138253620488672000
138,253,620,488,672,000 is an even composite number composed of five prime numbers multiplied together.
138253620488672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138253620488672000:
28 × 53 × 134 × 31 × 474
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 31 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138253620488672000 from the Numbermatics database.
Names of 138253620488672000
- Cardinal: 138253620488672000 can be written as One hundred thirty-eight quadrillion, two hundred fifty-three trillion, six hundred twenty billion, four hundred eighty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38253620488672 × 1017
Factors of 138253620488672000
Divisors of 138253620488672000
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 47 50 52 62 64 65 80 94 100 104 124 125 128 130 155 160 169 188 200 208 235 248 250 256 260 310 320 325 338 376 400 403 416 470 496 500 520 611 620 640 650 676 752 775 800 806 832 845 940 992 1000 1040 1175 1222 1240 1280 1300 1352 1457 1504 1550 1600 1612 1625 1664 1690 1880 1984 2000 2015 2080 2197 2209 2350 2444 2480 2600 2704 2914 3008 3055 3100 3200 3224 3250 3328 3380 3760 3875 3968 4000 4030 4160 4225 4394 4418 4700 4888 4960 5200 5239 5408 5828 5875 6016 6110 6200 6400 6448 6500 6760 7285 7520 7750 7936 7943 8000 8060 8320 8450 8788 8836 9400 9776 9920 10075 10400 10478 10816 10985 11045 11656 11750 12032 12220 12400 12896 13000 13520 14570 15040 15275 15500 15886 16000 16120 16640 16900 17576 17672 18800 18941 19552 19840 20150 20800 20956 21125 21632 21970 22090 23312 23500 24440 24800 25792 26000 26195 27040 28561 28717 29140 30080 30550 31000 31772 32000 32240 33800 35152 35344 36425 37600 37882 39104 39680 39715 40300 41600 41912 42250 43264 43940 44180 46624 47000 48880 49600 50375 51584 52000 52390 54080 54925 55225 57122 57434 58280 60160 61100 62000 63544 64480 67600 68107 68479 70304 70688 72850 75200 75764 76375 78208 79430 80600 83200 83824 84500 87880 88360 93248 94000 94705 97760 99200 100750 103168 103259 103823 104000 104780 108160 109850 110450 114244 114868 116560 122200 124000 127088 128960 130975 135200 136214 136958 140608 141376 142805 143585 145700 150400 151528 152750 156416 158860 161200 167648 169000 175760 176720 182125 186496 188000 189410 195520 198400 198575 201500 206518 207646 208000 209560 216320 219700 220900 228488 229736 233120 244400 246233 248000 254176 257920 261950 270400 272428 273916 274625 276125 281216 282752 285610 287170 291400 300800 303056 305500 317720 322400 335296 338000 340535 342395 351520 353440 364250 372992 373321 376000 378820 391040 397150 403000 413036 415292 416000 419120 439400 441800 456976 459472 466240 473525 488800 492466 496000 508352 515840 516295 519115 523900 540800 544856 547832 549250 552250 562432 565504 571220 574340 582800 606112 611000 635440 644800 654875 670592 676000 681070 684790 703040 706880 714025 717925 728500 746642 752000 757640 782080 794300 806000 826072 830584 838240 878800 883600 885391 890227 913952 918944 932480 947050 977600 984932 992000 992875 1016704 1032590 1038230 1047800 1081600 1089712 1095664 1098500 1104500 1142440 1148680 1165600 1212224 1222000 1231165 1270880 1289600 1309750 1341184 1342367 1349699 1352000 1362140 1369580 1406080 1413760 1428050 1435850 1457000 1493284 1504000 1515280 1588600 1612000 1652144 1661168 1676480 1702675 1711975 1757600 1767200 1770782 1780454 1827904 1837888 1864960 1866605 1894100 1955200 1969864 1985750 2033408 2065180 2076460 2095600 2179424 2191328 2197000 2209000 2284880 2297360 2331200 2367625 2424448 2444000 2462330 2541760 2579200 2581475 2595575 2619500 2684734 2699398 2704000 2724280 2739160 2812160 2827520 2856100 2871700 2914000 2986568 3030560 3177200 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870285915200 883884132625 905097351808 912396524000 919239497930 948892384960 962869523200 968128710400 977914359500 983255721500 1009459984000 1014973648000 1022585950360 1055572593920 1072065915700 1087857394000 1114948552328 1131371689760 1186115481200 1203586904000 1210160888000 1251730380160 1258567323520 1278232437950 1319465742400 1329361735468 1331628064000 1338901408000 1340082394625 1372244372096 1393685690410 1414214612200 1459834438400 1470783196688 1482644351500 1564662975200 1573209154400 1636137520576 1649332178000 1661702169335 1715305465120 1740571830400 1767768265250 1810194703616 1824793048000 1838478995860 1897784769920 1955828719000 1966511443000 2018919968000 2029947296000 2045171900720 2144131831400 2175714788000 2229897104656 2262743379520 2298098744825 2372230962400 2407173808000 2420321776000 2503460760320 2517134647040 2556464875900 2638931484800 2658723470936 2680164789250 2744488744192 2787371380820 2828429224400 2941566393376 2965288703000 3129325950400 3146418308800 3195581094875 3272275041152 3298664356000 3323404338670 3430610930240 3481143660800 3484214226025 3535536530500 3649586096000 3676957991720 3795569539840 3911657438000 3933022886000 4090343801440 4288263662800 4320425640271 4351429576000 4459794209312 4525486759040 4596197489650 4744461924800 4814347616000 4840643552000 5112929751800 5277862969600 5317446941872 5360329578500 5574742761640 5656858448800 5883132786752 5930577406000 6258651900800 6292836617600 6391162189750 6544550082304 6597328712000 6646808677340 6861221860480 6968428452050 7071073061000 7299172192000 7353915983440 7823314876000 7866045772000 8180687602880 8308510846675 8576527325600 8640851280542 8702859152000 8919588418624 9050973518080 9192394979300 9488923849600 10225859503600 10634893883744 10720659157000 11149485523280 11313716897600 11490493724125 11766265573504 11861154812000 12517303801600 12585673235200 12782324379500 13194657424000 13293617354680 13722443720960 13936856904100 14142146122000 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106348938837440 108010641006775 111494855232800 113137168976000 117662655735040 132936173546800 138253620488672 139368569041000 147078319668800 163613752057600 166170216933500 171530546512000 172817025610840 178391768372480 183847899586000 204517190072000 212697877674880 216021282013550 222989710465600 226274337952000 265872347093600 276507240977344 278737138082000 294156639337600 332340433867000 343061093024000 345634051221680 367695799172000 409034380144000 425395755349760 432042564027100 445979420931200 531744694187200 540053205033875 553014481954688 557474276164000 588313278675200 664680867734000 691268102443360 735391598344000 818068760288000 864085128054200 891958841862400 1063489388374400 1080106410067750 1106028963909376 1114948552328000 1329361735468000 1382536204886720 1470783196688000 1728170256108400 2126978776748800 2160212820135500 2229897104656000 2658723470936000 2765072409773440 2941566393376000 3456340512216800 4320425640271000 4459794209312000 5317446941872000 5530144819546880 6912681024433600 8640851280542000 10634893883744000 13825362048867200 17281702561084000 27650724097734400 34563405122168000 69126810244336000 138253620488672000
- Sum of all divisors σ(n): 393514988468714112
- Sum of proper divisors (its aliquot sum) s(n): 255261367980042112
- 138253620488672000 is an abundant number, because the sum of its proper divisors (255261367980042112) is greater than itself. Its abundance is 117007747491370112
Bases of 138253620488672000
- Binary: 1111010110010110011101111011100100010001110010011000000002
- Hexadecimal: 0x1EB2CEF72239300
- Base-36: 11TATGG497NK
Squares and roots of 138253620488672000
- 138253620488672000 squared (1382536204886720002) is 19114063578225746224080323584000000
- 138253620488672000 cubed (1382536204886720003) is 2642588491940370269579167765073153966440448000000000
-
The
square root of 138253620488672000 is 371824717.4256601247 -
The
cube root of 138253620488672000 is 517081.3067937599
Scales and comparisons
How big is 138253620488672000?- 138,253,620,488,672,000 seconds is equal to 4,396,037,485 years, 4 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,253,620,488,672,000 would take you about thirteen billion, one hundred eighty-eight million, one hundred twelve thousand, four hundred fifty-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 138253620488672000 cubic inches would be around 43090.1 feet tall.
Recreational maths with 138253620488672000
- 138253620488672000 backwards is 000276884026352831
- 138253620488672000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138253620488672000's digits is 65
- More coming soon!
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"Number 138253620488672000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138253620488672000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138253620488672000/
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