13967408910000
13,967,408,910,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13967408910000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2400 divisors.
13967408910000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13967408910000:
24 × 3 × 54 × 7 × 132 × 29 × 41 × 331
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 29 × 41 × 331)See below for interesting mathematical facts about the number 13967408910000 from the Numbermatics database.
Names of 13967408910000
- Cardinal: 13967408910000 can be written as Thirteen trillion, nine hundred sixty-seven billion, four hundred eight million, nine hundred ten thousand.
Scientific notation
- Scientific notation: 1.396740891 × 1013
Factors of 13967408910000
Divisors of 13967408910000
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 35 39 40 41 42 48 50 52 56 58 60 65 70 75 78 80 82 84 87 91 100 104 105 112 116 120 123 125 130 140 145 150 156 164 168 169 174 175 182 195 200 203 205 208 210 232 240 246 250 260 273 280 287 290 300 312 325 328 331 336 338 348 350 364 375 377 390 400 406 410 420 435 455 464 492 500 507 520 525 533 546 560 574 580 600 609 615 624 625 650 656 662 676 696 700 725 728 750 754 780 812 820 840 845 861 870 875 910 975 984 993 1000 1014 1015 1025 1040 1050 1066 1092 1131 1148 1160 1183 1189 1200 1218 1230 1250 1300 1324 1352 1365 1392 1400 1435 1450 1456 1500 1508 1560 1599 1624 1625 1640 1655 1680 1690 1722 1740 1750 1820 1875 1885 1950 1968 1986 2000 2028 2030 2050 2100 2132 2175 2184 2262 2275 2296 2317 2320 2366 2378 2436 2460 2500 2535 2600 2625 2639 2648 2665 2704 2730 2800 2870 2900 3000 3016 3045 3075 3120 3198 3248 3250 3280 3310 3380 3444 3480 3500 3549 3567 3625 3640 3731 3750 3770 3900 3972 4056 4060 4100 4200 4225 4264 4303 4305 4350 4368 4375 4524 4550 4592 4634 4732 4756 4872 4875 4901 4920 4965 5000 5070 5075 5125 5200 5250 5278 5296 5330 5460 5655 5740 5800 5915 5945 6000 6032 6090 6150 6396 6500 6620 6760 6825 6888 6929 6951 6960 7000 7098 7134 7175 7250 7280 7462 7500 7540 7800 7917 7944 7995 8112 8120 8125 8200 8275 8323 8400 8450 8528 8606 8610 8700 8750 9048 9100 9268 9425 9464 9512 9599 9744 9750 9802 9840 9930 10000 10140 10150 10250 10500 10556 10660 10875 10920 11193 11310 11375 11480 11585 11600 11830 11890 12180 12300 12675 12792 12909 13000 13125 13195 13240 13325 13520 13571 13650 13776 13858 13902 14000 14196 14268 14350 14500 14703 14924 15000 15080 15225 15375 15457 15600 15834 15888 15990 16240 16250 16400 16550 16646 16900 17212 17220 17400 17500 17745 17835 18096 18125 18200 18536 18655 18850 18928 19024 19198 19500 19604 19860 20280 20300 20500 20787 21000 21112 21125 21320 21515 21525 21750 21840 22386 22620 22750 22960 23170 23660 23780 24360 24375 24505 24600 24825 24969 25350 25375 25584 25625 25818 26000 26250 26390 26480 26650 27142 27300 27716 27804 28275 28392 28536 28700 28797 29000 29406 29575 29725 29848 30000 30121 30160 30450 30750 30914 31668 31980 32500 33100 33292 33800 34125 34307 34424 34440 34645 34755 34800 35000 35490 35670 35875 36250 36400 37072 37310 37700 38396 39000 39208 39585 39720 39975 40560 40600 40713 41000 41375 41574 41615 42000 42224 42250 42640 43030 43050 43500 44772 45240 45500 46340 46371 47125 47320 47560 47995 48503 48720 48750 49010 49200 49650 49938 50700 50750 51250 51636 52500 52780 53300 54284 54375 54600 55432 55608 55939 55965 56550 56784 56875 57072 57400 57594 57925 58000 58812 59150 59450 59696 60242 60900 61500 61828 63336 63375 63960 64545 65000 65975 66200 66584 66625 67193 67600 67855 68250 68614 68848 68880 69290 69510 70000 70980 71340 71750 72500 73515 74620 75400 76125 76792 76875 77285 78000 78416 79170 79440 79950 81200 81426 82000 82750 83148 83230 84500 86060 86100 87000 88725 89175 89544 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231700 231855 235248 235625 236600 237800 239975 240968 242515 243600 245050 246000 247312 248250 249574 249690 253500 253750 258180 263900 266500 268772 271420 273000 274456 277160 278040 279695 279825 282750 283920 284991 285360 287000 287970 289625 290000 291018 294060 295750 297250 298480 301210 304500 307500 309140 316680 316875 319800 322725 324597 325704 329875 331000 332592 332920 333125 335634 335965 338000 339275 341250 343070 344240 344400 346450 347550 352846 354900 356700 358750 361452 367575 370968 373100 374361 377000 379988 380625 383960 386425 388024 390000 391573 392080 393559 395850 397200 399504 399750 401882 403158 406000 407130 410000 411684 413750 415740 416150 422500 430300 430500 432796 435000 443625 445875 447512 447720 451815 452400 455000 460752 463400 463710 466375 471250 473200 474985 475600 479950 481936 485030 490100 496500 499148 499380 507000 507500 514605 516360 519675 527800 529269 533000 537544 537875 538125 540995 542840 546000 548912 554320 556080 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21488321400 22347854256 22383668125 22711234000 22934990000 23279014850 24081739500 24333465000 24941801625 25581335000 26205270000 26604588400 26860401750 27549130000 27934817820 28389042500 30102174375 30697602000 32108986000 33255735500 34066851000 34402485000 34918522275 35813869000 37048830000 37246423760 38372002500 39906882600 40136232500 41323695000 41569669375 42197610000 42583563750 42976642800 44767336250 46558029700 48163479000 48666930000 49883603250 51162670000 53720803500 55869635640 56778085000 58197537125 60204348750 66511471000 67151004375 68133702000 68804970000 69837044550 71627738000 76744005000 79813765200 80272465000 82647390000 83139338750 85167127500 89534672500 93116059400 96326958000 99767206500 107441607000 111739271280 113556170000 116395074250 120408697500 124709008125 133022942000 134302008750 139674089100 153488010000 160544930000 166278677500 170334255000 174592611375 179069345000 186232118800 199534413000 214883214000 232790148500 240817395000 249418016250 268604017500 279348178200 290987685625 332557355000 340668510000 349185222750 358138690000 399068826000 465580297000 481634790000 498836032500 537208035000 558696356400 581975371250 665114710000 698370445500 872963056875 931160594000 997672065000 1074416070000 1163950742500 1396740891000 1745926113750 1995344130000 2327901485000 2793481782000 3491852227500 4655802970000 6983704455000 13967408910000
- Sum of all divisors σ(n): 59309248965120
- Sum of proper divisors (its aliquot sum) s(n): 45341840055120
- 13967408910000 is an abundant number, because the sum of its proper divisors (45341840055120) is greater than itself. Its abundance is 31374431145120
Bases of 13967408910000
- Binary: 110010110100000010100111001001001110101100002
- Hexadecimal: 0xCB40A724EB0
- Base-36: 4Y8JEMXTC
Squares and roots of 13967408910000
- 13967408910000 squared (139674089100002) is 195088511659147388100000000
- 13967408910000 cubed (139674089100003) is 2724881015986614111551167971000000000000
-
The
square root of 13967408910000 is 3737299.6815882989 -
The
cube root of 13967408910000 is 24082.7059286939
Scales and comparisons
How big is 13967408910000?- 13,967,408,910,000 seconds is equal to 444,120 years, 20 weeks, 5 days, 8 hours, 20 minutes.
-
To count from 1 to 13,967,408,910,000 would take you about one million, one hundred ten thousand, three hundred 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 13967408910000 cubic inches would be around 2006.9 feet tall.
Recreational maths with 13967408910000
- 13967408910000 backwards is 00001980476931
- 13967408910000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13967408910000's digits is 48
- More coming soon!
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