12434123520
12,434,123,520 is an even composite number composed of seven prime numbers multiplied together.
12434123520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12434123520:
28 × 32 × 5 × 7 × 13 × 29 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 29 × 409)See below for interesting mathematical facts about the number 12434123520 from the Numbermatics database.
Names of 12434123520
- Cardinal: 12434123520 can be written as Twelve billion, four hundred thirty-four million, one hundred twenty-three thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.243412352 × 1010
Factors of 12434123520
Divisors of 12434123520
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 32 35 36 39 40 42 45 48 52 56 58 60 63 64 65 70 72 78 80 84 87 90 91 96 104 105 112 116 117 120 126 128 130 140 144 145 156 160 168 174 180 182 192 195 203 208 210 224 232 234 240 252 256 260 261 273 280 288 290 312 315 320 336 348 360 364 377 384 390 406 409 416 420 435 448 455 464 468 480 504 520 522 546 560 576 580 585 609 624 630 640 672 696 720 728 754 768 780 812 818 819 832 840 870 896 910 928 936 960 1008 1015 1040 1044 1092 1120 1131 1152 1160 1170 1218 1227 1248 1260 1280 1305 1344 1365 1392 1440 1456 1508 1560 1624 1636 1638 1664 1680 1740 1792 1820 1827 1856 1872 1885 1920 2016 2030 2045 2080 2088 2184 2240 2262 2304 2320 2340 2436 2454 2496 2520 2610 2639 2688 2730 2784 2863 2880 2912 3016 3045 3120 3248 3272 3276 3328 3360 3393 3480 3640 3654 3681 3712 3744 3770 3840 4032 4060 4090 4095 4160 4176 4368 4480 4524 4640 4680 4872 4908 4992 5040 5220 5278 5317 5376 5460 5568 5655 5726 5760 5824 6032 6090 6135 6240 6496 6544 6552 6720 6786 6960 7280 7308 7362 7424 7488 7540 7917 8064 8120 8180 8190 8320 8352 8589 8736 8960 9048 9135 9280 9360 9744 9816 9984 10080 10440 10556 10634 10920 11136 11310 11452 11520 11648 11861 12064 12180 12270 12480 12992 13088 13104 13195 13440 13572 13920 14315 14560 14616 14724 14976 15080 15834 15951 16128 16240 16360 16380 16640 16704 16965 17178 17472 18096 18270 18405 18560 18720 19488 19632 20160 20880 21112 21268 21840 22272 22620 22904 23296 23722 23751 24128 24360 24540 24960 25767 25984 26176 26208 26390 26585 26880 27144 27840 28630 29120 29232 29448 29952 30160 31668 31902 32480 32720 32760 33408 33930 34356 34944 35583 36192 36540 36810 37120 37219 37440 38976 39264 39585 40320 41760 42224 42536 42945 43680 45240 45808 47444 47502 47853 48256 48720 49080 49920 51534 51968 52352 52416 52780 53170 54288 55680 57260 58240 58464 58896 59305 60320 63336 63804 64960 65440 65520 66816 67860 68712 69888 71166 72384 73080 73620 74438 74880 77952 78528 79170 79755 80640 83027 83520 84448 85072 85890 87360 90480 91616 94888 95004 95706 96512 97440 98160 103068 104704 104832 105560 106340 106749 108576 111360 111657 114520 116480 116928 117792 118610 118755 120640 126672 127608 128835 129920 130880 131040 135720 137424 142332 144768 146160 147240 148876 149760 154193 155904 157056 158340 159510 166054 167040 168896 170144 171780 174720 177915 180960 183232 186095 189776 190008 191412 194880 196320 206136 209664 211120 212680 213498 217152 223314 229040 233856 235584 237220 237510 239265 241280 249081 253344 255216 257670 259840 261760 262080 271440 274848 284664 289536 292320 294480 297752 308386 314112 316680 319020 332108 334080 334971 337792 340288 343560 349440 355830 361920 366464 372190 379552 380016 382824 389760 392640 412272 415135 422240 425360 426996 434304 446628 458080 462579 467712 471168 474440 475020 478530 482560 498162 506688 510432 515340 523520 524160 533745 542880 549696 558285 569328 584640 588960 595504 616772 633360 638040 664216 669942 675584 680576 687120 711660 723840 732928 744380 747243 759104 760032 765648 770965 779520 785280 824544 830270 844480 850720 853992 868608 893256 916160 925158 942336 948880 950040 957060 996324 1013376 1020864 1030680 1048320 1067490 1079351 1085760 1099392 1116570 1138656 1169280 1177920 1191008 1233544 1245405 1266720 1276080 1328432 1339884 1361152 1374240 1387737 1423320 1447680 1488760 1494486 1518208 1520064 1531296 1541930 1570560 1649088 1660540 1674855 1688960 1701440 1707984 1786512 1832320 1850316 1897760 1900080 1914120 1992648 2026752 2041728 2061360 2134980 2158702 2171520 2198784 2233140 2277312 2312895 2338560 2355840 2382016 2467088 2490810 2533440 2552160 2656864 2679768 2748480 2775474 2846640 2977520 2988972 3036416 3040128 3062592 3083860 3238053 3298176 3321080 3349710 3377920 3402880 3415968 3573024 3664640 3700632 3736215 3795520 3800160 3828240 3985296 4083456 4122720 4269960 4317404 4343040 4466280 4554624 4625790 4711680 4764032 4934176 4981620 5066880 5104320 5313728 5359536 5396755 5496960 5550948 5693280 5955040 5977944 6080256 6125184 6167720 6476106 6596352 6642160 6699420 6805760 6831936 6938685 7146048 7401264 7472430 7591040 7600320 7656480 7970592 8245440 8539920 8634808 8932560 9109248 9251580 9528064 9714159 9868352 9963240 10133760 10208640 10627456 10719072 10793510 10993920 11101896 11386560 11910080 11955888 12250368 12335440 12952212 13284320 13398840 13663872 13877370 14292096 14802528 14944860 15182080 15200640 15312960 15941184 16190265 16490880 17079840 17269616 17865120 18503160 19428318 19736704 19926480 20417280 21254912 21438144 21587020 22203792 22773120 23820160 23911776 24670880 25904424 26568640 26797680 27327744 27754740 28584192 29605056 29889720 30401280 30625920 31882368 32380530 32981760 34159680 34539232 35730240 37006320 38856636 39473408 39852960 42876288 43174040 44407584 45546240 47640320 47823552 48570795 49341760 51808848 53137280 53595360 55509480 59210112 59779440 61251840 63764736 64761060 68319360 69078464 71460480 74012640 77713272 79705920 85752576 86348080 88815168 95647104 97141590 98683520 103617696 106274560 107190720 111018960 118420224 119558880 129522120 136638720 138156928 142920960 148025280 155426544 159411840 172696160 177630336 191294208 194283180 197367040 207235392 214381440 222037920 239117760 259044240 276313856 296050560 310853088 318823680 345392320 355260672 388566360 414470784 428762880 444075840 478235520 518088480 592101120 621706176 690784640 777132720 828941568 888151680 956471040 1036176960 1243412352 1381569280 1554265440 1776303360 2072353920 2486824704 3108530880 4144707840 6217061760 12434123520
- Sum of all divisors σ(n): 54908380800
- Sum of proper divisors (its aliquot sum) s(n): 42474257280
- 12434123520 is an abundant number, because the sum of its proper divisors (42474257280) is greater than itself. Its abundance is 30040133760
Bases of 12434123520
- Binary: 10111001010010000110101011000000002
- Hexadecimal: 0x2E521AB00
- Base-36: 5PMYF40
Squares and roots of 12434123520
- 12434123520 squared (124341235202) is 154607427710617190400
- 12434123520 cubed (124341235203) is 1922407853263284960868958208000
-
The
square root of 12434123520 is 111508.4011184807 -
The
cube root of 12434123520 is 2316.7102799673
Scales and comparisons
How big is 12434123520?- 12,434,123,520 seconds is equal to 395 years, 19 weeks, 11 hours, 12 minutes.
-
To count from 1 to 12,434,123,520 would take you about seven 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 12434123520 cubic inches would be around 193.1 feet tall.
Recreational maths with 12434123520
- 12434123520 backwards is 02532143421
- The number of decimal digits it has is: 11
- The sum of 12434123520's digits is 27
- More coming soon!
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