132972039200
132,972,039,200 is an even composite number composed of seven prime numbers multiplied together.
132972039200 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 132972039200:
25 × 52 × 7 × 11 × 132 × 53 × 241
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 53 × 241)See below for interesting mathematical facts about the number 132972039200 from the Numbermatics database.
Names of 132972039200
- Cardinal: 132972039200 can be written as One hundred thirty-two billion, nine hundred seventy-two million, thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.329720392 × 1011
Factors of 132972039200
Divisors of 132972039200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 53 55 56 65 70 77 80 88 91 100 104 106 110 112 130 140 143 154 160 169 175 176 182 200 208 212 220 224 241 260 265 275 280 286 308 325 338 350 352 364 371 385 400 416 424 440 455 482 520 530 550 560 572 583 616 650 676 689 700 715 728 742 770 800 845 848 880 910 964 1001 1040 1060 1100 1120 1144 1166 1183 1205 1232 1300 1325 1352 1378 1400 1430 1456 1484 1540 1687 1690 1696 1760 1820 1855 1859 1925 1928 2002 2080 2120 2200 2275 2288 2332 2366 2410 2464 2600 2650 2651 2704 2756 2800 2860 2912 2915 2968 3080 3133 3374 3380 3445 3575 3640 3710 3718 3850 3856 4004 4081 4225 4240 4400 4550 4576 4664 4732 4820 4823 5005 5200 5300 5302 5408 5512 5600 5720 5830 5915 5936 6025 6160 6266 6748 6760 6890 7150 7280 7420 7436 7579 7700 7712 8008 8162 8435 8450 8480 8800 8957 9100 9275 9295 9328 9464 9640 9646 10010 10400 10600 10604 11024 11440 11660 11830 11872 12050 12320 12532 12773 13013 13255 13496 13520 13780 14300 14560 14575 14840 14872 15158 15400 15665 16016 16324 16870 16900 17225 17914 18200 18550 18557 18590 18656 18928 19280 19292 20020 20405 21200 21208 21931 22048 22880 23320 23660 24100 24115 25025 25064 25546 26026 26510 26992 27040 27560 28600 29150 29575 29680 29744 30316 30800 31330 32032 32648 33740 33800 34450 34463 35828 36400 37100 37114 37180 37856 37895 38560 38584 40040 40729 40810 42175 42400 42416 43862 44785 46475 46640 47320 48200 48230 50050 50128 51092 52052 53020 53053 53984 55120 57200 58300 59150 59360 59488 60632 61600 62660 62699 63865 65065 65296 66275 67480 67600 68900 68926 71656 72800 74200 74228 74360 75790 77168 78325 80080 81458 81620 84350 84832 87724 89411 89570 92785 92950 93280 94640 96400 96460 98527 100100 100256 102025 102184 104104 106040 106106 109655 110240 114400 116600 118300 120575 121264 125320 125398 127730 130130 130592 132550 134960 135200 137800 137852 140503 143312 148400 148456 148720 151580 154336 156650 160160 162916 163240 166049 168700 172315 175448 178822 179140 185570 185900 189280 189475 192800 192920 197054 200200 203645 204050 204368 208208 212080 212212 219310 223925 233200 236600 241150 241241 242528 250640 250796 255460 260260 265100 265265 269920 275600 275704 281006 285103 286624 296800 296912 297440 303160 313300 313495 319325 325325 325832 326480 332098 337400 344630 350896 357644 358280 371140 371800 378950 385840 394108 400400 407290 408100 408736 416416 424160 424424 438620 447055 447850 448019 463925 466400 473200 482300 482482 492635 501280 501592 510920 520520 530200 530530 548275 551200 551408 562012 570206 593824 606320 626600 626990 638650 650650 651664 652960 664196 674800 689260 689689 701792 702515 715288 716560 742280 743600 757900 771680 788216 800800 814580 816200 830245 848848 861575 877240 894110 895700 896038 927850 946400 964600 964964 983521 985270 1003184 1018225 1021840 1041040 1060400 1061060 1096550 1102816 1124024 1140412 1162343 1206205 1212640 1253200 1253980 1277300 1301300 1303328 1326325 1328392 1349600 1378520 1379378 1405030 1425515 1430576 1433120 1484560 1487200 1515800 1567475 1576432 1629160 1632400 1660490 1697696 1723150 1754480 1788220 1791400 1792076 1826539 1855700 1929200 1929928 1967042 1970540 2006368 2036450 2043680 2082080 2120800 2122120 2158637 2193100 2235275 2240095 2248048 2280824 2324686 2412410 2463175 2506400 2507960 2554600 2602600 2652650 2656784 2757040 2758756 2810060 2851030 2861152 2969120 3031600 3134950 3136133 3152864 3258320 3264800 3320980 3446300 3448445 3508960 3512575 3576440 3582800 3584152 3653078 3711400 3858400 3859856 3934084 3941080 4072900 4151225 4244240 4317274 4386200 4470550 4480190 4496096 4561648 4649372 4824820 4917605 4926350 5015920 5109200 5205200 5305300 5313568 5514080 5517512 5620120 5702060 5811715 6031025 6063200 6269900 6272266 6516640 6641960 6892600 6896890 7025150 7127575 7152880 7165600 7168304 7306156 7422800 7719712 7868168 7882160 8145800 8302450 8488480 8634548 8772400 8941100 8960380 9123296 9132695 9298744 9649640 9835210 9852700 10031840 10218400 10410400 10610600 10793185 11035024 11200475 11240240 11404120 11623430 12062050 12539800 12544532 12785773 13283920 13785200 13793780 14050300 14255150 14305760 14336608 14612312 14845600 15110459 15680665 15736336 15764320 16291600 16604900 17242225 17269096 17544800 17882200 17920760 18265390 18597488 19299280 19670420 19705400 21221200 21586370 22070048 22400950 22480480 22808240 23246860 23745007 24124100 24588025 25079600 25089064 25571546 26567840 27570400 27587560 28100600 28510300 29058575 29224624 30220918 31361330 31472672 32583200 33209800 34484450 34538192 35764400 35841520 36530780 37194976 38598560 39340840 39410800 42442400 43172740 44801900 45616480 45663475 46493720 47490014 48248200 49176050 50159200 50178128 51143092 53965925 55175120 56201200 57020600 58117150 58449248 60441836 62722660 63928865 66419600 68968900 69076384 71528800 71683040 73061560 75552295 78403325 78681680 78821600 86345480 89603800 91326950 92987440 94980028 96496400 98352100 100356256 102286184 107931850 110350240 112402400 114041200 116234300 118725035 120883672 125445320 127857730 132839200 137937800 146123120 151104590 156806650 157363360 166215049 172690960 179207600 182653900 185974880 189960056 192992800 196704200 204572368 215863700 228082400 232468600 237450070 241767344 250890640 255715460 275875600 292246240 302209180 313613300 319644325 332430098 345381920 358415200 365307800 377761475 379920112 393408400 409144736 431727400 464937200 474900140 483534688 501781280 511430920 551751200 593625175 604418360 627226600 639288650 664860196 730615600 755522950 759840224 786816800 831075245 863454800 929874400 949800280 1022861840 1187250350 1208836720 1254453200 1278577300 1329720392 1461231200 1511045900 1662150490 1726909600 1899600560 2045723680 2374500700 2417673440 2508906400 2557154600 2659440784 3022091800 3324300980 3799201120 4155376225 4749001400 5114309200 5318881568 6044183600 6648601960 8310752450 9498002800 10228618400 12088367200 13297203920 16621504900 18996005600 26594407840 33243009800 66486019600 132972039200
- Sum of all divisors σ(n): 448367052672
- Sum of proper divisors (its aliquot sum) s(n): 315395013472
- 132972039200 is an abundant number, because the sum of its proper divisors (315395013472) is greater than itself. Its abundance is 182422974272
Bases of 132972039200
- Binary: 11110111101011100000001001100001000002
- Hexadecimal: 0x1EF5C04C20
- Base-36: 1P344A3K
Squares and roots of 132972039200
- 132972039200 squared (1329720392002) is 17681563209006336640000
- 132972039200 cubed (1329720392003) is 2351153516145268388742476288000000
-
The
square root of 132972039200 is 364653.3137104337 -
The
cube root of 132972039200 is 5104.1109900917
Scales and comparisons
How big is 132972039200?- 132,972,039,200 seconds is equal to 4,228 years, 5 weeks, 1 day, 5 hours, 33 minutes, 20 seconds.
-
To count from 1 to 132,972,039,200 would take you about eight thousand, four hundred fifty-six 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 132972039200 cubic inches would be around 425.3 feet tall.
Recreational maths with 132972039200
- 132972039200 backwards is 002930279231
- The number of decimal digits it has is: 12
- The sum of 132972039200's digits is 38
- More coming soon!
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