13312776400
13,312,776,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13312776400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
13312776400 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 13312776400:
24 × 52 × 7 × 11 × 31 × 73 × 191
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 31 × 73 × 191)See below for interesting mathematical facts about the number 13312776400 from the Numbermatics database.
Names of 13312776400
- Cardinal: 13312776400 can be written as Thirteen billion, three hundred twelve million, seven hundred seventy-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.33127764 × 1010
Factors of 13312776400
Divisors of 13312776400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 35 40 44 50 55 56 62 70 73 77 80 88 100 110 112 124 140 146 154 155 175 176 191 200 217 220 248 275 280 292 308 310 341 350 365 382 385 400 434 440 496 511 550 560 584 616 620 682 700 730 764 770 775 803 868 880 955 1022 1085 1100 1168 1232 1240 1337 1364 1400 1460 1528 1540 1550 1606 1705 1736 1825 1910 1925 2044 2101 2170 2200 2263 2387 2480 2555 2674 2728 2800 2920 3056 3080 3100 3212 3410 3472 3650 3820 3850 4015 4088 4202 4340 4400 4526 4774 4775 5110 5348 5425 5456 5621 5840 5921 6160 6200 6424 6685 6820 7300 7640 7700 8030 8176 8404 8525 8680 9052 9548 9550 10220 10505 10696 10850 11242 11315 11842 11935 12400 12775 12848 13370 13640 13943 14600 14707 15280 15400 15841 16060 16808 17050 17360 18104 19096 19100 20075 20440 21010 21392 21700 22484 22630 23684 23870 24893 25550 26740 27280 27886 28105 29200 29414 29605 30800 31682 32120 33425 33616 34100 36208 38192 38200 40150 40880 41447 42020 43400 44968 45260 47368 47740 49786 51100 52525 53480 55772 56210 56575 58828 59210 59675 63364 64240 65131 66850 68200 69715 73535 76400 79205 80300 82894 84040 86800 89936 90520 94736 95480 97601 99572 102200 105050 106960 111544 112420 113150 117656 118420 119350 124465 126728 130262 133700 136400 139430 140525 147070 148025 153373 158410 160600 165788 168080 174251 181040 190960 195202 199144 204400 207235 210100 223088 224840 226300 235312 236840 238700 248930 253456 260524 267400 278860 281050 294140 296050 306746 316820 321200 325655 331576 348502 348575 367675 390404 396025 398288 414470 420200 432233 449680 452600 455917 473680 477400 488005 497860 521048 534800 557720 562100 588280 592100 613492 622325 633640 651310 663152 697004 697150 735350 766865 780808 792050 828940 840400 864466 871255 905200 911834 954800 976010 995720 1036175 1042096 1073611 1115440 1124200 1176560 1184200 1226984 1244650 1267280 1302620 1394008 1394300 1470700 1533730 1561616 1584100 1628275 1657880 1728932 1742510 1823668 1952020 1991440 2072350 2147222 2161165 2248400 2279585 2368400 2440025 2453968 2489300 2605240 2788016 2788600 2941400 3025631 3067460 3168200 3256550 3315760 3457864 3485020 3647336 3834325 3904040 4144700 4294444 4322330 4356275 4559170 4754563 4880050 4978600 5210480 5368055 5577200 5882800 6051262 6134920 6336400 6513100 6915728 6970040 7294672 7668650 7808080 8289400 8588888 8644660 8712550 9118340 9509126 9760100 9957200 10736110 10805825 11397925 12102524 12269840 13026200 13940080 15128155 15337300 16578800 17177776 17289320 17425100 18236680 19018252 19520200 21472220 21611650 22795850 23772815 24205048 26052400 26840275 30256310 30674600 33281941 34578640 34850200 36473360 38036504 39040400 42944440 43223300 45591700 47545630 48410096 53680550 60512620 61349200 66563882 69700400 75640775 76073008 85888880 86446600 91183400 95091260 107361100 118864075 121025240 133127764 151281550 166409705 172893200 182366800 190182520 214722200 237728150 242050480 266255528 302563100 332819410 380365040 429444400 475456300 532511056 605126200 665638820 832048525 950912600 1210252400 1331277640 1664097050 1901825200 2662555280 3328194100 6656388200 13312776400
- Sum of all divisors σ(n): 41944743936
- Sum of proper divisors (its aliquot sum) s(n): 28631967536
- 13312776400 is an abundant number, because the sum of its proper divisors (28631967536) is greater than itself. Its abundance is 15319191136
Bases of 13312776400
- Binary: 11000110011000000011011000110100002
- Hexadecimal: 0x31980D8D0
- Base-36: 646300G
Squares and roots of 13312776400
- 13312776400 squared (133127764002) is 177230015476396960000
- 13312776400 cubed (133127764003) is 2359423567405812206119744000000
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The
square root of 13312776400 is 115381.0053691681 -
The
cube root of 13312776400 is 2370.0429291897
Scales and comparisons
How big is 13312776400?- 13,312,776,400 seconds is equal to 423 years, 15 weeks, 6 days, 1 hour, 26 minutes, 40 seconds.
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To count from 1 to 13,312,776,400 would take you about eight hundred forty-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 13312776400 cubic inches would be around 197.5 feet tall.
Recreational maths with 13312776400
- 13312776400 backwards is 00467721331
- The number of decimal digits it has is: 11
- The sum of 13312776400's digits is 34
- More coming soon!
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