13772406968320
13,772,406,968,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13772406968320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1664 divisors.
13772406968320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 13772406968320:
212 × 5 × 7 × 11 × 13 × 37 × 67 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 13 × 37 × 67 × 271)See below for interesting mathematical facts about the number 13772406968320 from the Numbermatics database.
Names of 13772406968320
- Cardinal: 13772406968320 can be written as Thirteen trillion, seven hundred seventy-two billion, four hundred six million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.377240696832 × 1013
Factors of 13772406968320
Divisors of 13772406968320
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 37 40 44 52 55 56 64 65 67 70 74 77 80 88 91 104 110 112 128 130 134 140 143 148 154 160 176 182 185 208 220 224 256 259 260 268 271 280 286 296 308 320 335 352 364 370 385 407 416 440 448 455 469 481 512 518 520 536 542 560 572 592 616 640 670 704 715 728 737 740 770 814 832 871 880 896 910 938 962 1001 1024 1036 1040 1072 1084 1120 1144 1184 1232 1280 1295 1340 1355 1408 1430 1456 1474 1480 1540 1628 1664 1742 1760 1792 1820 1876 1897 1924 2002 2035 2048 2072 2080 2144 2168 2240 2288 2345 2368 2405 2464 2479 2560 2590 2680 2710 2816 2849 2860 2912 2948 2960 2981 3080 3256 3328 3367 3484 3520 3523 3584 3640 3685 3752 3794 3848 4004 4070 4096 4144 4160 4288 4336 4355 4480 4576 4690 4736 4810 4928 4958 5005 5120 5159 5180 5291 5360 5420 5632 5698 5720 5824 5896 5920 5962 6097 6160 6512 6656 6734 6968 7040 7046 7168 7280 7370 7504 7588 7696 8008 8140 8288 8320 8576 8672 8710 8960 9152 9380 9472 9485 9581 9620 9856 9916 10010 10027 10240 10318 10360 10582 10720 10840 11264 11396 11440 11648 11792 11840 11924 12194 12320 12395 13024 13312 13468 13936 14080 14092 14245 14336 14560 14740 14905 15008 15176 15392 16016 16280 16576 16640 16835 17152 17344 17353 17420 17615 17920 18157 18304 18760 18944 18970 19162 19240 19712 19832 20020 20054 20480 20636 20720 20867 21164 21440 21680 22528 22792 22880 23296 23584 23680 23848 24388 24640 24661 24790 25795 26048 26455 26624 26936 27269 27872 28160 28184 28490 28672 29120 29480 29810 30016 30352 30485 30784 32032 32227 32560 33152 33280 33670 34304 34688 34706 34840 35230 35840 36314 36608 37037 37520 37888 37940 38324 38480 38753 39424 39664 40040 40108 41272 41440 41734 42328 42880 43360 45056 45584 45760 46592 47168 47360 47696 47905 48776 49280 49322 49580 50135 51590 52096 52910 53248 53872 54538 55744 56320 56368 56980 58240 58960 59620 60032 60704 60970 61568 64064 64454 65120 66304 66560 67067 67340 68608 69376 69412 69680 70189 70460 71680 72628 73216 74074 75040 75776 75880 76648 76960 77506 78848 79328 80080 80216 82544 82880 83468 84656 85760 86720 86765 90785 91168 91520 93184 94336 94720 95392 95810 97552 98560 98644 99160 100270 103180 104192 104335 105820 107744 109076 110297 111488 112640 112736 113960 116480 117920 119240 120064 121408 121940 123136 123305 127099 128128 128908 130240 130351 132608 133120 134134 134680 136345 137216 138752 138824 139360 140378 140920 143360 145256 146432 148148 150080 151552 151760 153296 153920 155012 157696 158656 160160 160432 161135 165088 165760 166936 169312 171520 173440 173530 181570 182336 183040 185185 186368 188672 189440 190784 190883 191620 193765 195104 197120 197288 198320 199727 200540 206360 208384 208670 211640 215488 218152 220594 222976 225280 225472 225589 227920 232960 235840 236041 238480 240128 242816 243880 246272 246610 254198 256256 257816 260480 260702 265216 266240 268268 269360 271271 272690 274432 277504 277648 278720 280756 281840 290512 292864 296296 300160 303520 306592 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162686720 165002240 166172864 166849280 171691520 171983104 173613440 174670340 177694720 178955392 179683840 181502464 181751570 183534208 185927680 188106520 189629440 192137374 195464192 196218880 197652224 198415360 198518320 200740540 204520448 205352960 206917172 207716080 211492736 213678080 214978880 223694240 225888256 226878080 229417760 231003136 233588992 236476768 241705984 244330240 244538476 247065280 252528640 255650560 258646465 260298752 264365920 266958848 274706432 277781504 279234560 279472544 282360320 287494144 288753920 290802512 291986240 295595960 300970432 302132480 305673095 317629312 321184864 325373440 330004480 332345728 333698560 343383040 343966208 347226880 349340680 355389440 357910784 359367680 363004928 363503140 367068416 371855360 376213040 379258880 384274748 390928384 395304448 396830720 397036640 401481080 409040896 413834344 415432160 422985472 427356160 429957760 447388480 451776512 453756160 458835520 462006272 467177984 472953536 480343435 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8459709440 8943121408 9305680384 9343559680 9459070720 9631053824 9781539040 10164137984 10277915648 10635063296 10759692944 11178901760 11632100480 12038817280 12296791936 12705172480 12847394560 13242699008 13293829120 13449616180 13758648320 14316431360 14682736640 15134513152 15370989920 15650462464 15812177920 16553373760 16919418880 17886242816 18611360768 18687119360 18918141440 19262107648 19563078080 20555831296 21519385888 22357803520 23264200960 24077634560 24593583872 25410344960 25694789120 26485398016 26587658240 26899232360 28632862720 29365473280 30269026304 30741979840 31300924928 33106747520 33838837760 35772485632 37222721536 37836282880 39126156160 41111662592 43038771776 44715607040 46528401920 48155269120 49187167744 50820689920 51389578240 52970796032 53175316480 53798464720 61483959680 62601849856 66213495040 74445443072 75672565760 78252312320 86077543552 89431214080 93056803840 96310538240 98374335488 102779156480 105941592064 107596929440 122967919360 125203699712 132426990080 151345131520 156504624640 172155087104 178862428160 186113607680 196748670976 205558312960 211883184128 215193858880 245935838720 250407399424 264853980160 313009249280 344310174208 372227215360 393497341952 430387717760 491871677440 529707960320 626018498560 688620348416 860775435520 983743354880 1059415920640 1252036997120 1377240696832 1721550871040 1967486709760 2754481393664 3443101742080 6886203484160 13772406968320
- Sum of all divisors σ(n): 46424673533952
- Sum of proper divisors (its aliquot sum) s(n): 32652266565632
- 13772406968320 is an abundant number, because the sum of its proper divisors (32652266565632) is greater than itself. Its abundance is 18879859597312
Bases of 13772406968320
- Binary: 110010000110101000110110110011010000000000002
- Hexadecimal: 0xC86A36CD000
- Base-36: 4VQYFIKN4
Squares and roots of 13772406968320
- 13772406968320 squared (137724069683202) is 189679193701029293483622400
- 13772406968320 cubed (137724069683203) is 2612339049073374892330287509555642368000
-
The
square root of 13772406968320 is 3711119.3686433747 -
The
cube root of 13772406968320 is 23970.1057007281
Scales and comparisons
How big is 13772406968320?- 13,772,406,968,320 seconds is equal to 437,919 years, 48 weeks, 6 days, 10 hours, 18 minutes, 40 seconds.
-
To count from 1 to 13,772,406,968,320 would take you about one million, ninety-four thousand, seven hundred ninety-nine 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 13772406968320 cubic inches would be around 1997.5 feet tall.
Recreational maths with 13772406968320
- 13772406968320 backwards is 02386960427731
- The number of decimal digits it has is: 14
- The sum of 13772406968320's digits is 58
- More coming soon!
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"Number 13772406968320 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 13772406968320 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/13772406968320/
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The information we have on file for 13772406968320 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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