13395746400400
13,395,746,400,400 is an even composite number composed of five prime numbers multiplied together.
13395746400400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 13395746400400:
24 × 52 × 72 × 132 × 20112
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 2011 × 2011)See below for interesting mathematical facts about the number 13395746400400 from the Numbermatics database.
Names of 13395746400400
- Cardinal: 13395746400400 can be written as Thirteen trillion, three hundred ninety-five billion, seven hundred forty-six million, four hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.33957464004 × 1013
Factors of 13395746400400
Divisors of 13395746400400
- Number of divisors d(n): 405
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 169 175 182 196 200 208 245 260 280 325 338 350 364 392 400 455 490 520 560 637 650 676 700 728 784 845 910 980 1040 1183 1225 1274 1300 1352 1400 1456 1690 1820 1960 2011 2275 2366 2450 2548 2600 2704 2800 3185 3380 3640 3920 4022 4225 4550 4732 4900 5096 5200 5915 6370 6760 7280 8044 8281 8450 9100 9464 9800 10055 10192 11830 12740 13520 14077 15925 16088 16562 16900 18200 18928 19600 20110 23660 25480 26143 28154 29575 31850 32176 33124 33800 36400 40220 41405 47320 50275 50960 52286 56308 59150 63700 66248 67600 70385 80440 82810 94640 98539 100550 104572 112616 118300 127400 130715 132496 140770 160880 165620 183001 197078 201100 207025 209144 225232 236600 254800 261430 281540 331240 339859 351925 366002 394156 402200 414050 418288 473200 492695 522860 563080 653575 662480 679718 703850 732004 788312 804400 828100 915005 985390 1045720 1126160 1281007 1307150 1359436 1407700 1464008 1576624 1656200 1699295 1830010 1970780 2091440 2379013 2463475 2562014 2614300 2718872 2815400 2928016 3312400 3398590 3660020 3941560 4044121 4575025 4758026 4926950 5124028 5228600 5437744 5630800 6405035 6797180 7320040 7883120 8088242 8496475 9150050 9516052 9853900 10248056 10457200 11895065 12810070 13594360 14640080 16176484 16653091 16992950 18300100 19032104 19707800 20220605 20496112 23790130 25620140 27188720 28308847 32025175 32352968 33306182 33985900 36600200 38064208 39415600 40441210 47580260 51240280 52573573 56617694 59475325 64050350 64705936 66612364 67971800 73200400 80882420 83265455 95160520 101103025 102480560 105147146 113235388 118950650 128100700 133224728 135943600 141544235 161764840 166530910 190321040 198161929 202206050 210294292 226470776 237901300 256201400 262867865 266449456 283088470 323529680 333061820 368015011 396323858 404412100 416327275 420588584 452941552 475802600 512402800 525735730 566176940 666123640 683456449 707721175 736030022 792647716 808824200 832654550 841177168 951605200 990809645 1051471460 1132353880 1314339325 1332247280 1366912898 1415442350 1472060044 1585295432 1617648400 1665309100 1840075055 1981619290 2102942920 2264707760 2576105077 2628678650 2733825796 2830884700 2944120088 3170590864 3330618200 3417282245 3680150110 3963238580 4205885840 4784195143 4954048225 5152210154 5257357300 5467651592 5661769400 5888240176 6661236400 6834564490 7360300220 7926477160 9200375275 9568390286 9908096450 10304420308 10514714600 10935303184 11323538800 12880525385 13669128980 14720600440 15852954320 17086411225 18400750550 19136780572 19816192900 20608840616 21029429200 23920975715 25761050770 27338257960 29441200880 33489366001 34172822450 36801501100 38273561144 39632385800 41217681232 47841951430 51522101540 54676515920 64402626925 66978732002 68345644900 73603002200 76547122288 79264771600 95683902860 103044203080 119604878575 128805253850 133957464004 136691289800 147206004400 167446830005 191367805720 206088406160 239209757150 257610507700 267914928008 273382579600 334893660010 382735611440 478419514300 515221015400 535829856016 669787320020 837234150025 956839028600 1030442030800 1339574640040 1674468300050 1913678057200 2679149280080 3348936600100 6697873200200 13395746400400
- Sum of all divisors σ(n): 40559210003403
- Sum of proper divisors (its aliquot sum) s(n): 27163463603003
- 13395746400400 is an abundant number, because the sum of its proper divisors (27163463603003) is greater than itself. Its abundance is 13767717202603
Bases of 13395746400400
- Binary: 110000101110111100001011010010101000100100002
- Hexadecimal: 0xC2EF0B4A890
- Base-36: 4QXX5JEDS
Squares and roots of 13395746400400
- 13395746400400 squared (133957464004002) is 179446021623829557120160000
- 13395746400400 cubed (133957464004003) is 2403813398233515352655509510272064000000
-
13395746400400 is a
perfect square number . Itssquare root is 3660020 -
The
cube root of 13395746400400 is 23749.5638851183
Scales and comparisons
How big is 13395746400400?- 13,395,746,400,400 seconds is equal to 425,943 years, 15 weeks, 4 days, 2 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,395,746,400,400 would take you about one million, sixty-four thousand, eight hundred fifty-eight 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 13395746400400 cubic inches would be around 1979.1 feet tall.
Recreational maths with 13395746400400
- 13395746400400 backwards is 00400464759331
- The number of decimal digits it has is: 14
- The sum of 13395746400400's digits is 46
- More coming soon!
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