132638685751869440
132,638,685,751,869,440 is an even composite number composed of seven prime numbers multiplied together.
132638685751869440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 132638685751869440:
216 × 5 × 112 × 132 × 37 × 191 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 13 × 37 × 191 × 2801)See below for interesting mathematical facts about the number 132638685751869440 from the Numbermatics database.
Names of 132638685751869440
- Cardinal: 132638685751869440 can be written as One hundred thirty-two quadrillion, six hundred thirty-eight trillion, six hundred eighty-five billion, seven hundred fifty-one million, eight hundred sixty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3263868575186944 × 1017
Factors of 132638685751869440
Divisors of 132638685751869440
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 37 40 44 52 55 64 65 74 80 88 104 110 121 128 130 143 148 160 169 176 185 191 208 220 242 256 260 286 296 320 338 352 370 382 407 416 440 481 484 512 520 572 592 605 640 676 704 715 740 764 814 832 845 880 955 962 968 1024 1040 1144 1184 1210 1280 1352 1408 1430 1480 1528 1573 1628 1664 1690 1760 1859 1910 1924 1936 2035 2048 2080 2101 2288 2368 2405 2420 2483 2560 2704 2801 2816 2860 2960 3056 3146 3256 3328 3380 3520 3718 3820 3848 3872 4070 4096 4160 4202 4477 4576 4736 4810 4840 4966 5120 5291 5408 5602 5632 5720 5920 6112 6253 6292 6512 6656 6760 7040 7067 7436 7640 7696 7744 7865 8140 8192 8320 8404 8954 9152 9295 9472 9620 9680 9932 10240 10505 10582 10816 11204 11264 11440 11840 12224 12415 12506 12584 13024 13312 13520 14005 14080 14134 14872 15280 15392 15488 15730 16280 16384 16640 16808 17908 18304 18590 18944 19240 19360 19864 20449 20480 21010 21164 21632 22385 22408 22528 22880 23111 23680 24448 24830 25012 25168 26048 26455 26624 27040 27313 28010 28160 28268 29744 30560 30784 30811 30976 31265 31460 32279 32560 32768 33280 33616 35335 35816 36413 36608 37180 37888 38480 38720 39728 40898 40960 42020 42328 43264 44770 44816 45056 45760 46222 47360 48896 49660 50024 50336 52096 52910 53248 54080 54626 56020 56320 56536 58201 59488 61120 61568 61622 61952 62530 62920 64558 65120 65536 66560 67232 68783 70670 71632 72826 73216 74360 75776 76960 77440 77737 79456 81796 81920 84040 84656 86528 89540 89632 90112 91520 91871 92444 94720 97792 99320 100048 100672 102245 103637 104192 105820 106496 108160 109252 112040 112640 113072 115555 116402 118976 122240 123136 123244 123904 125060 125840 129116 130240 133120 134464 136565 137566 141340 143264 145652 146432 148720 151552 153920 154055 154880 155474 158912 161395 163592 163840 168080 169312 173056 179080 179264 180224 182065 183040 183742 184888 189440 195584 198640 200096 201344 204490 207274 208384 211640 212992 216320 218504 224080 225280 226144 231110 232804 237952 244480 246272 246488 247808 250120 251680 258232 260480 266240 268928 273130 275132 282680 286528 291005 291304 292864 297440 300443 303104 307840 308110 309760 310948 317824 322790 327184 327680 336160 338624 338921 343915 346112 355069 358160 358528 360448 364130 366080 367484 369776 378880 388685 391168 397280 400192 400543 402688 408980 414548 416768 423280 425984 432640 437008 448160 450560 452288 459355 462220 465608 473369 475904 488960 492544 492976 495616 500240 503360 516464 518185 520960 532480 534991 537856 546260 550264 565360 573056 582010 582608 585728 594880 600886 606208 615680 616220 619520 621896 635648 645580 654368 672320 677248 677842 687830 692224 710138 716320 717056 720896 728260 732160 734968 739552 756613 757760 777370 782336 794560 800384 801086 805376 817960 829096 833536 846560 851968 855107 865280 874016 896320 901120 904576 918710 924440 931216 946738 951808 977920 985088 985952 991232 1000480 1006720 1010581 1032928 1036370 1041920 1064960 1069982 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44810366808064 46377162850304 47101806019840 47354047037440 49052768399360 51811986621824 53418721607680 54809374277632 55151220686848 56012958510080 57971453562880 63131216445440 63768598919168 64764983277280 65178715357184 68511717847040 68939025858560 69444338089984 71349481308160 75362889631744 78484429438976 79710748648960 81473394196480 84322114273280 86805422612480 89620733616128 92754325700608 94203612039680 98105536798720 103623973243648 109618748555264 112025917020160 115942907125760 127537197838336 129529966554560 137023435694080 137878051717120 138888676179968 150725779263488 156968858877952 159421497297920 162946788392960 173610845224960 179241467232256 185508651401216 188407224079360 196211073597440 207247946487296 219237497110528 224051834040320 231885814251520 255074395676672 259059933109120 274046871388160 275756103434240 301451558526976 318842994595840 325893576785920 347221690449920 358482934464512 376814448158720 392422147194880 414495892974592 448103668080640 463771628503040 510148791353344 518119866218240 548093742776320 602903117053952 637685989191680 694443380899840 716965868929024 753628896317440 784844294389760 828991785949184 896207336161280 927543257006080 1020297582706688 1036239732436480 1096187485552640 1205806234107904 1275371978383360 1507257792634880 1657983571898368 1792414672322560 2040595165413376 2072479464872960 2411612468215808 2550743956766720 3014515585269760 3315967143796736 3584829344645120 4144958929745920 5101487913533440 6029031170539520 6631934287593472 8289917859491840 10202975827066880 12058062341079040 13263868575186944 16579835718983680 26527737150373888 33159671437967360 66319342875934720 132638685751869440
- Sum of all divisors σ(n): 391303335811788288
- Sum of proper divisors (its aliquot sum) s(n): 258664650059918848
- 132638685751869440 is an abundant number, because the sum of its proper divisors (258664650059918848) is greater than itself. Its abundance is 126025964308049408
Bases of 132638685751869440
- Binary: 1110101110011101000101110100100111011011100000000000000002
- Hexadecimal: 0x1D73A2E93B70000
- Base-36: 10A0HN1FA60W
Squares and roots of 132638685751869440
- 132638685751869440 squared (1326386857518694402) is 17593020957983173191880454805913600
- 132638685751869440 cubed (1326386857518694403) is 2333515178271983159885348159860480229483567120384000
-
The
square root of 132638685751869440 is 364195944.1727343563 -
The
cube root of 132638685751869440 is 509984.2180838113
Scales and comparisons
How big is 132638685751869440?- 132,638,685,751,869,440 seconds is equal to 4,217,499,928 years, 26 weeks, 5 days, 23 hours, 17 minutes, 20 seconds.
-
To count from 1 to 132,638,685,751,869,440 would take you about twelve billion, six hundred fifty-two million, four hundred ninety-nine thousand, seven hundred eighty-five 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 132638685751869440 cubic inches would be around 42498.7 feet tall.
Recreational maths with 132638685751869440
- 132638685751869440 backwards is 044968157586836231
- The number of decimal digits it has is: 18
- The sum of 132638685751869440's digits is 86
- More coming soon!
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"Number 132638685751869440 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 132638685751869440 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/132638685751869440/
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Numbermatics. 2024. "Number 132638685751869440 - Facts about the integer". https://numbermatics.com/n/132638685751869440/
The information we have on file for 132638685751869440 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 132638685751869440, math, Factors of 132638685751869440, curriculum, school, college, exams, university, Prime factorization of 132638685751869440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, six hundred thirty-eight trillion, six hundred eighty-five billion, seven hundred fifty-one million, eight hundred sixty-nine thousand, four hundred forty.