42742233669120

Names of 42742233669120

• Cardinal: 42742233669120 can be written as Forty-two trillion, seven hundred forty-two billion, two hundred thirty-three million, six hundred sixty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.274223366912 × 10¹³

Factors of 42742233669120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10274

Divisors of 42742233669120

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 53 60 64 68 80 85 96 102 106 120 128 136 159 160 170 192 204 212 240 255 256 265 272 318 320 340 384 408 424 480 510 512 530 544 636 640 647 680 768 795 816 848 901 960 1020 1060 1088 1272 1280 1294 1360 1536 1590 1632 1696 1802 1920 1941 2040 2120 2176 2544 2560 2588 2703 2720 3180 3235 3264 3392 3604 3840 3882 4080 4240 4352 4505 5088 5176 5406 5440 6360 6470 6528 6784 7208 7680 7764 8160 8480 8704 9010 9547 9705 10176 10352 10812 10880 10999 12720 12940 13056 13515 13568 14416 15528 16320 16960 18020 19094 19410 20352 20704 21624 21760 21998 25440 25880 26112 27030 27136 28641 28832 31056 32640 32997 33920 34291 36040 38188 38820 40704 41408 43248 43520 43996 47735 50880 51760 54060 54995 57282 57664 62112 65280 65994 67840 68582 72080 76376 77640 81408 82816 86496 87992 95470 101760 102873 103520 108120 109990 114564 115328 124224 130560 131988 135680 137164 143205 144160 152752 155280 162299 164985 165632 171455 172992 175984 190940 203520 205746 207040 216240 219980 229128 230656 248448 263976 274328 286410 288320 305504 310560 324598 329970 331264 342910 345984 351968 381880 407040 411492 414080 432480 439960 458256 461312 486897 496896 505991 514365 527952 548656 572820 576640 582947 611008 621120 649196 659940 685820 691968 703936 763760 811495 822984 828160 864960 879920 916512 973794 993792 1011982 1028730 1055904 1097312 1145640 1153280 1165894 1222016 1242240 1298392 1319880 1371640 1383936 1407872 1517973 1527520 1622990 1645968 1656320 1729920 1748841 1759840 1833024 1947588 2023964 2057460 2111808 2194624 2291280 2306560 2331788 2434485 2444032 2484480 2529955 2596784 2639760 2743280 2815744 2914735 3035946 3055040 3245980 3291936 3459840 3497682 3519680 3666048 3895176 4047928 4114920 4223616 4389248 4582560 4663576 4868970 4888064 4968960 5059910 5193568 5279520 5486560 5631488 5829470 6071892 6110080 6176909 6491960 6583872 6919680 6995364 7039360 7332096 7589865 7790352 8095856 8229840 8447232 8601847 8744205 8778496 9165120 9327152 9737940 10119820 10387136 10559040 10973120 11658940 12143784 12220160 12353818 12983920 13167744 13990728 14078720 14664192 15179730 15580704 16191712 16459680 16894464 17203694 17488410 17556992 18330240 18530727 18654304 19475880 20239640 20774272 21118080 21946240 23317880 24287568 24440320 24707636 25805541 25967840 26335488 27981456 28157440 30359460 30884545 31161408 32383424 32919360 34407388 34976820 36660480 37061454 37308608 38951760 40479280 41548544 42236160 43009235 43892480 46635760 48575136 49415272 51611082 51935680 52670976 55962912 60718920 61769090 62322816 64766848 65838720 68814776 69953640 73320960 74122908 74617216 77903520 80958560 83097088 84472320 86018470 87784960 92653635 93271520 97150272 98830544 103222164 103871360 105007453 111925824 121437840 123538180 124645632 129027705 129533696 131677440 137629552 139907280 148245816 149234432 155807040 161917120 172036940 185307270 186543040 194300544 197661088 206444328 207742720 210014906 223851648 242875680 247076360 249291264 258055410 259067392 263354880 275259104 279814560 296491632 298468864 311614080 315022359 323834240 327376177 344073880 370614540 373086080 388601088 395322176 412888656 415485440 420029812 447703296 485751360 494152720 516110820 525037265 550518208 559629120 592983264 623228160 630044718 647668480 654752354 688147760 741229080 746172160 777202176 790644352 825777312 840059624 895406592 971502720 982128531 988305440 1032221640 1050074530 1101036416 1119258240 1185966528 1246456320 1260089436 1295336960 1309504708 1376295520 1482458160 1492344320 1575111795 1581288704 1636880885 1651554624 1680119248 1943005440 1964257062 1976610880 2064443280 2100149060 2202072832 2238516480 2371933056 2520178872 2619009416 2752591040 2964916320 3150223590 3162577408 3273761770 3303109248 3360238496 3886010880 3928514124 3953221760 4128886560 4200298120 4404145664 4477032960 4743866112 4910642655 5040357744 5238018832 5505182080 5565395009 5929832640 6300447180 6547523540 6606218496 6720476992 7857028248 7906443520 8257773120 8400596240 9487732224 9821285310 10080715488 10476037664 11010364160 11130790018 11859665280 12600894360 13095047080 13212436992 13440953984 15714056496 15812887040 16515546240 16696185027 16801192480 19642570620 20161430976 20952075328 22020728320 22261580036 23719330560 25201788720 26190094160 26881907968 27826975045 31428112992 33031092480 33392370054 33602384960 39285141240 40322861952 41904150656 44523160072 47438661120 50403577440 52380188320 53763815936 55653950090 62856225984 66062184960 66784740108 67204769920 78570282480 80645723904 83480925135 83808301312 89046320144 100807154880 104760376640 111307900180 125712451968 133569480216 134409539840 157140564960 161291447808 166961850270 167616602624 178092640288 201614309760 209520753280 222615800360 251424903936 267138960432 268819079680 314281129920 333923700540 356185280576 403228619520 419041506560 445231600720 502849807872 534277920864 628562259840 667847401080 712370561152 806457239040 838083013120 890463201440 1068555841728 1257124519680 1335694802160 1424741122304 1780926402880 2137111683456 2514249039360 2671389604320 2849482244608 3561852805760 4274223366912 5342779208640 7123705611520 8548446733824 10685558417280 14247411223040 21371116834560 42742233669120
• Sum of all divisors σ(n): 147652415640576
• Sum of proper divisors (its aliquot sum) s(n): 104910181971456
• 42742233669120 is an abundant number, because the sum of its proper divisors (104910181971456) is greater than itself. Its abundance is 62167948302336

Bases of 42742233669120

• Binary: 1001101101111110110011101001111001111000000000₂
• Hexadecimal: 0x26DFB3A79E00
• Base-36: F5FIECRUO

Squares and roots of 42742233669120

• 42742233669120 squared (42742233669120²) is 1826898539025655337641574400
• 42742233669120 cubed (42742233669120³) is 78085724244808503852016343014365462528000
• The square root of 42742233669120 is 6537754.4821689351
• The cube root of 42742233669120 is 34963.8357528917

Scales and comparisons

• 42,742,233,669,120 seconds is equal to 1,359,070 years, 42 weeks, 4 days, 13 hours, 52 minutes.
• To count from 1 to 42,742,233,669,120 would take you about three million, three hundred ninety-seven thousand, six hundred seventy-seven 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 42742233669120 cubic inches would be around 2913.7 feet tall.

Recreational maths with 42742233669120

• 42742233669120 backwards is 02196633224724
• 42742233669120 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42742233669120's digits is 51
• More coming soon!