138355516353600
138,355,516,353,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138355516353600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.
138355516353600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138355516353600:
26 × 32 × 52 × 72 × 132 × 281 × 4129
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 281 × 4129)See below for interesting mathematical facts about the number 138355516353600 from the Numbermatics database.
Names of 138355516353600
- Cardinal: 138355516353600 can be written as One hundred thirty-eight trillion, three hundred fifty-five billion, five hundred sixteen million, three hundred fifty-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.383555163536 × 1014
Factors of 138355516353600
Divisors of 138355516353600
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 130 140 144 147 150 156 160 168 169 175 180 182 192 195 196 200 208 210 224 225 234 240 245 252 260 273 280 281 288 294 300 312 315 320 325 336 338 350 360 364 390 392 400 416 420 441 448 450 455 468 480 490 504 507 520 525 546 560 562 576 585 588 600 624 630 637 650 672 676 700 720 728 735 780 784 800 819 832 840 843 845 882 900 910 936 960 975 980 1008 1014 1040 1050 1092 1120 1124 1170 1176 1183 1200 1225 1248 1260 1274 1300 1344 1352 1365 1400 1405 1440 1456 1470 1521 1560 1568 1575 1600 1638 1680 1686 1690 1764 1800 1820 1872 1911 1950 1960 1967 2016 2028 2080 2100 2184 2205 2240 2248 2275 2340 2352 2366 2400 2450 2496 2520 2529 2535 2548 2600 2704 2730 2800 2810 2880 2912 2925 2940 3042 3120 3136 3150 3185 3276 3360 3372 3380 3528 3549 3600 3640 3653 3675 3744 3822 3900 3920 3934 4032 4056 4095 4129 4160 4200 4215 4225 4368 4410 4496 4550 4680 4704 4732 4800 4900 5040 5058 5070 5096 5200 5408 5460 5600 5620 5733 5824 5850 5880 5901 5915 6084 6240 6300 6370 6552 6720 6744 6760 6825 7025 7056 7098 7200 7280 7306 7350 7488 7605 7644 7800 7840 7868 8112 8190 8258 8281 8400 8430 8450 8736 8820 8992 9100 9360 9408 9464 9555 9800 9835 10080 10116 10140 10192 10400 10647 10816 10920 10959 11025 11200 11240 11466 11700 11760 11802 11830 12168 12387 12480 12600 12645 12675 12740 13104 13488 13520 13650 13769 14050 14112 14196 14400 14560 14612 14700 15210 15288 15600 15680 15736 15925 16224 16380 16516 16562 16800 16860 16900 17472 17640 17703 17745 17984 18200 18265 18720 18928 19110 19600 19670 20160 20232 20280 20384 20475 20645 20800 21075 21294 21840 21918 22050 22480 22932 23400 23520 23604 23660 24336 24774 24843 25200 25290 25350 25480 25571 26208 26976 27040 27300 27538 28100 28224 28392 28665 28903 29120 29224 29400 29505 29575 30420 30576 31200 31472 31850 32448 32760 32877 33032 33124 33600 33720 33800 35280 35406 35490 36400 36530 37161 37440 37856 38025 38220 39200 39340 40464 40560 40768 40950 41290 41307 41405 42150 42588 43680 43836 44100 44960 45864 46800 47040 47208 47320 47489 47775 48672 49175 49548 49686 50400 50580 50700 50960 51142 52416 53235 53677 53952 54080 54600 54795 55076 56200 56784 57330 57806 58448 58800 59010 59150 60840 61152 61935 62400 62944 63225 63700 65520 65754 66064 66248 67440 67600 68845 70560 70812 70980 72800 73060 74322 74529 75712 76050 76440 76713 78400 78680 80928 81120 81900 82580 82614 82810 84300 85176 86709 87360 87672 88200 88515 88725 89920 91325 91728 93600 94416 94640 94978 95550 97344 98350 99096 99372 100800 101160 101400 101920 102284 103225 106470 107354 109200 109590 110152 112400 113568 114660 115612 116896 117600 118020 118300 121680 122304 123870 123921 124215 125888 126450 127400 127855 131040 131508 132128 132496 134880 135200 137690 141120 141624 141960 142467 143325 144515 145600 146120 147525 148644 149058 152100 152880 153426 157360 161031 161856 162240 163800 164385 165160 165228 165620 168600 170352 173418 175344 176400 177030 177450 178997 182650 183456 185805 187200 188832 189280 189956 191100 196700 198192 198744 202320 202321 202800 203840 204568 206450 206535 207025 212940 214708 218400 219180 220304 224800 227136 229320 230139 231224 233792 235200 236040 236600 237445 243360 247740 247842 248430 252900 254800 255710 260127 262080 263016 264256 264992 266175 268385 269760 270400 273975 275380 283248 283920 284934 286650 289030 292240 295050 297288 298116 304200 305760 306852 309675 314720 322062 327600 328770 330320 330456 331240 332423 337200 340704 344225 346836 350688 352800 354060 354900 357994 365300 366912 371610 372645 375739 377664 378560 379912 382200 383565 393400 396384 397488 404640 404642 405600 409136 412900 413070 414050 425880 427401 429416 433545 436800 438360 440608 442575 449600 458640 460278 462448 472080 473200 474890 483093 486720 495480 495684 496860 505800 509600 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70338340800 70589549160 70951546848 72399537600 73907861300 76019514480 76864175752 78432832400 81867169440 82061397600 82354474020 84466127200 86472197721 87844772288 88236936450 88689433560 90963521600 94119398880 95024393100 96080219690 98473677120 98825368824 101359352640 102333961800 102943092525 106427320272 108599306400 109805965360 110861791950 112943278656 115296263628 116953099200 117649248600 118252578080 123092096400 123531711030 126699190800 131767158432 133034150340 136445282400 137257456700 141179098320 141903093696 144120329535 147815722600 152039028960 153728351504 156865664800 163734338880 164122795200 164708948040 166292687925 168932254400 172944395442 176473872900 177378867120 188238797760 190048786200 192160439380 197650737648 204667923600 205886185050 212854640544 217198612800 219611930720 221723583900 230592527256 235298497200 236505156160 240200549225 246184192800 247063422060 253398381600 263534316864 266068300680 272890564800 274514913400 282358196640 288240659070 295631445200 304078057920 307456703008 308829277575 313731329600 329417896080 332585375850 345888790884 352947745800 354757734240 380097572400 384320878760 395301475296 409335847200 411772370100 425709281088 432360988605 439223861440 443447167800 461185054512 470596994400 480401098450 492368385600 494126844120 506796763200 532136601360 549029826800 564716393280 576481318140 591262890400 614913406016 617658555150 658835792160 665170751700 691777581768 705895491600 709515468480 720601647675 760195144800 768641757520 790602950592 818671694400 823544740200 864721977210 886894335600 922370109024 941193988800 960802196900 988253688240 1064273202720 1098059653600 1152962636280 1182525780800 1235317110300 1317671584320 1330341503400 1383555163536 1411790983200 1441203295350 1520390289600 1537283515040 1647089480400 1729443954420 1773788671200 1844740218048 1921604393800 1976507376480 2128546405440 2161804943025 2196119307200 2305925272560 2470634220600 2660683006800 2767110327072 2823581966400 2882406590700 3074567030080 3294178960800 3458887908840 3547577342400 3843208787600 3953014752960 4323609886050 4611850545120 4941268441200 5321366013600 5534220654144 5764813181400 6588357921600 6917775817680 7686417575200 8647219772100 9223701090240 9882536882400 10642732027200 11529626362800 13835551635360 15372835150400 17294439544200 19765073764800 23059252725600 27671103270720 34588879088400 46118505451200 69177758176800 138355516353600
- Sum of all divisors σ(n): 621775882351260
- Sum of proper divisors (its aliquot sum) s(n): 483420365997660
- 138355516353600 is an abundant number, because the sum of its proper divisors (483420365997660) is greater than itself. Its abundance is 345064849644060
Bases of 138355516353600
- Binary: 111110111010101011001110110011110101100010000002
- Hexadecimal: 0x7DD56767AC40
- Base-36: 1D1JNA7BK0
Squares and roots of 138355516353600
- 138355516353600 squared (1383555163536002) is 19142248905471277040232960000
- 138355516353600 cubed (1383555163536003) is 2648435731485612971055027502433734656000000
-
The
square root of 138355516353600 is 11762462.1722494819 -
The
cube root of 138355516353600 is 51720.8308912365
Scales and comparisons
How big is 138355516353600?- 138,355,516,353,600 seconds is equal to 4,399,277 years, 23 weeks, 5 days, 20 hours.
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To count from 1 to 138,355,516,353,600 would take you about ten million, nine hundred ninety-eight thousand, one hundred ninety-three 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 138355516353600 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138355516353600
- 138355516353600 backwards is 006353615553831
- The number of decimal digits it has is: 15
- The sum of 138355516353600's digits is 54
- More coming soon!
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The information we have on file for 138355516353600 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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