14094116400
14,094,116,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 14094116400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
14094116400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 14094116400:
24 × 3 × 52 × 7 × 13 × 19 × 6793
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 19 × 6793)See below for interesting mathematical facts about the number 14094116400 from the Numbermatics database.
Names of 14094116400
- Cardinal: 14094116400 can be written as Fourteen billion, ninety-four million, one hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.40941164 × 1010
Factors of 14094116400
Divisors of 14094116400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 35 38 39 40 42 48 50 52 56 57 60 65 70 75 76 78 80 84 91 95 100 104 105 112 114 120 130 133 140 150 152 156 168 175 182 190 195 200 208 210 228 240 247 260 266 273 280 285 300 304 312 325 336 350 364 380 390 399 400 420 455 456 475 494 520 525 532 546 560 570 600 624 650 665 700 728 741 760 780 798 840 910 912 950 975 988 1040 1050 1064 1092 1140 1200 1235 1300 1330 1365 1400 1425 1456 1482 1520 1560 1596 1680 1729 1820 1900 1950 1976 1995 2100 2128 2184 2275 2280 2470 2600 2660 2730 2800 2850 2964 3120 3192 3325 3458 3640 3705 3800 3900 3952 3990 4200 4368 4550 4560 4940 5187 5200 5320 5460 5700 5928 6175 6384 6650 6793 6825 6916 7280 7410 7600 7800 7980 8400 8645 9100 9880 9975 10374 10640 10920 11400 11856 12350 13300 13586 13650 13832 14820 15600 15960 17290 18200 18525 19760 19950 20379 20748 21840 22800 24700 25935 26600 27172 27300 27664 29640 31920 33965 34580 36400 37050 39900 40758 41496 43225 47551 49400 51870 53200 54344 54600 59280 67930 69160 74100 79800 81516 82992 86450 88309 95102 98800 101895 103740 108688 109200 129067 129675 135860 138320 142653 148200 159600 163032 169825 172900 176618 190204 203790 207480 237755 258134 259350 264927 271720 285306 296400 326064 339650 345800 353236 380408 387201 407580 414960 441545 475510 509475 516268 518700 529854 543440 570612 618163 645335 679300 691600 706472 713265 760816 774402 815160 883090 903469 951020 1018950 1032536 1037400 1059708 1141224 1188775 1236326 1290670 1324635 1358600 1412944 1426530 1548804 1630320 1677871 1766180 1806938 1854489 1902040 1936005 2037900 2065072 2074800 2119416 2207725 2282448 2377550 2472652 2581340 2649270 2710407 2717200 2853060 3090815 3097608 3226675 3355742 3532360 3566325 3613876 3708978 3804080 3872010 4075800 4238832 4415450 4517345 4755100 4945304 5033613 5162680 5298540 5420814 5706120 6181630 6195216 6453350 6623175 6711484 7064720 7132650 7227752 7417956 7744020 8151600 8389355 8830900 9034690 9272445 9510200 9680025 9890608 10067226 10325360 10597080 10841628 11412240 11745097 12363260 12906700 13246350 13422968 13552035 14265300 14455504 14835912 15454075 15488040 16778710 17661800 18069380 18544890 19020400 19360050 20134452 21194160 21683256 22586725 23490194 24726520 25168065 25813400 26492700 26845936 27104070 28530600 29671824 30908150 30976080 33557420 35235291 35323600 36138760 37089780 38720100 40268904 41946775 43366512 45173450 46362225 46980388 49453040 50336130 51626800 52985400 54208140 57061200 58725485 61816300 67114840 67760175 70470582 72277520 74179560 77440200 80537808 83893550 90346900 92724450 93960776 100672260 105970800 108416280 117450970 123632600 125840325 134229680 135520350 140941164 148359120 154880400 167787100 176176455 180693800 185448900 187921552 201344520 216832560 234901940 247265200 251680650 271040700 281882328 293627425 335574200 352352910 361387600 370897800 402689040 469803880 503361300 542081400 563764656 587254850 671148400 704705820 741795600 880882275 939607760 1006722600 1084162800 1174509700 1409411640 1761764550 2013445200 2349019400 2818823280 3523529100 4698038800 7047058200 14094116400
- Sum of all divisors σ(n): 58500144640
- Sum of proper divisors (its aliquot sum) s(n): 44406028240
- 14094116400 is an abundant number, because the sum of its proper divisors (44406028240) is greater than itself. Its abundance is 30311911840
Bases of 14094116400
- Binary: 11010010000001001100100110001100002
- Hexadecimal: 0x348132630
- Base-36: 6H39TTC
Squares and roots of 14094116400
- 14094116400 squared (140941164002) is 198644117096748960000
- 14094116400 cubed (140941164003) is 2799713308536809903818944000000
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The
square root of 14094116400 is 118718.6438601789 -
The
cube root of 14094116400 is 2415.5310141461
Scales and comparisons
How big is 14094116400?- 14,094,116,400 seconds is equal to 448 years, 7 weeks, 5 days, 8 hours, 20 minutes.
-
To count from 1 to 14,094,116,400 would take you about eight hundred ninety-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 14094116400 cubic inches would be around 201.3 feet tall.
Recreational maths with 14094116400
- 14094116400 backwards is 00461149041
- 14094116400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 14094116400's digits is 30
- More coming soon!
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