1320132033920
1,320,132,033,920 is an even composite number composed of six prime numbers multiplied together.
1320132033920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1320132033920:
27 × 5 × 75 × 31 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 31 × 37 × 107)See below for interesting mathematical facts about the number 1320132033920 from the Numbermatics database.
Names of 1320132033920
- Cardinal: 1320132033920 can be written as One trillion, three hundred twenty billion, one hundred thirty-two million, thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.32013203392 × 1012
Factors of 1320132033920
Divisors of 1320132033920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 37 40 49 56 62 64 70 74 80 98 107 112 124 128 140 148 155 160 185 196 214 217 224 245 248 259 280 296 310 320 343 370 392 428 434 448 490 496 518 535 560 592 620 640 686 740 749 784 856 868 896 980 992 1036 1070 1085 1120 1147 1184 1240 1295 1372 1480 1498 1519 1568 1712 1715 1736 1813 1960 1984 2072 2140 2170 2240 2294 2368 2401 2480 2590 2744 2960 2996 3038 3136 3317 3424 3430 3472 3626 3745 3920 3959 3968 4144 4280 4340 4480 4588 4736 4802 4960 5180 5243 5488 5735 5920 5992 6076 6272 6634 6848 6860 6944 7252 7490 7595 7840 7918 8029 8288 8560 8680 9065 9176 9604 9920 10360 10486 10633 10976 11470 11840 11984 12005 12152 12691 13268 13696 13720 13888 14504 14980 15190 15680 15836 16058 16576 16585 16807 17120 17360 18130 18352 19208 19795 19840 20720 20972 21266 21952 22940 23219 23680 23968 24010 24304 25382 26215 26536 27440 27713 27776 29008 29960 30380 31360 31672 32116 33152 33170 33614 34240 34720 36260 36701 36704 38416 39590 40145 41440 41944 42532 43904 45880 46438 47936 48020 48608 50764 52430 53072 53165 54880 55426 56203 58016 59920 60760 63344 63455 64232 66340 67228 68480 69440 72520 73402 73408 74431 76832 79180 80290 82880 83888 84035 85064 88837 91760 92876 95872 96040 97216 101528 104860 106144 106330 109760 110852 112406 116032 116095 119840 121520 122729 126688 126910 128464 132680 134456 138565 138880 145040 146804 146816 148862 153664 158360 160580 162533 165760 167776 168070 170128 177674 183505 183520 185752 192080 193991 194432 203056 209720 212288 212660 219520 221704 224812 232064 232190 239680 243040 245458 253376 253820 256907 256928 265360 268912 277130 281015 290080 293608 297724 307328 316720 321160 325066 335552 336140 340256 355348 367010 367040 371504 372155 384160 387982 393421 406112 419440 424576 425320 443408 444185 449624 464380 479360 486080 490916 506752 507640 513814 513856 521017 530720 537824 554260 562030 580160 587216 595448 613645 621859 633440 642320 650132 671104 672280 680512 710696 734020 734080 743008 744310 768320 775964 786842 812224 812665 838880 850640 859103 886816 888370 899248 928760 969955 972160 981832 1015280 1027628 1027712 1042034 1061440 1075648 1108520 1124060 1137731 1160320 1174432 1190896 1227290 1243718 1266880 1284535 1284640 1300264 1344560 1357937 1361024 1421392 1468040 1486016 1488620 1536640 1551928 1573684 1624448 1625330 1677760 1701280 1718206 1773632 1776740 1798349 1798496 1857520 1939910 1963664 1967105 2030560 2055256 2084068 2122880 2151296 2217040 2248120 2275462 2348864 2381792 2454580 2487436 2533760 2569070 2569280 2600528 2605085 2689120 2715874 2753947 2842784 2936080 2972032 2977240 3103856 3109295 3147368 3250660 3355520 3402560 3436412 3547264 3553480 3596698 3596992 3715040 3879820 3927328 3934210 4061120 4110512 4168136 4295515 4434080 4496240 4550924 4697728 4763584 4909160 4974872 5138140 5138560 5201056 5210170 5378240 5431748 5507894 5685568 5688655 5872160 5954480 6013721 6207712 6218590 6294736 6501320 6789685 6805120 6872824 7106960 7193396 7193984 7430080 7759640 7854656 7868420 7964117 8122240 8221024 8336272 8591030 8868160 8991745 8992480 9101848 9505559 9527168 9818320 9949744 10276280 10402112 10420340 10756480 10863496 11015788 11371136 11377310 11744320 11908960 12027442 12415424 12437180 12589472 13002640 13579370 13745648 13769735 14213920 14386792 14860160 15519280 15709312 15736840 15928234 16442048 16672544 17182060 17736320 17983490 17984960 18203696 19011118 19277629 19636640 19899488 20552560 20804224 20840680 21726992 22031576 22754620 23488640 23817920 24054884 24830848 24874360 25178944 26005280 27158740 27491296 27539470 28427840 28773584 30068605 31038560 31473680 31856468 32884096 33345088 34364120 35966980 35969920 36407392 38022236 38555258 39273280 39798976 39820585 41105120 41681360 42096047 43453984 44063152 45509240 47527795 47635840 48109768 49748720 50357888 52010560 54317480 54982592 55078940 55748819 56855680 57547168 60137210 62077120 62947360 63712936 66538913 66690176 68728240 71933960 72814784 76044472 77110516 78546560 79597952 79641170 82210240 83362720 84192094 86907968 88126304 91018480 95055590 96219536 96388145 99497440 104021120 108634960 109965184 110157880 111497638 115094336 120274420 124154240 125894720 127425872 133077826 137456480 143867920 145629568 152088944 154221032 159282340 164420480 166725440 168384188 173815936 176252608 182036960 190111180 192439072 192776290 198994880 210480235 217269920 220315760 222995276 230188672 240548840 251789440 254851744 266155652 274912960 278744095 287735840 294672329 304177888 308442064 318564680 332694565 333450880 336768376 352505216 364073920 380222360 384878144 385552580 397989760 420960470 434539840 440631520 445990552 481097680 509703488 532311304 549825920 557488190 575471680 589344658 608355776 616884128 637129360 665389130 673536752 728147840 760444720 769756288 771105160 841920940 869079680 881263040 891981104 962195360 1019406976 1064622608 1114976380 1150943360 1178689316 1216711552 1233768256 1274258720 1330778260 1347073504 1473361645 1520889440 1542210320 1683841880 1762526080 1783962208 1924390720 2062706303 2129245216 2229952760 2357378632 2467536512 2548517440 2661556520 2694147008 2946723290 3041778880 3084420640 3367683760 3567924416 3848781440 4125412606 4258490432 4459905520 4714757264 5097034880 5323113040 5388294016 5893446580 6083557760 6168841280 6735367520 7135848832 8250825212 8516980864 8919811040 9429514528 10313531515 10646226080 11786893160 12337682560 13470735040 16501650424 17839622080 18859029056 20627063030 21292452160 23573786320 26941470080 33003300848 35679244160 37718058112 41254126060 42584904320 47147572640 66006601696 82508252120 94295145280 132013203392 165016504240 188590290560 264026406784 330033008480 660066016960 1320132033920
- Sum of all divisors σ(n): 3939871518720
- Sum of proper divisors (its aliquot sum) s(n): 2619739484800
- 1320132033920 is an abundant number, because the sum of its proper divisors (2619739484800) is greater than itself. Its abundance is 1299607450880
Bases of 1320132033920
- Binary: 100110011010111100000000000111101100000002
- Hexadecimal: 0x1335E003D80
- Base-36: GUGKJ0JK
Squares and roots of 1320132033920
- 1320132033920 squared (13201320339202) is 1742748586981756030566400
- 1320132033920 cubed (13201320339203) is 2300658236743431622564847321612288000
-
The
square root of 1320132033920 is 1148969.9882590493 -
The
cube root of 1320132033920 is 10969.9788404031
Scales and comparisons
How big is 1320132033920?- 1,320,132,033,920 seconds is equal to 41,976 years, 5 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
-
To count from 1 to 1,320,132,033,920 would take you about one hundred four thousand, nine hundred forty 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 1320132033920 cubic inches would be around 914.2 feet tall.
Recreational maths with 1320132033920
- 1320132033920 backwards is 0293302310231
- The number of decimal digits it has is: 13
- The sum of 1320132033920's digits is 29
- More coming soon!
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