12638117520
12,638,117,520 is an even composite number composed of seven prime numbers multiplied together.
12638117520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12638117520:
24 × 32 × 5 × 7 × 19 × 271 × 487
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 271 × 487)See below for interesting mathematical facts about the number 12638117520 from the Numbermatics database.
Names of 12638117520
- Cardinal: 12638117520 can be written as Twelve billion, six hundred thirty-eight million, one hundred seventeen thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.263811752 × 1010
Factors of 12638117520
Divisors of 12638117520
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 35 36 38 40 42 45 48 56 57 60 63 70 72 76 80 84 90 95 105 112 114 120 126 133 140 144 152 168 171 180 190 210 228 240 252 266 271 280 285 304 315 336 342 360 380 399 420 456 487 504 532 542 560 570 630 665 684 720 760 798 813 840 855 912 974 1008 1064 1084 1140 1197 1260 1330 1355 1368 1461 1520 1596 1626 1680 1710 1897 1948 1995 2128 2168 2280 2394 2435 2439 2520 2660 2710 2736 2922 3192 3252 3409 3420 3794 3896 3990 4065 4336 4383 4560 4788 4870 4878 5040 5149 5320 5420 5691 5844 5985 6384 6504 6818 6840 7305 7588 7792 7980 8130 8766 9253 9485 9576 9740 9756 10227 10298 10640 10840 11382 11688 11970 12195 13008 13636 13680 14610 15176 15447 15960 16260 17045 17073 17532 18506 18970 19152 19480 19512 20454 20596 21680 21915 22764 23376 23940 24390 25745 27272 27759 28455 29220 30352 30681 30894 31920 32520 34090 34146 35064 36043 37012 37940 38960 39024 40908 41192 43830 45528 46265 46341 47880 48780 51135 51490 54544 55518 56910 58440 61362 61788 64771 65040 68180 68292 70128 72086 74024 75880 77235 81816 82384 83277 85365 87660 91056 92530 92682 95760 97560 102270 102980 108129 111036 113820 116880 122724 123576 129542 131977 136360 136584 138795 144172 148048 151760 153405 154470 163632 166554 170730 175320 180215 185060 185364 194313 195120 204540 205960 216258 222072 227640 231705 245448 247152 259084 263954 272720 273168 277590 288344 306810 308940 323855 324387 333108 341460 350640 360430 370120 370728 388626 395931 409080 411920 416385 432516 444144 455280 463410 490896 518168 527908 540645 555180 576688 582939 613620 617880 647710 648774 659885 666216 682920 720860 740240 741456 777252 791862 818160 832770 865032 923839 926820 971565 1036336 1055816 1081290 1110360 1165878 1187793 1227240 1235760 1295420 1297548 1319770 1332432 1365840 1441720 1554504 1583724 1621935 1665540 1730064 1847678 1853640 1943130 1979655 2111632 2162580 2220720 2331756 2375586 2454480 2507563 2590840 2595096 2639540 2771517 2883440 2914695 3109008 3167448 3243870 3331080 3695356 3707280 3886260 3959310 4325160 4619195 4663512 4751172 5015126 5181680 5190192 5279080 5543034 5829390 5938965 6334896 6487740 6662160 7390712 7522689 7772520 7918620 8314551 8650320 9238390 9327024 9502344 10030252 10558160 11086068 11658780 11877930 12537815 12975480 13857585 14781424 15045378 15545040 15837240 16629102 17552941 18476780 19004688 20060504 22172136 22568067 23317560 23755860 25075630 25950960 27715170 30090756 31674480 33258204 35105882 36953560 37613445 40121008 41572755 44344272 45136134 46635120 47511720 50151260 52658823 55430340 60181512 66516408 70211764 73907120 75226890 83145510 87764705 90272268 95023440 100302520 105317646 110860680 112840335 120363024 133032816 140423528 150453780 157976469 166291020 175529410 180544536 200605040 210635292 221721360 225680670 263294115 280847056 300907560 315952938 332582040 351058820 361089072 421270584 451361340 526588230 601815120 631905876 665164080 702117640 789882345 842541168 902722680 1053176460 1263811752 1404235280 1579764690 1805445360 2106352920 2527623504 3159529380 4212705840 6319058760 12638117520
- Sum of all divisors σ(n): 51352903680
- Sum of proper divisors (its aliquot sum) s(n): 38714786160
- 12638117520 is an abundant number, because the sum of its proper divisors (38714786160) is greater than itself. Its abundance is 26076668640
Bases of 12638117520
- Binary: 10111100010100101001011110100100002
- Hexadecimal: 0x2F14A5E90
- Base-36: 5T0EPW0
Squares and roots of 12638117520
- 12638117520 squared (126381175202) is 159722014449330950400
- 12638117520 cubed (126381175203) is 2018585589141782636528491008000
-
The
square root of 12638117520 is 112419.3823146169 -
The
cube root of 12638117520 is 2329.3109224877
Scales and comparisons
How big is 12638117520?- 12,638,117,520 seconds is equal to 401 years, 44 weeks, 2 days, 12 hours, 12 minutes.
-
To count from 1 to 12,638,117,520 would take you about eight hundred three 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 12638117520 cubic inches would be around 194.1 feet tall.
Recreational maths with 12638117520
- 12638117520 backwards is 02571183621
- 12638117520 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12638117520's digits is 36
- More coming soon!
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