13398863904735232
13,398,863,904,735,232 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13398863904735232 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
13398863904735232 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13398863904735232:
215 × 7 × 11 × 37 × 73 × 113 × 127 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 37 × 73 × 113 × 127 × 137)See below for interesting mathematical facts about the number 13398863904735232 from the Numbermatics database.
Names of 13398863904735232
- Cardinal: 13398863904735232 can be written as Thirteen quadrillion, three hundred ninety-eight trillion, eight hundred sixty-three billion, nine hundred four million, seven hundred thirty-five thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.3398863904735232 × 1016
Factors of 13398863904735232
Divisors of 13398863904735232
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 73 74 77 88 112 113 127 128 137 146 148 154 176 224 226 254 256 259 274 292 296 308 352 407 448 452 508 511 512 518 548 584 592 616 704 791 803 814 889 896 904 959 1016 1022 1024 1036 1096 1168 1184 1232 1243 1397 1408 1507 1582 1606 1628 1778 1792 1808 1918 2032 2044 2048 2072 2192 2336 2368 2464 2486 2701 2794 2816 2849 3014 3164 3212 3256 3556 3584 3616 3836 4064 4088 4096 4144 4181 4384 4672 4699 4736 4928 4972 5069 5402 5588 5621 5632 5698 6028 6328 6424 6512 7112 7168 7232 7672 8128 8176 8192 8249 8288 8362 8701 8768 9271 9344 9398 9472 9779 9856 9944 10001 10138 10549 10804 11176 11242 11264 11396 12056 12656 12848 13024 14224 14336 14351 14464 15344 15481 16256 16352 16384 16498 16576 16724 17399 17402 17536 18542 18688 18796 18907 18944 19558 19712 19888 20002 20276 21098 21608 22352 22484 22528 22792 24112 25312 25696 26048 28448 28672 28702 28928 29267 29711 30688 30962 32512 32704 32768 32893 32996 33152 33448 34798 34804 35072 35483 37084 37376 37592 37814 37888 39116 39424 39776 40004 40552 42196 43216 44704 44968 45056 45584 45991 48224 50624 51392 51689 52096 55759 56896 57344 57404 57743 57856 58534 59422 61376 61924 64897 65024 65408 65786 65992 66304 66896 69596 69608 70007 70144 70966 74168 74752 75184 75628 75776 78232 78848 79552 80008 81104 84392 86432 89408 89936 90112 90739 91168 91982 96448 100457 101248 101981 102784 103378 104192 108367 110011 111518 113792 114688 114808 115486 115712 117068 118844 121793 122752 123848 129794 130048 130816 131572 131984 132608 133792 139192 139216 140014 140288 141932 148336 149504 150368 151256 151552 156464 157696 157861 159104 160016 162208 168784 170291 172864 178816 179872 180224 181478 182336 183964 191389 192896 200914 202496 203962 205568 206756 207977 208384 216734 220022 223036 227584 229376 229616 230972 231424 234136 237688 243586 245504 247696 259588 260096 261632 263144 263968 265216 267584 278384 278432 280028 280576 283864 296672 299008 300736 302512 303104 305213 312928 315392 315722 318208 320032 321937 324416 337568 340582 343027 345728 357632 359744 360448 361823 362956 364672 367928 370037 382778 385792 390313 401828 404992 407924 411136 413512 415954 416768 433468 440044 446072 455168 459232 461944 462848 468272 475376 487172 491008 495392 519176 520192 523264 526288 527936 530432 530987 535168 556768 556864 560056 561152 567728 572797 593344 598016 601472 605024 606208 610426 625856 630784 631444 635173 636416 640064 643763 643874 648832 675136 681164 686054 691456 713867 715264 719488 723646 725912 729344 735856 740074 765556 770077 771584 780626 803656 809984 815848 822272 827024 831908 833536 866936 880088 892144 910336 918464 923888 925696 936544 950752 974344 982016 990784 1038352 1040384 1046528 1047623 1052576 1055872 1060864 1061974 1070336 1105027 1113536 1113728 1120112 1122304 1130113 1135456 1145594 1186688 1192037 1196032 1202944 1210048 1212416 1220852 1251712 1261568 1262888 1270127 1270346 1272832 1280128 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29643504214016 29908178358784 32921041534976 38064954274816 43502804885504 45266432110592 45886520221696 48900963155968 51733065269248 52339312127872 52751432695808 59287008428032 59816356717568 76129908549632 87005609771008 90532864221184 91773040443392 97801926311936 104678624255744 105502865391616 118574016856064 119632713435136 152259817099264 174011219542016 181065728442368 183546080886784 209357248511488 239265426870272 304519634198528 362131456884736 418714497022976 478530853740544 609039268397056 837428994045952 957061707481088 1218078536794112 1674857988091904 1914123414962176 3349715976183808 6699431952367616 13398863904735232
- Sum of all divisors σ(n): 35624908743966720
- Sum of proper divisors (its aliquot sum) s(n): 22226044839231488
- 13398863904735232 is an abundant number, because the sum of its proper divisors (22226044839231488) is greater than itself. Its abundance is 8827180934496256
Bases of 13398863904735232
- Binary: 1011111001101000110010000110110110111110000000000000002
- Hexadecimal: 0x2F9A321B6F8000
- Base-36: 3NXI13OGQV4
Squares and roots of 13398863904735232
- 13398863904735232 squared (133988639047352322) is 179529553937616668228272022093824
- 13398863904735232 cubed (133988639047352323) is 2405492060087948916713199407340837790276982407168
-
The
square root of 13398863904735232 is 115753461.7397476889 -
The
cube root of 13398863904735232 is 237514.0610237481
Scales and comparisons
How big is 13398863904735232?- 13,398,863,904,735,232 seconds is equal to 426,042,426 years, 39 weeks, 4 days, 20 hours, 13 minutes, 52 seconds.
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To count from 1 to 13,398,863,904,735,232 would take you about one billion, two hundred seventy-eight million, one hundred twenty-seven thousand, two hundred eighty 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 13398863904735232 cubic inches would be around 19792.8 feet tall.
Recreational maths with 13398863904735232
- 13398863904735232 backwards is 23253740936889331
- The number of decimal digits it has is: 17
- The sum of 13398863904735232's digits is 76
- More coming soon!
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The information we have on file for 13398863904735232 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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