854424 4898960 4963860 5109920 5121640 5239630 5269605 5294784 5337288 5344320 5461227 5467440 5511330 5620912 5633804 5715960 5748660 5761845 5876408 5878752 5930320 5964480 6068030 6131904 6145968 6287556 6323526 6469440 6560928 6610959 6618480 6671610 6674833 6859152 6922080 7026140 7042255 7116384 7220160 7281636 7289920 7345510 7348440 7621280 7664880 7682460 7859445 7942176 8016480 8080061 8194624 8201160 8383408 8431368 8450706 8573940 8814612 8818128 8824640 8895480 9102045 9145536 9197856 9218952 9282240 9431334 9704160 9708848 9797920 9927720 10219840 10243280 10479260 10539210 10674576 10922454 10934880 11018265 11022660 11241824 11267608 11431920 11497320 11523690 11752816 11757504 11860640 12136060 12291936 12575112 12647052 12676059 13121856 13221918 13236960 13343220 13349666 13718304 13844160 13956469 14052280 14084510 14232768 14563272 14691020 14696880 15242560 15329760 15364920 15718890 15808815 15884352 16032960 16160122 16402320 16766816 16862736 16901412 17147880 17629224 17636256 17790960 18204090 18395712 18437904 18862668 19408320 19417696 19595840 19855440 20024499 20486560 20958520 21078420 21126765 21349152 21844908 21869760 22036530 22045320 22483648 22535216 22863840 22994640 23047380 23505632 23578335 23721280 24240183 24272120 24583872 25150224 25294104 25352118 26443836 26473920 26686440 26699332 27306135 27436608 27912938 28104560 28169020 29126544 29382040 29393760 30659520 30729840 31437780 31617630 32320244 32804640 33054795 33374165 33533632 33725472 33802824 34295760 35258448 35272512 35581920 36408180 36875808 37725336 38835392 39710880 40048998 40400305 40973120 41869407 41917040 42156840 42253530 42698304 43689816 44073060 44090640 45070432 45727680 45989280 46094760 47011264 47156670 48480366 48544240 50300448 50588208 50704236 52887672 53372880 53398664 54612270 55825876 56209120 56338040 58253088 58764080 58787520 60073497 61459680 62875560 63235260 63380295 64640488 65609280 66109590 66748330 67450944 67605648 68591520 69782345 70516896 71163840 72720549 72816360 73751616 75450672 79421760 80097996 80800610 83738814 83834080 84313680 84507060 87379632 88146120 88181280 90140864 91978560 92189520 94313340 96960732 97088480 100122495 100600896 101176416 101408472 105775344 106745760 106797328 109224540 111651752 112418240 112676080 116506176 117528160 120146994 121200915 122919360 125608221 125751120 126470520 126760590 129280976 132219180 133496660 135211296 137183040 139564690 141033792 145441098 145632720 150901344 153521159 160195992 161601220 167477628 167668160 168627360 169014120 174759264 176292240 176362560 184379040 188626680 193921464 194176960 200244990 202352832 202816944 209347035 211550688 213491520 213594656 218449080 223303504 225352160 235056320 240293988 242401830 251216442 251502240 252941040 253521180 258561952 264438360 266993320 270422592 279129380 290882196 291265440 300367485 301802688 307042318 320391984 323202440 334955256 337254720 338028240 349518528 352584480 363602745 368758080 377253360 387842928 400489980 405633888 418694070 423101376 427189312 436898160 446607008 450704320 460563477 480587976 484803660 502432884 503004480 505882080 507042360 517123904 528876720 533986640 558258760 581764392 582530880 600734970 614084636 628041105 640783968 646404880 669910512 676056480 705168960 727205490 754506720 767605795 775685856 800979960 811267776 837388140 873796320 893214016 921126954 961175952 969607320 1004865768 1011764160 1014084720 1057753440 1067973280 1116517520 1163528784 1201469940 1228169272 1256082210 1281567936 1292809760 1339821024 1352112960 1381690431 1454410980 1509013440 1535211590 1551371712 1601959920 1674776280 1747592640 1842253908 1922351904 1939214640 2009731536 2028169440 2115506880 2135946560 2233035040 2302817385 2327057568 2402939880 2456338544 2512164420 2585619520 2679642048 2763380862 2908821960 3070423180 3203919840 3349552560 3684507816 3844703808 3878429280 4019463072 4056338880 4466070080 4605634770 4654115136 4805879760 4912677088 5024328840 5526761724 5817643920 6140846360 6407839680 6699105120 6908452155 7369015632 7756858560 8038926144 9211269540 9611759520 9825354176 10048657680 11053523448 11635287840 12281692720 13398210240 13816904310 14738031264 18422539080 19223519040 20097315360 22107046896 23270575680 24563385440 27633808620 29476062528 36845078160 40194630720 44214093792 49126770880 55267617240 73690156320 88428187584 110535234480 147380312640 221070468960 442140937920
• Sum of all divisors σ(n): 1845273830400
• Sum of proper divisors (its aliquot sum) s(n): 1403132892480
• 442140937920 is an abundant number, because the sum of its proper divisors (1403132892480) is greater than itself. Its abundance is 960991954560

Bases of 442140937920

• Binary: 110011011110001101001110100111011000000₂
• Hexadecimal: 0x66F1A74EC0
• Base-36: 5N47AR40

Squares and roots of 442140937920

• 442140937920 squared (442140937920²) is 195488608984777293926400
• 442140937920 cubed (442140937920³) is 86433516929205571738938015449088000
• The square root of 442140937920 is 664936.7924246635
• The cube root of 442140937920 is 7618.2211566819

Scales and comparisons

• 442,140,937,920 seconds is equal to 14,058 years, 37 weeks, 23 hours, 12 minutes.
• To count from 1 to 442,140,937,920 would take you about twenty-eight thousand, one hundred seventeen 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 442140937920 cubic inches would be around 634.9 feet tall.

Recreational maths with 442140937920

• 442140937920 backwards is 029739041244
• 442140937920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442140937920's digits is 45
• More coming soon!