42123468925440
42,123,468,925,440 is an even composite number composed of seven prime numbers multiplied together.
42123468925440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 42123468925440:
29 × 34 × 5 × 7 × 31 × 37 × 25301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 31 × 37 × 25301)See below for interesting mathematical facts about the number 42123468925440 from the Numbermatics database.
Names of 42123468925440
- Cardinal: 42123468925440 can be written as Forty-two trillion, one hundred twenty-three billion, four hundred sixty-eight million, nine hundred twenty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.212346892544 × 1013
Factors of 42123468925440
Divisors of 42123468925440
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 37 40 42 45 48 54 56 60 62 63 64 70 72 74 80 81 84 90 93 96 105 108 111 112 120 124 126 128 135 140 144 148 155 160 162 168 180 185 186 189 192 210 216 217 222 224 240 248 252 256 259 270 279 280 288 296 310 315 320 324 333 336 360 370 372 378 384 405 420 432 434 444 448 465 480 496 504 512 518 540 555 558 560 567 576 592 620 630 640 648 651 666 672 720 740 744 756 768 777 810 837 840 864 868 888 896 930 945 960 992 999 1008 1036 1080 1085 1110 1116 1120 1134 1147 1152 1184 1240 1260 1280 1295 1296 1302 1332 1344 1395 1440 1480 1488 1512 1536 1554 1620 1665 1674 1680 1728 1736 1776 1792 1860 1890 1920 1953 1984 1998 2016 2072 2160 2170 2220 2232 2240 2268 2294 2304 2331 2368 2480 2511 2520 2560 2590 2592 2604 2664 2688 2790 2835 2880 2960 2976 2997 3024 3108 3240 3255 3330 3348 3360 3441 3456 3472 3552 3584 3720 3780 3840 3885 3906 3968 3996 4032 4144 4185 4320 4340 4440 4464 4480 4536 4588 4608 4662 4736 4960 4995 5022 5040 5180 5184 5208 5328 5376 5580 5670 5735 5760 5859 5920 5952 5994 6048 6216 6480 6510 6660 6696 6720 6882 6912 6944 6993 7104 7440 7560 7680 7770 7812 7936 7992 8029 8064 8288 8370 8640 8680 8880 8928 8960 9072 9176 9324 9472 9765 9920 9990 10044 10080 10323 10360 10368 10416 10656 10752 11160 11340 11470 11520 11655 11718 11840 11904 11988 12096 12432 12555 12960 13020 13320 13392 13440 13764 13824 13888 13986 14208 14880 14985 15120 15540 15624 15872 15984 16058 16128 16576 16740 17205 17280 17360 17577 17760 17856 17920 18144 18352 18648 18944 19530 19840 19980 20088 20160 20646 20720 20736 20832 20979 21312 22320 22680 22940 23040 23310 23436 23680 23808 23976 24087 24192 24864 25110 25301 25920 26040 26640 26784 26880 27528 27776 27972 28416 29295 29760 29970 30240 30969 31080 31248 31968 32116 32256 33152 33480 34410 34560 34720 34965 35154 35520 35712 36288 36704 37296 39060 39680 39960 40145 40176 40320 41292 41440 41472 41664 41958 42624 44640 45360 45880 46620 46872 47360 47616 47952 48174 48384 49728 50220 50602 51615 51840 52080 53280 53568 53760 55056 55552 55944 56832 58590 59520 59940 60480 61938 62160 62496 63936 64232 66304 66960 68820 69120 69440 69930 70308 71040 71424 72261 72576 73408 74592 75903 78120 79360 79920 80290 80352 80640 82584 82880 83328 83916 85248 87885 89280 90720 91760 92907 93240 93744 94720 95904 96348 96768 99456 100440 101204 103230 103680 104160 104895 106560 107136 110112 111104 111888 117180 119040 119880 120435 120960 123876 124320 124992 126505 127872 128464 132608 133920 137640 138880 139860 140616 142080 142848 144522 145152 146816 149184 151806 154845 156240 159840 160580 160704 161280 165168 165760 166656 167832 170496 175770 177107 178560 181440 183520 185814 186480 187488 191808 192696 198912 200880 202408 206460 207360 208320 209790 213120 214272 216783 220224 223776 227709 234360 238080 239760 240870 241920 247752 248640 249984 253010 255744 256928 267840 275280 277760 279720 281232 284160 289044 290304 293632 298368 303612 309690 312480 319680 321160 321408 330336 331520 333312 335664 351540 354214 357120 361305 362880 367040 371628 372960 374976 379515 383616 385392 397824 401760 404816 412920 416640 419580 426240 428544 433566 440448 447552 455418 464535 468720 479520 481740 483840 495504 497280 499968 506020 511488 513856 531321 535680 550560 555520 559440 562464 578088 587264 596736 607224 619380 624960 639360 642320 642816 650349 660672 663040 671328 683127 703080 708428 714240 722610 725760 734080 743256 745920 749952 759030 767232 770784 784331 803520 809632 825840 833280 839160 852480 867132 880896 885535 895104 910836 929070 936137 937440 959040 963480 991008 994560 999936 1012040 1027712 1062642 1071360 1083915 1101120 1118880 1124928 1138545 1156176 1193472 1214448 1238760 1249920 1278720 1284640 1285632 1300698 1321344 1342656 1366254 1406160 1416856 1445220 1451520 1468160 1486512 1491840 1499904 1518060 1534464 1541568 1568662 1593963 1607040 1619264 1651680 1666560 1678320 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87757226928 90588105216 94025600280 94872677760 97058684160 97508029920 100293973632 104008565248 109696533660 111437748480 113235131520 113847213312 117009635904 125367467040 126496903680 130010706560 131635840392 133725298176 135882157824 142309016640 146262044880 150440960448 150980175360 156012847872 162638876160 164544800490 167156622720 169852697280 175514453856 188051200560 189745355520 194117368320 195016059840 200587947264 219393067320 222875496960 226470263040 227694426624 234019271808 250734934080 260021413120 263271680784 271764315648 284618033280 292524089760 300881920896 312025695744 329089600980 334313245440 339705394560 351028907712 376102401120 379490711040 390032119680 401175894528 438786134640 452940526080 468038543616 501469868160 520042826240 526543361568 569236066560 585048179520 601763841792 658179201960 668626490880 679410789120 702057815424 752204802240 780064239360 877572269280 936077087232 1002939736320 1053086723136 1138472133120 1170096359040 1203527683584 1316358403920 1358821578240 1404115630848 1504409604480 1560128478720 1755144538560 2005879472640 2106173446272 2340192718080 2632716807840 2808231261696 3008819208960 3510289077120 4212346892544 4680385436160 5265433615680 6017638417920 7020578154240 8424693785088 10530867231360 14041156308480 21061734462720 42123468925440
- Sum of all divisors σ(n): 182806093375488
- Sum of proper divisors (its aliquot sum) s(n): 140682624450048
- 42123468925440 is an abundant number, because the sum of its proper divisors (140682624450048) is greater than itself. Its abundance is 98559155524608
Bases of 42123468925440
- Binary: 10011001001111101000100110011011101010000000002
- Hexadecimal: 0x264FA266EA00
- Base-36: EXJ95SW00
Squares and roots of 42123468925440
- 42123468925440 squared (421234689254402) is 1774386634312509308279193600
- 42123468925440 cubed (421234689254403) is 74743320252179054705169360929301725184000
-
The
square root of 42123468925440 is 6490259.5422247947 -
The
cube root of 42123468925440 is 34794.2951314221
Scales and comparisons
How big is 42123468925440?- 42,123,468,925,440 seconds is equal to 1,339,396 years, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 42,123,468,925,440 would take you about three million, three hundred forty-eight thousand, four hundred ninety 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 42123468925440 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42123468925440
- 42123468925440 backwards is 04452986432124
- 42123468925440 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42123468925440's digits is 54
- More coming soon!
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"Number 42123468925440 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 42123468925440 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/42123468925440/
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The information we have on file for 42123468925440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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