3402756132000
3,402,756,132,000 is an even composite number composed of seven prime numbers multiplied together.
3402756132000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3402756132000:
25 × 3 × 53 × 19 × 41 × 137 × 2657
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 41 × 137 × 2657)See below for interesting mathematical facts about the number 3402756132000 from the Numbermatics database.
Names of 3402756132000
- Cardinal: 3402756132000 can be written as Three trillion, four hundred two billion, seven hundred fifty-six million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 3.402756132 × 1012
Factors of 3402756132000
Divisors of 3402756132000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 41 48 50 57 60 75 76 80 82 95 96 100 114 120 123 125 137 150 152 160 164 190 200 205 228 240 246 250 274 285 300 304 328 375 380 400 410 411 456 475 480 492 500 548 570 600 608 615 656 685 750 760 779 800 820 822 912 950 984 1000 1025 1096 1140 1200 1230 1312 1370 1425 1500 1520 1558 1640 1644 1824 1900 1968 2000 2050 2055 2192 2280 2337 2375 2400 2460 2603 2657 2740 2850 3000 3040 3075 3116 3280 3288 3425 3800 3895 3936 4000 4100 4110 4384 4560 4674 4750 4920 5125 5206 5314 5480 5617 5700 6000 6150 6232 6560 6576 6850 7125 7600 7790 7809 7971 8200 8220 9120 9348 9500 9840 10250 10275 10412 10628 10960 11234 11400 11685 12000 12300 12464 13015 13152 13285 13700 14250 15200 15375 15580 15618 15942 16400 16440 16851 17125 18696 19000 19475 19680 20500 20550 20824 21256 21920 22468 22800 23370 24600 24928 26030 26570 27400 28085 28500 30750 31160 31236 31884 32800 32880 33702 34250 37392 38000 38950 39045 39855 41000 41100 41648 42512 44936 45600 46740 49200 50483 51375 52060 53140 54800 56170 57000 58425 61500 62320 62472 63768 65075 65760 66425 67404 68500 74784 76000 77900 78090 79710 82000 82200 83296 84255 85024 89872 93480 97375 98400 100966 102750 104120 106280 106723 108937 109600 112340 114000 116850 123000 124640 124944 127536 130150 132850 134808 137000 140425 151449 155800 156180 159420 164000 164400 168510 179744 186960 194750 195225 199275 201932 205500 208240 212560 213446 217874 224680 228000 233700 246000 249888 252415 255072 260300 265700 269616 274000 280850 292125 302898 311600 312360 318840 320169 325375 326811 328800 332125 337020 364009 373920 389500 390450 398550 403864 411000 416480 421275 425120 426892 435748 449360 467400 492000 504830 520600 531400 533615 539232 544685 548000 561700 584250 605796 623200 624720 637680 640338 650750 653622 664250 674040 702125 728018 757245 779000 780900 797100 807728 822000 842550 853784 871496 898720 934800 976125 996375 1009660 1041200 1062800 1067230 1089370 1092027 1123400 1168500 1211592 1249440 1262075 1275360 1280676 1301500 1307244 1328500 1348080 1404250 1456036 1514490 1558000 1561800 1594200 1600845 1615456 1634055 1644000 1685100 1707568 1742992 1820045 1869600 1952250 1992750 2019320 2069803 2082400 2106375 2125600 2134460 2178740 2184054 2246800 2337000 2423184 2524150 2561352 2603000 2614488 2657000 2668075 2696160 2723425 2808500 2912072 3028980 3116000 3123600 3188400 3201690 3268110 3370200 3415136 3485984 3640090 3786225 3904500 3985500 4038640 4139606 4212750 4268920 4357480 4368108 4493600 4674000 4846368 5048300 5122704 5206000 5228976 5314000 5336150 5446850 5460135 5617000 5824144 6057960 6209409 6247200 6310375 6376800 6403380 6536220 6740400 6916171 7280180 7572450 7809000 7971000 8004225 8077280 8170275 8279212 8425500 8537840 8714960 8736216 9100225 9348000 10096600 10245408 10349015 10412000 10457952 10628000 10672300 10893700 10920270 11234000 11648288 12115920 12418818 12620750 12806760 13072440 13340375 13480800 13617125 13832342 14560360 14924369 15144900 15618000 15942000 16008450 16340550 16558424 16851000 17075680 17429920 17472432 18200450 18931125 20193200 20698030 20748513 21344600 21787400 21840540 22468000 24231840 24837636 25241500 25613520 26144880 26680750 27234250 27300675 27664684 29120720 29848738 30289800 31047045 31236000 31884000 32016900 32681100 33116848 33702000 34580855 34944864 36400900 37862250 40021125 40386400 40851375 41396060 41497026 42689200 43574800 43681080 44773107 45501125 49675272 50483000 51227040 51745075 52289760 53361500 54468500 54601350 55329368 58241440 59697476 60579600 62094090 64033800 65362200 66233696 67404000 69161710 72801800 74621845 75724500 80042250 81702750 82792120 82994052 85378400 87149600 87362160 89546214 91002250 99350544 100966000 103490150 103742565 106723000 108937000 109202700 110658736 119394952 121159200 124188180 128067600 130724400 136503375 138323420 145603600 149243690 151449000 155235225 160084500 163405500 165584240 165988104 172904275 174724320 179092428 182004500 198701088 201932000 206980300 207485130 213446000 217874000 218405400 221317472 223865535 238789904 248376360 256135200 258725375 261448800 273006750 276646840 283563011 291207200 298487380 302898000 310470450 320169000 326811000 331168480 331976208 345808550 358184856 364009000 373109225 413960600 414970260 426892000 435748000 436810800 447731070 477579808 496752720 517450750 518712825 546013500 553293680 567126022 596974760 605796000 620940900 640338000 653622000 663952416 691617100 716369712 728018000 746218450 776176125 827921200 829940520 850689033 864521375 873621600 895462140 993505440 1034901500 1037425650 1092027000 1106587360 1119327675 1134252044 1193949520 1241881800 1280676000 1307244000 1383234200 1417815055 1432739424 1456036000 1492436900 1552352250 1655842400 1659881040 1701378066 1729042750 1790924280 1865546125 2069803000 2074851300 2184054000 2238655350 2268504088 2387899040 2483763600 2593564125 2766468400 2835630110 2984873800 3104704500 3319762080 3402756132 3458085500 3581848560 3731092250 4139606000 4149702600 4253445165 4368108000 4477310700 4537008176 4967527200 5187128250 5532936800 5596638375 5671260220 5969747600 6209409000 6805512264 6916171000 7089075275 7163697120 7462184500 8279212000 8299405200 8506890330 8954621400 9074016352 10374256500 11193276750 11342520440 11939495200 12418818000 13611024528 13832342000 14178150550 14924369000 16598810400 17013780660 17909242800 20748513000 21267225825 22386553500 22685040880 24837636000 27222049056 27664684000 28356301100 29848738000 34027561320 35445376375 35818485600 41497026000 42534451650 44773107000 45370081760 56712602200 59697476000 68055122640 70890752750 82994052000 85068903300 89546214000 106336129125 113425204400 136110245280 141781505500 170137806600 179092428000 212672258250 226850408800 283563011000 340275613200 425344516500 567126022000 680551226400 850689033000 1134252044000 1701378066000 3402756132000
- Sum of all divisors σ(n): 12112631032320
- Sum of proper divisors (its aliquot sum) s(n): 8709874900320
- 3402756132000 is an abundant number, because the sum of its proper divisors (8709874900320) is greater than itself. Its abundance is 5307118768320
Bases of 3402756132000
- Binary: 1100011000010001000001001000001100101000002
- Hexadecimal: 0x31844120CA0
- Base-36: 17F7D576O
Squares and roots of 3402756132000
- 3402756132000 squared (34027561320002) is 11578749293863601424000000
- 3402756132000 cubed (34027561320003) is 39399660160585039717119931968000000000
-
The
square root of 3402756132000 is 1844656.1012828381 -
The
cube root of 3402756132000 is 15041.0079830789
Scales and comparisons
How big is 3402756132000?- 3,402,756,132,000 seconds is equal to 108,197 years, 6 weeks, 1 day, 12 hours, 40 minutes.
-
To count from 1 to 3,402,756,132,000 would take you about two hundred seventy thousand, four hundred ninety-two 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 3402756132000 cubic inches would be around 1253.4 feet tall.
Recreational maths with 3402756132000
- 3402756132000 backwards is 0002316572043
- The number of decimal digits it has is: 13
- The sum of 3402756132000's digits is 33
- More coming soon!
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