12946133200
12,946,133,200 is an even composite number composed of seven prime numbers multiplied together.
12946133200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 12946133200:
24 × 52 × 72 × 11 × 13 × 31 × 149
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 13 × 31 × 149)See below for interesting mathematical facts about the number 12946133200 from the Numbermatics database.
Names of 12946133200
- Cardinal: 12946133200 can be written as Twelve billion, nine hundred forty-six million, one hundred thirty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.29461332 × 1010
Factors of 12946133200
Divisors of 12946133200
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 31 35 40 44 49 50 52 55 56 62 65 70 77 80 88 91 98 100 104 110 112 124 130 140 143 149 154 155 175 176 182 196 200 208 217 220 245 248 260 275 280 286 298 308 310 325 341 350 364 385 392 400 403 434 440 455 490 496 520 539 550 560 572 596 616 620 637 650 682 700 715 728 745 770 775 784 806 868 880 910 980 1001 1040 1043 1078 1085 1100 1144 1192 1225 1232 1240 1274 1300 1364 1400 1430 1456 1490 1519 1540 1550 1612 1639 1705 1736 1820 1925 1937 1960 2002 2015 2086 2156 2170 2200 2275 2288 2384 2387 2450 2480 2548 2600 2695 2728 2800 2821 2860 2980 3038 3080 3100 3185 3224 3278 3410 3472 3575 3640 3725 3850 3874 3920 4004 4030 4172 4312 4340 4400 4433 4550 4619 4774 4900 5005 5096 5200 5215 5390 5425 5456 5642 5720 5960 6076 6160 6200 6370 6448 6556 6820 7007 7150 7280 7301 7450 7595 7700 7748 8008 8060 8195 8344 8525 8624 8680 8866 9100 9238 9548 9685 9800 10010 10075 10192 10430 10780 10850 11284 11440 11473 11920 11935 12152 12400 12740 13112 13475 13559 13640 14014 14105 14300 14602 14900 15190 15400 15496 15925 16016 16120 16390 16688 16709 17050 17360 17732 18200 18476 19096 19370 19600 19747 20020 20150 20860 21307 21560 21700 22165 22568 22946 23095 23870 24304 25025 25480 26075 26224 26950 27118 27280 28028 28210 28600 29204 29800 30380 30800 30992 31031 31850 32240 32333 32780 33418 34100 35035 35464 36400 36505 36952 37975 38192 38740 39494 40040 40300 40975 41720 42614 43120 43400 44330 45136 45892 46190 47740 48425 50050 50809 50960 52150 53900 54236 56056 56420 57200 57365 58408 59600 59675 60047 60760 62062 63700 64666 65560 66836 67795 68200 70070 70525 70928 73010 73904 75950 77480 78988 80080 80311 80600 81950 83440 83545 85228 86800 88660 91784 92380 94913 95480 96850 98735 100100 101618 104300 106535 107800 108472 110825 112112 112840 114730 115475 116816 119350 120094 121520 124124 127400 129332 131120 133672 135590 136400 140140 141050 146020 149149 151900 154960 155155 157976 160622 161200 161665 163900 167090 170456 175175 177320 182525 183568 184760 189826 190960 193700 197470 200200 203236 208600 213070 215600 216944 217217 221650 225680 226331 229460 230950 238700 240188 248248 254045 254800 258664 267344 271180 280280 282100 286825 292040 298298 300235 303800 310310 315952 321244 323330 327800 334180 338975 340912 350350 354640 355663 365050 369520 379652 387400 394940 400400 401555 406472 417200 417725 420329 426140 434434 443300 452662 458920 461900 474565 477400 480376 493675 496496 508090 517328 532675 542360 560560 564200 573650 584080 596596 600470 607600 620620 642488 646660 655600 660517 668360 677950 700700 711326 730100 745745 759304 774800 775775 789880 803110 808325 812944 835450 840658 852280 868868 886600 905324 917840 923800 949130 954800 960752 987350 1016180 1044043 1065350 1084720 1086085 1128400 1131655 1147300 1193192 1200940 1241240 1270225 1284976 1293320 1321034 1336720 1355900 1401400 1422652 1460200 1491490 1501175 1518608 1551550 1579760 1606220 1616650 1670900 1681316 1704560 1737736 1773200 1778315 1810648 1847600 1898260 1974700 2007775 2032360 2088086 2101645 2130700 2172170 2263310 2294600 2372825 2386384 2401880 2482480 2489641 2540450 2586640 2642068 2711800 2802800 2845304 2920400 2942303 2982980 3002350 3103100 3212440 3233300 3302585 3341800 3362632 3475472 3556630 3621296 3728725 3796520 3949400 4015550 4064720 4176172 4203290 4261400 4344340 4526620 4589200 4623619 4745650 4803760 4979282 5080900 5220215 5284136 5423600 5430425 5658275 5690608 5884606 5965960 6004700 6206200 6424880 6466600 6605170 6683600 6725264 7113260 7457450 7593040 7898800 8031100 8352344 8406580 8522800 8688680 8891575 9053240 9247238 9491300 9958564 10161800 10440430 10508225 10568272 10860850 11316550 11769212 11931920 12009400 12412400 12448205 12933200 13210340 14226520 14711515 14914900 16062200 16512925 16704688 16813160 17377360 17783150 18106480 18494476 18982600 19917128 20323600 20880860 21016450 21721700 22633100 23118095 23538424 24018800 24896410 26101075 26420680 28453040 29423030 29829800 32124400 32365333 33025850 33626320 35566300 36988952 37965200 39834256 41761720 42032900 43443400 45266200 46236190 47076848 49792820 52202150 52841360 58846060 59659600 62241025 64730666 66051700 71132600 73557575 73977904 83523440 84065800 86886800 90532400 92472380 99585640 104404300 115590475 117692120 124482050 129461332 132103400 142265200 147115150 161826665 168131600 184944760 199171280 208808600 231180950 235384240 248964100 258922664 264206800 294230300 323653330 369889520 417617200 462361900 497928200 517845328 588460600 647306660 809133325 924723800 995856400 1176921200 1294613320 1618266650 1849447600 2589226640 3236533300 6473066600 12946133200
- Sum of all divisors σ(n): 44172172800
- Sum of proper divisors (its aliquot sum) s(n): 31226039600
- 12946133200 is an abundant number, because the sum of its proper divisors (31226039600) is greater than itself. Its abundance is 18279906400
Bases of 12946133200
- Binary: 11000000111010011001010000110100002
- Hexadecimal: 0x303A650D0
- Base-36: 5Y3SKB4
Squares and roots of 12946133200
- 12946133200 squared (129461332002) is 167602364832142240000
- 12946133200 cubed (129461332003) is 2169802539751909080386368000000
-
The
square root of 12946133200 is 113781.0757551535 -
The
cube root of 12946133200 is 2348.0825282225
Scales and comparisons
How big is 12946133200?- 12,946,133,200 seconds is equal to 411 years, 33 weeks, 4 days, 12 hours, 6 minutes, 40 seconds.
-
To count from 1 to 12,946,133,200 would take you about eight hundred twenty-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 12946133200 cubic inches would be around 195.7 feet tall.
Recreational maths with 12946133200
- 12946133200 backwards is 00233164921
- 12946133200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12946133200's digits is 31
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 12946133200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 12946133200 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/12946133200/
Chicago style:
Numbermatics. 2024. "Number 12946133200 - Facts about the integer". https://numbermatics.com/n/12946133200/
The information we have on file for 12946133200 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!
Keywords: Divisors of 12946133200, math, Factors of 12946133200, curriculum, school, college, exams, university, Prime factorization of 12946133200, STEM, science, technology, engineering, physics, economics, calculator, twelve billion, nine hundred forty-six million, one hundred thirty-three thousand, two hundred.