13488561616320
13,488,561,616,320 is an even composite number composed of six prime numbers multiplied together.
13488561616320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13488561616320:
26 × 33 × 5 × 72 × 17 × 374
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 17 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 13488561616320 from the Numbermatics database.
Names of 13488561616320
- Cardinal: 13488561616320 can be written as Thirteen trillion, four hundred eighty-eight billion, five hundred sixty-one million, six hundred sixteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.348856161632 × 1013
Factors of 13488561616320
Divisors of 13488561616320
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 37 40 42 45 48 49 51 54 56 60 63 64 68 70 72 74 80 84 85 90 96 98 102 105 108 111 112 119 120 126 135 136 140 144 147 148 153 160 168 170 180 185 189 192 196 204 210 216 222 224 238 240 245 252 255 259 270 272 280 288 294 296 306 315 320 333 336 340 357 360 370 378 392 408 420 432 441 444 448 459 476 480 490 504 510 518 540 544 555 560 576 588 592 595 612 629 630 666 672 680 714 720 735 740 756 765 777 784 816 833 840 864 882 888 918 945 952 960 980 999 1008 1020 1036 1071 1080 1088 1110 1120 1176 1184 1190 1224 1258 1260 1295 1323 1332 1344 1360 1369 1428 1440 1470 1480 1512 1530 1554 1568 1632 1665 1666 1680 1728 1764 1776 1785 1813 1836 1887 1890 1904 1960 1998 2016 2040 2072 2142 2160 2205 2220 2240 2295 2331 2352 2368 2380 2448 2499 2516 2520 2590 2646 2664 2720 2738 2856 2880 2940 2960 3024 3060 3108 3136 3145 3213 3264 3330 3332 3360 3528 3552 3570 3626 3672 3774 3780 3808 3885 3920 3996 4032 4080 4107 4144 4165 4284 4320 4403 4410 4440 4590 4662 4704 4760 4896 4995 4998 5032 5040 5180 5292 5328 5355 5439 5440 5476 5661 5712 5880 5920 6048 6120 6216 6290 6426 6615 6660 6664 6720 6845 6993 7056 7104 7140 7252 7344 7497 7548 7560 7616 7770 7840 7992 8160 8214 8288 8330 8568 8640 8806 8820 8880 9065 9180 9324 9408 9435 9520 9583 9792 9990 9996 10064 10080 10360 10584 10656 10710 10878 10952 11322 11424 11655 11760 11840 12096 12240 12321 12432 12495 12580 12852 13209 13230 13320 13328 13690 13986 14112 14280 14504 14688 14994 15096 15120 15540 15680 15984 16065 16317 16320 16428 16576 16660 16983 17136 17612 17640 17760 18130 18360 18648 18870 19040 19166 19980 19992 20128 20160 20535 20720 21168 21312 21420 21756 21904 22015 22491 22644 22848 23273 23310 23520 24480 24642 24864 24990 25160 25704 26418 26460 26640 26656 27195 27380 27972 28224 28305 28560 28749 29008 29376 29988 30192 30240 30821 31080 31968 32130 32634 32856 33320 33966 34272 34965 35224 35280 35520 36260 36720 36963 37296 37485 37740 38080 38332 39627 39960 39984 40256 41070 41440 42336 42840 43512 43808 44030 44982 45288 46546 46620 47040 47915 48951 48960 49284 49728 49980 50320 50653 51408 52836 52920 53280 53312 54390 54760 55944 56610 57120 57498 58016 59976 60384 60480 61605 61642 62160 63936 64260 65268 65712 66045 66640 67081 67932 68544 69819 69930 70448 70560 72520 73440 73926 74592 74970 75480 76664 79254 79920 79968 81585 82140 82880 84672 84915 85680 86247 87024 87616 88060 89964 90576 92463 93092 93240 95830 97902 98568 99960 100640 101306 102816 105672 105840 106560 108780 109520 111888 112455 113220 114240 114996 116032 116365 118881 119952 120768 123210 123284 124320 128520 130536 131424 132090 133280 134162 135864 139638 139860 140896 141120 143745 145040 146880 147852 149184 149940 150960 151959 153328 154105 158508 159840 159936 162911 163170 164280 169830 171360 172494 174048 176120 179928 181152 184815 184926 186184 186480 191660 195804 197136 198135 199920 201243 201280 202612 205632 209457 211344 211680 217560 219040 223776 224910 226440 229992 232730 237762 239904 244755 246420 246568 248640 253265 257040 258741 261072 262848 264180 266560 268324 271728 277389 279276 279720 281792 287490 290080 295704 299880 301920 303918 306656 308210 317016 319680 325822 326340 328560 335405 339660 342720 344988 348096 349095 352240 354571 359856 362304 369630 369852 372368 372960 383320 391608 394272 396270 399840 402486 405224 418914 422688 423360 431235 435120 438080 447552 449820 452880 455877 459984 462315 465460 475524 479808 488733 489510 492840 493136 506530 514080 517482 522144 528360 536648 543456 554778 558552 559440 574980 580160 591408 594405 599760 603729 603840 607836 613312 616420 628371 634032 651644 652680 657120 670810 679320 689976 698190 704480 709142 719712 739260 739704 744736 745920 759795 766640 783216 788544 792540 799680 804972 810448 814555 832167 837828 845376 861101 862470 870240 899640 905760 911754 919968 924630 930920 951048 977466 979020 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20072264310 20253095520 21410415264 21444454080 22040133360 22669851456 22784732460 22939730640 23417641695 24086717172 24303714624 24795150030 24978817808 26039694240 26448160032 26763019080 27527676768 28101170034 28337314320 29386844480 30108396465 30379643280 30586307520 31223522260 32115622896 33060200040 34409595960 35684025440 36455571936 37468226712 37783085760 39672240048 40144528620 40506191040 42151755051 42820830528 44080266720 45569464920 45879461280 46835283390 48173434344 49590300060 49957635616 52079388480 52896320064 53526038160 55055353536 56202340068 56674628640 60216792930 60759286560 62447044520 64231245792 66120400080 68819191920 70252925085 71368050880 72911143872 74936453424 79344480096 80289057240 84303510102 88160533440 91138929840 91758922560 93670566780 96346868688 99180600120 99915271232 107052076320 112404680136 113349257280 120433585860 121518573120 124894089040 128462491584 132240800160 137638383840 140505850170 149872906848 158688960192 160578114480 168607020204 182277859680 187341133560 192693737376 198361200240 210758775255 214104152640 224809360272 240867171720 249788178080 264481600320 275276767680 281011700340 299745813696 321156228960 337214040408 364555719360 374682267120 385387474752 396722400480 421517550510 449618720544 481734343440 499576356160 562023400680 642312457920 674428080816 749364534240 793444800960 843035101020 899237441088 963468686880 1124046801360 1348856161632 1498729068480 1686070202040 1926937373760 2248093602720 2697712323264 3372140404080 4496187205440 6744280808160 13488561616320
- Sum of all divisors σ(n): 60237707698080
- Sum of proper divisors (its aliquot sum) s(n): 46749146081760
- 13488561616320 is an abundant number, because the sum of its proper divisors (46749146081760) is greater than itself. Its abundance is 33260584465440
Bases of 13488561616320
- Binary: 110001000100100011001110110001110101110000002
- Hexadecimal: 0xC448CEC75C0
- Base-36: 4S4K5BLC0
Squares and roots of 13488561616320
- 13488561616320 squared (134885616163202) is 181941294477261210890342400
- 13488561616320 cubed (134885616163203) is 2454126361109559568253877269222227968000
-
The
square root of 13488561616320 is 3672677.7174590203 -
The
cube root of 13488561616320 is 23804.2889525399
Scales and comparisons
How big is 13488561616320?- 13,488,561,616,320 seconds is equal to 428,894 years, 27 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 13,488,561,616,320 would take you about one million, seventy-two thousand, two hundred thirty-six 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 13488561616320 cubic inches would be around 1983.7 feet tall.
Recreational maths with 13488561616320
- 13488561616320 backwards is 02361616588431
- 13488561616320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13488561616320's digits is 54
- More coming soon!
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MLA style:
"Number 13488561616320 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 13488561616320 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/13488561616320/
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The information we have on file for 13488561616320 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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