13688248005772800
13,688,248,005,772,800 is an even composite number composed of seven prime numbers multiplied together.
13688248005772800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13688248005772800:
29 × 3 × 52 × 29 × 53 × 972 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 53 × 97 × 97 × 157 × 157)See below for interesting mathematical facts about the number 13688248005772800 from the Numbermatics database.
Names of 13688248005772800
- Cardinal: 13688248005772800 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, two hundred forty-eight billion, five million, seven hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36882480057728 × 1016
Factors of 13688248005772800
Divisors of 13688248005772800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 53 58 60 64 75 80 87 96 97 100 106 116 120 128 145 150 157 159 160 174 192 194 200 212 232 240 256 265 290 291 300 314 318 320 348 384 388 400 424 435 464 471 480 485 512 530 580 582 600 628 636 640 696 725 768 776 785 795 800 848 870 928 942 960 970 1060 1160 1164 1200 1256 1272 1280 1325 1392 1450 1455 1536 1537 1552 1570 1590 1600 1696 1740 1856 1884 1920 1940 2120 2175 2320 2328 2355 2400 2425 2512 2544 2560 2650 2784 2813 2900 2910 3074 3104 3140 3180 3200 3392 3480 3712 3768 3840 3880 3925 3975 4240 4350 4553 4611 4640 4656 4710 4800 4850 5024 5088 5141 5300 5568 5626 5800 5820 6148 6208 6280 6360 6400 6784 6960 7275 7424 7536 7680 7685 7760 7850 7950 8321 8439 8480 8700 9106 9222 9280 9312 9409 9420 9600 9700 10048 10176 10282 10600 11136 11252 11600 11640 11775 12296 12416 12560 12720 12800 13568 13659 13920 14065 14550 14848 15072 15229 15370 15423 15520 15700 15900 16642 16878 16960 17400 18212 18444 18560 18624 18818 18840 19200 19400 20096 20352 20564 21200 22272 22504 22765 23055 23200 23280 23550 24592 24649 24832 24963 25120 25440 25705 27136 27318 27840 28130 28227 29100 30144 30458 30740 30846 31040 31400 31800 33284 33756 33920 34800 36424 36888 37120 37248 37636 37680 38400 38425 38800 40192 40704 41128 41605 42195 42400 44544 45008 45530 45687 46110 46400 46560 47045 47100 49184 49298 49664 49926 50240 50880 51410 54636 55680 56260 56454 58200 60288 60916 61480 61692 62080 62800 63600 66568 67512 67840 68295 69600 70325 72848 73776 73947 74240 74496 75272 75360 76145 76850 77115 77600 80384 81408 82256 83210 84390 84800 90016 91060 91374 92220 92800 93120 94090 94200 98368 98596 99852 100480 101760 102820 109272 111360 112520 112908 113825 115275 116400 120576 121832 122960 123245 123384 124160 124815 125600 127200 128525 133136 135024 135680 136590 139200 140650 141135 145696 147552 147894 148992 149089 150544 150720 152290 153700 154230 155200 164512 166420 168780 169600 180032 182120 182748 184440 185600 186240 188180 188400 196736 197192 199704 200960 203520 205640 208025 210975 218544 222720 225040 225816 227650 228435 230550 232800 235225 241152 241309 243664 245920 246490 246768 248320 249630 251200 254400 257050 266272 270048 272861 273180 278400 281300 282270 291392 295104 295788 298178 301088 301440 304580 307400 308460 310400 329024 332840 337560 339200 341475 360064 364240 365496 368880 369735 371200 372480 376360 376800 380725 385575 393472 394384 399408 401920 407040 411280 416050 421950 437088 441641 447267 450080 451632 455300 456870 461100 465600 470450 482618 487328 491840 492980 493536 498677 499260 502400 508800 514100 532544 540096 545722 546360 556800 562600 564540 582784 590208 591576 596356 602176 602880 609160 614800 616225 616920 620800 624075 658048 665680 675120 678400 682950 705675 714821 720128 723927 728480 730992 737760 739470 744960 745445 752720 753600 761450 771150 786944 788768 798816 807137 818583 822560 832100 843900 874176 883282 894534 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1331282630400 1345150157800 1362285828600 1411159588224 1425859167268 1453104883840 1454803699200 1469957904400 1475026724760 1484303622400 1503211948800 1573361839744 1614180189360 1622022515200 1645024396800 1721792201984 1743725860608 1763949485280 1781164346880 1782323959085 1816381104800 1843783405950 1881546117632 1966702299680 2017725236700 2138788750902 2152240252480 2179657325760 2204936856600 2226455433600 2351932647040 2360042759616 2433033772800 2458377874600 2582688302976 2662565260800 2690300315600 2724571657200 2822319176448 2851718334536 2906209767680 2939915808800 2950053449520 2968607244800 3006423897600 3146723679488 3228360378720 3443584403968 3487451721216 3527898970560 3564647918170 3632762209600 3687566811900 3933404599360 4035450473400 4277577501804 4304480504960 4359314651520 4409873713200 4452910867200 4703865294080 4720085519232 4866067545600 4916755749200 5165376605952 5346971877255 5380600631200 5449143314400 5644638352896 5703436669072 5812419535360 5879831617600 5900106899040 6293447358976 6456720757440 7055797941120 7129295836340 7265524419200 7375133623800 7866809198720 8070900946800 8555155003608 8608961009920 8718629303040 8819747426400 8905821734400 8911619795425 9407730588160 9440171038464 9833511498400 10330753211904 10693943754510 10761201262400 10898286628800 11406873338144 11759663235200 11800213798080 12913441514880 14111595882240 14258591672680 14531048838400 14750267247600 15733618397440 16141801893600 17110310007216 17217922019840 17437258606080 17639494852800 17823239590850 18880342076928 19667022996800 21387887509020 21522402524800 21796573257600 22813746676288 23519326470400 23600427596160 25826883029760 26734859386275 28223191764480 28517183345360 29062097676800 29500534495200 31467236794880 32283603787200 34220620014432 35278989705600 35646479181700 39334045993600 42775775018040 43044805049600 43593146515200 45627493352576 47038652940800 47200855192320 51653766059520 53469718772550 57034366690720 59001068990400 64567207574400 68441240028864 70557979411200 71292958363400 78668091987200 85551550036080 86089610099200 87186293030400 91254986705152 94401710384640 106939437545100 114068733381440 118002137980800 129134415148800 136882480057728 141115958822400 142585916726800 157336183974400 171103100072160 182509973410304 213878875090200 228137466762880 236004275961600 258268830297600 273764960115456 285171833453600 342206200144320 427757750180400 456274933525760 472008551923200 547529920230912 570343666907200 684412400288640 855515500360800 912549867051520 1140687333814400 1368824800577280 1711031000721600 2281374667628800 2737649601154560 3422062001443200 4562749335257600 6844124002886400 13688248005772800
- Sum of all divisors σ(n): 48465207221135760
- Sum of proper divisors (its aliquot sum) s(n): 34776959215362960
- 13688248005772800 is an abundant number, because the sum of its proper divisors (34776959215362960) is greater than itself. Its abundance is 21088711209590160
Bases of 13688248005772800
- Binary: 1100001010000101100011100101111111101101000110000000002
- Hexadecimal: 0x30A16397FB4600
- Base-36: 3QS2UBMJOQO
Squares and roots of 13688248005772800
- 13688248005772800 squared (136882480057728002) is 187368133467543036142125219840000
- 13688248005772800 cubed (136882480057728003) is 2564741479282467790267805695265700789092352000000
-
The
square root of 13688248005772800 is 116996786.3053203697 -
The
cube root of 13688248005772800 is 239211.8125172469
Scales and comparisons
How big is 13688248005772800?- 13,688,248,005,772,800 seconds is equal to 435,243,946 years, 2 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 13,688,248,005,772,800 would take you about one billion, three hundred five million, seven hundred thirty-one thousand, eight hundred thirty-eight 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 13688248005772800 cubic inches would be around 19934.3 feet tall.
Recreational maths with 13688248005772800
- 13688248005772800 backwards is 00827750084288631
- The number of decimal digits it has is: 17
- The sum of 13688248005772800's digits is 69
- More coming soon!
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The information we have on file for 13688248005772800 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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