131327688960
131,327,688,960 is an even composite number composed of seven prime numbers multiplied together.
131327688960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 131327688960:
28 × 33 × 5 × 13 × 23 × 71 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 23 × 71 × 179)See below for interesting mathematical facts about the number 131327688960 from the Numbermatics database.
Names of 131327688960
- Cardinal: 131327688960 can be written as One hundred thirty-one billion, three hundred twenty-seven million, six hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3132768896 × 1011
Factors of 131327688960
Divisors of 131327688960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 32 36 39 40 45 46 48 52 54 60 64 65 69 71 72 78 80 90 92 96 104 108 115 117 120 128 130 135 138 142 144 156 160 179 180 184 192 195 207 208 213 216 230 234 240 256 260 270 276 284 288 299 312 320 345 351 355 358 360 368 384 390 414 416 426 432 460 468 480 520 537 540 552 568 576 585 598 621 624 639 640 690 702 710 716 720 736 768 780 828 832 852 864 895 897 920 923 936 960 1035 1040 1065 1074 1080 1104 1136 1152 1170 1196 1242 1248 1278 1280 1380 1404 1420 1432 1440 1472 1495 1560 1611 1633 1656 1664 1704 1728 1755 1790 1794 1840 1846 1872 1917 1920 2070 2080 2130 2148 2160 2208 2272 2304 2327 2340 2392 2484 2496 2556 2685 2691 2760 2769 2808 2840 2864 2880 2944 2990 3105 3120 3195 3222 3266 3312 3328 3408 3456 3510 3580 3588 3680 3692 3744 3834 3840 4117 4140 4160 4260 4296 4320 4416 4485 4544 4615 4654 4680 4784 4833 4899 4968 4992 5112 5370 5382 5520 5538 5616 5680 5728 5760 5888 5980 6210 6240 6390 6444 6532 6624 6816 6912 6981 7020 7160 7176 7360 7384 7488 7668 8055 8073 8165 8234 8280 8307 8320 8520 8592 8640 8832 8970 9088 9230 9308 9360 9568 9585 9666 9798 9936 9984 10224 10740 10764 11040 11076 11232 11360 11456 11520 11635 11960 12351 12420 12480 12709 12780 12888 13064 13248 13455 13632 13845 13962 14040 14320 14352 14697 14720 14768 14976 15336 16110 16146 16330 16468 16560 16614 16640 17040 17184 17280 17664 17940 18176 18460 18616 18720 19136 19170 19332 19596 19872 20448 20585 20943 21229 21480 21528 22080 22152 22464 22720 22912 23270 23920 24165 24495 24702 24840 24921 24960 25418 25560 25776 26128 26496 26910 27264 27690 27924 28080 28640 28704 29394 29440 29536 29952 30672 32220 32292 32660 32936 33120 33228 34080 34368 34560 34905 35880 36920 37053 37232 37440 38127 38272 38340 38664 39192 39744 40365 40896 41170 41535 41886 42458 42960 43056 44091 44160 44304 44928 45440 45824 46540 47840 48330 48990 49404 49680 49842 49920 50836 51120 51552 52256 52992 53521 53820 54528 55380 55848 56160 57280 57408 58788 59072 61344 61755 62829 63545 63687 64440 64584 65320 65872 66240 66456 68160 68736 69810 71760 73485 73840 74106 74464 74880 76254 76544 76680 77328 78384 79488 80730 81792 82340 83070 83772 84916 85920 86112 88182 88320 88608 89856 90880 93080 95680 96660 97980 98808 99360 99684 101672 102240 103104 104512 104715 106145 107042 107640 110760 111159 111696 112320 114381 114560 114816 117576 118144 122688 123510 124605 125658 127090 127374 128880 129168 130640 131744 132480 132912 136320 137472 139620 143520 146970 147680 148212 148928 149760 152508 153360 154656 156768 158976 160563 161460 163584 164680 165217 166140 167544 169832 171840 172224 176364 177216 185265 186160 190635 191061 191360 193320 195960 197616 198720 199368 203344 204480 206208 209024 209430 212290 214084 215280 220455 221520 222318 223392 224640 228762 229120 229632 235152 236288 245376 247020 249210 251316 254180 254748 257760 258336 261280 263488 264960 265824 267605 272640 279240 287040 292307 293940 295360 296424 297856 305016 306720 309312 313536 314145 318435 321126 322920 329360 330434 332280 335088 339664 343143 343680 344448 352728 354432 370530 372320 381270 382122 382720 386640 391920 395232 397440 398736 406688 408960 412416 418048 418860 424580 428168 430560 440910 443040 444636 446784 449280 457524 470304 481689 490752 494040 495651 498420 502632 508360 509496 515520 516672 522560 526976 531648 535210 555795 558480 571905 573183 574080 584614 587880 590720 592848 595712 610032 613440 618624 627072 628290 636870 642252 645840 658720 660868 664560 670176 679328 686286 687360 688896 705456 708864 741060 744640 762540 764244 773280 783840 790464 794880 797472 802815 813376 817920 826085 837720 849160 856336 861120 876921 881820 886080 889272 893568 915048 940608 955305 963378 988080 991302 996840 1005264 1016720 1018992 1031040 1033344 1045120 1053952 1063296 1070420 1111590 1116960 1143810 1146366 1148160 1169228 1175760 1181440 1185696 1220064 1226880 1237248 1254144 1256580 1273740 1284504 1291680 1317440 1321736 1329120 1340352 1358656 1372572 1410912 1445067 1461535 1482120 1486953 1489280 1525080 1528488 1546560 1567680 1580928 1594944 1605630 1626752 1652170 1675440 1698320 1712672 1715715 1722240 1753842 1763640 1772160 1778544 1787136 1830096 1881216 1910610 1926756 1976160 1982604 1993680 2010528 2033440 2037984 2062080 2066688 2090240 2126592 2140840 2223180 2233920 2287620 2292732 2338456 2351520 2371392 2408445 2440128 2453760 2478255 2513160 2547480 2569008 2583360 2630763 2634880 2643472 2658240 2680704 2717312 2745144 2821824 2865915 2890134 2923070 2964240 2973906 2978560 3050160 3056976 3093120 3135360 3161856 3189888 3211260 3253504 3304340 3350880 3396640 3425344 3431430 3444480 3507684 3527280 3544320 3557088 3660192 3762432 3799991 3821220 3853512 3952320 3965208 3987360 4021056 4066880 4075968 4281680 4384605 4446360 4460859 4467840 4575240 4585464 4676912 4703040 4742784 4816890 4880256 4956510 5026320 5094960 5138016 5166720 5261526 5269760 5286944 5316480 5361408 5434624 5490288 5643648 5731830 5780268 5846140 5928480 5947812 6100320 6113952 6186240 6270720 6379776 6422520 6608680 6701760 6793280 6850688 6862860 7015368 7054560 7114176 7225335 7320384 7434765 7599982 7642440 7707024 7892289 7904640 7930416 7974720 8042112 8133760 8151936 8563360 8769210 8892720 8921718 8935680 9150480 9170928 9353824 9406080 9485568 9633780 9760512 9913020 10052640 10189920 10276032 10333440 10523052 10573888 10632960 10980576 11287296 11399973 11463660 11560536 11692280 11856960 11895624 12200640 12227904 12845040 13153815 13217360 13403520 13586560 13701376 13725720 14030736 14109120 14228352 14450670 14640768 14869530 15199964 15284880 15414048 15784578 15809280 15860832 15949440 16084224 16267520 16303872 17126720 17538420 17785440 17843436 18300960 18341856 18707648 18812160 18999955 19267560 19826040 20105280 20379840 20552064 21046104 21147776 21961152 22304295 22799946 22927320 23121072 23384560 23713920 23791248 24401280 24455808 25690080 26307630 26434720 26807040 27173120 27451440 28061472 28218240 28456704 28901340 29281536 29739060 30399928 30569760 30828096 31569156 31721664 31898880 34199919 34253440 35076840 35570880 35686872 36601920 36683712 37415296 37999910 38535120 39461445 39652080 40210560 40759680 41104128 42092208 42295552 43922304 44608590 45599892 45854640 46242144 46769120 47427840 47582496 48802560 48911616 51380160 52615260 52869440 54902880 56122944 56436480 56999865 57802680 59478120 60799856 61139520 61656192 63138312 63443328 68399838 68506880 70153680 71141760 71373744 73203840 73367424 74830592 75999820 77070240 78922890 79304160 80421120 81519360 84184416 87844608 89217180 91199784 91709280 92484288 93538240 95164992 102599757 102760320 105230520 105738880 109805760 112245888 113999730 115605360 118956240 121599712 122279040 123312384 126276624 126886656 136799676 140307360 142283520 142747488 146407680 146734848 151999640 154140480 157845780 158608320 168368832 170999595 178434360 182399568 183418560 184968576 187076480 190329984 205199514 205520640 210461040 211477760 219611520 224491776 227999460 231210720 237912480 243199424 244558080 252553248 273599352 280614720 285494976 303999280 308280960 315691560 317216640 336737664 341999190 356868720 364799136 366837120 369937152 374152960 380659968 410399028 420922080 439223040 455998920 462421440 475824960 486398848 505106496 512998785 547198704 561229440 570989952 607998560 616561920 631383120 634433280 673475328 683998380 713737440 729598272 733674240 820798056 841844160 911997840 924842880 951649920 972797696 1010212992 1025997570 1094397408 1122458880 1141979904 1215997120 1262766240 1367996760 1427474880 1459196544 1641596112 1683688320 1823995680 1849685760 1903299840 2020425984 2051995140 2188794816 2431994240 2525532480 2735993520 2854949760 2918393088 3283192224 3367376640 3647991360 4103990280 4377589632 4863988480 5051064960 5471987040 5709899520 6566384448 7295982720 8207980560 8755179264 10102129920 10943974080 13132768896 14591965440 16415961120 21887948160 26265537792 32831922240 43775896320 65663844480 131327688960
- Sum of all divisors σ(n): 534043238400
- Sum of proper divisors (its aliquot sum) s(n): 402715549440
- 131327688960 is an abundant number, because the sum of its proper divisors (402715549440) is greater than itself. Its abundance is 271387860480
Bases of 131327688960
- Binary: 11110100100111011110110000001000000002
- Hexadecimal: 0x1E93BD8100
- Base-36: 1OBX45C0
Squares and roots of 131327688960
- 131327688960 squared (1313276889602) is 17246961887574505881600
- 131327688960 cubed (1313276889603) is 2265003646276359197244455387136000
-
The
square root of 131327688960 is 362391.6237442581 -
The
cube root of 131327688960 is 5082.9842882173
Scales and comparisons
How big is 131327688960?- 131,327,688,960 seconds is equal to 4,175 years, 42 weeks, 2 days, 9 hours, 36 minutes.
-
To count from 1 to 131,327,688,960 would take you about eight thousand, three hundred fifty-one 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 131327688960 cubic inches would be around 423.6 feet tall.
Recreational maths with 131327688960
- 131327688960 backwards is 069886723131
- 131327688960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131327688960's digits is 54
- More coming soon!
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The information we have on file for 131327688960 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!
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