13135680958400
13,135,680,958,400 is an even composite number composed of seven prime numbers multiplied together.
13135680958400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13135680958400:
26 × 52 × 72 × 11 × 13 × 17 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 13 × 17 × 41 × 41 × 41)See below for interesting mathematical facts about the number 13135680958400 from the Numbermatics database.
Names of 13135680958400
- Cardinal: 13135680958400 can be written as Thirteen trillion, one hundred thirty-five billion, six hundred eighty million, nine hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.31356809584 × 1013
Factors of 13135680958400
Divisors of 13135680958400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 32 34 35 40 41 44 49 50 52 55 56 64 65 68 70 77 80 82 85 88 91 98 100 104 110 112 119 130 136 140 143 154 160 164 170 175 176 182 187 196 200 205 208 220 221 224 238 245 260 272 275 280 286 287 308 320 325 328 340 350 352 364 374 385 392 400 410 416 425 440 442 448 451 455 476 490 520 533 539 544 550 560 572 574 595 616 637 650 656 680 697 700 704 715 728 748 770 784 800 820 832 833 850 880 884 902 910 935 952 980 1001 1025 1040 1066 1078 1088 1100 1105 1120 1144 1148 1190 1225 1232 1274 1300 1309 1312 1360 1394 1400 1430 1435 1456 1496 1540 1547 1568 1600 1640 1666 1681 1700 1760 1768 1804 1820 1870 1904 1925 1960 2002 2009 2050 2080 2132 2156 2200 2210 2240 2255 2275 2288 2296 2380 2431 2450 2464 2548 2600 2618 2624 2665 2695 2720 2788 2800 2860 2870 2912 2975 2992 3080 3094 3136 3157 3185 3280 3332 3362 3400 3485 3520 3536 3575 3608 3640 3731 3740 3808 3850 3920 4004 4018 4100 4160 4165 4264 4312 4400 4420 4510 4550 4576 4592 4675 4760 4862 4879 4900 4928 5005 5096 5200 5236 5330 5390 5440 5525 5576 5600 5720 5740 5824 5863 5950 5984 6160 6188 6314 6370 6545 6560 6664 6724 6800 6970 7007 7072 7150 7175 7216 7280 7462 7480 7616 7667 7700 7735 7840 8008 8036 8200 8330 8405 8528 8624 8800 8840 9020 9061 9100 9152 9163 9184 9350 9520 9724 9758 9800 10010 10045 10192 10400 10472 10660 10780 10829 11050 11152 11200 11275 11440 11480 11726 11767 11900 11968 12155 12320 12376 12628 12740 13090 13120 13325 13328 13448 13475 13600 13940 14014 14144 14300 14350 14432 14560 14924 14960 15334 15400 15470 15680 15785 15925 16016 16072 16400 16660 16810 17017 17056 17248 17425 17600 17680 18040 18122 18200 18326 18368 18491 18655 18700 19040 19448 19516 19600 20020 20090 20384 20800 20825 20944 21320 21560 21658 21853 22099 22100 22304 22550 22880 22960 23452 23534 23800 24310 24395 24640 24752 25025 25256 25480 26117 26180 26650 26656 26896 26950 27200 27880 28028 28577 28600 28700 28864 29120 29315 29848 29920 30668 30800 30940 31570 31850 32032 32144 32725 32800 33320 33620 34034 34112 34153 34496 34850 35035 35360 36080 36244 36400 36652 36982 37310 37400 38080 38335 38675 38896 39032 39200 40040 40180 40768 41041 41650 41888 42025 42640 43120 43316 43706 44198 44200 44608 45100 45305 45760 45815 45920 46904 47068 47600 48620 48790 49504 50050 50225 50512 50960 52234 52360 53300 53312 53669 53792 53900 54145 55760 56056 57154 57200 57400 58630 58835 59696 59840 60775 61336 61600 61880 63140 63427 63700 64064 64288 65450 65600 66640 67240 68068 68306 68921 69700 70070 70720 72160 72488 72800 73304 73964 74620 74800 76670 77350 77792 78064 78400 78925 80080 80360 82082 82369 83300 83776 84050 85085 85280 86240 86632 87412 88396 88400 90200 90610 91630 91840 92455 93275 93808 94136 95200 97240 97580 99008 99671 100100 100450 101024 101920 104468 104720 106600 107338 107584 107800 108290 109265 110495 111520 112112 114308 114400 114800 117260 117670 119119 119392 121550 121975 122672 123200 123760 126280 126854 127400 128576 129437 130585 130900 133280 134480 136136 136612 137842 139400 140140 142885 144320 144976 145600 146575 146608 147928 149240 149600 152971 153340 154700 155584 156128 157850 160160 160720 164164 164738 166600 168100 170170 170560 170765 172480 173264 174824 175175 176792 176800 180400 181220 183260 184910 186550 187616 188272 190400 191675 194480 195160 199342 200039 200200 200900 202048 203840 205205 208936 209440 213200 214676 215600 216580 218530 220990 223040 224224 226525 228616 228800 229075 229600 234520 235340 238238 238784 240383 243100 243950 245344 247520 252560 253708 254800 258874 261170 261800 266560 268345 268960 270725 272272 273224 275684 278800 280280 285770 287287 289952 293150 293216 294175 295856 298480 299200 305942 306680 309400 312256 314347 315700 317135 320320 321440 328328 329476 333200 336200 340340 341530 344605 346528 349648 350350 353584 353600 360800 362440 366520 369820 371501 373100 375232 375683 376544 383350 388960 390320 398684 400078 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5017448800 5052184984 5155290800 5331039350 5361502432 5403406400 5519193680 5721115400 5741119300 5773925696 5825135680 5864143285 5943747040 5970764072 6092616400 6161201200 6315231230 6407649248 6538417600 6561279200 6701878040 6823730368 6898992100 7024428320 7217407120 7281419600 7429683800 7463455090 7726871152 7814206400 7884562400 8009561560 8209800599 8377347550 8491067200 8529662960 8780535400 9021758900 9153784640 9185790880 9382629256 9423013600 9658588940 10011951950 10034897600 10104369968 10310581600 10662078700 10723004864 11038387360 11442230800 11482238600 11728286570 11887494080 11941528144 12073236175 12185232800 12322402400 12630462460 12815298496 13122558400 13403756080 13797984200 14048856640 14434814240 14562839200 14859367600 14926910180 15453742304 15769124800 15788078075 16019123120 16419601198 16754695100 17059325920 17561070800 18043517800 18371581760 18658637725 18765258512 18846027200 19317177880 20023903900 20208739936 20621163200 21324157400 22076774720 22884461600 22964477200 23456573140 23883056288 24146472350 24370465600 24644804800 25260924920 26807512160 27595968400 28869628480 29125678400 29320716425 29718735200 29853820360 30907484608 31576156150 32038246240 32839202396 33509390200 34118651840 35122141600 36087035600 37317275450 37530517024 38634355760 40047807800 40417479872 41049002995 42648314800 45768923200 45928954400 46913146280 47766112576 48292944700 50521849840 53615024320 55191936800 58641432850 59437470400 59707640720 63152312300 64076492480 65678404792 67018780400 70244283200 72174071200 74634550900 75061034048 77268711520 80095615600 82098005990 85296629600 91857908800 93826292560 96585889400 101043699680 110383873600 117282865700 119415281440 126304624600 131356809584 134037560800 144348142400 149269101800 154537423040 160191231200 164196011980 170593259200 187652585120 193171778800 202087399360 205245014975 234565731400 238830562880 252609249200 262713619168 268075121600 298538203600 320382462400 328392023960 375305170240 386343557600 410490029950 469131462800 505218498400 525427238336 597076407200 656784047920 772687115200 820980059900 938262925600 1010436996800 1194152814400 1313568095840 1641960119800 1876525851200 2627136191680 3283920239600 6567840479200 13135680958400
- Sum of all divisors σ(n): 47939923773504
- Sum of proper divisors (its aliquot sum) s(n): 34804242815104
- 13135680958400 is an abundant number, because the sum of its proper divisors (34804242815104) is greater than itself. Its abundance is 21668561856704
Bases of 13135680958400
- Binary: 101111110010011000111001100011101111110000002
- Hexadecimal: 0xBF26398EFC0
- Base-36: 4NMG5AF28
Squares and roots of 13135680958400
- 13135680958400 squared (131356809584002) is 172546114240872342530560000
- 13135680958400 cubed (131356809584003) is 2266510707279737900783879462088704000000
-
The
square root of 13135680958400 is 3624317.9990723773 -
The
cube root of 13135680958400 is 23594.8668324459
Scales and comparisons
How big is 13135680958400?- 13,135,680,958,400 seconds is equal to 417,674 years, 1 week, 1 day, 10 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,135,680,958,400 would take you about one million, forty-four thousand, one hundred eighty-five 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 13135680958400 cubic inches would be around 1966.2 feet tall.
Recreational maths with 13135680958400
- 13135680958400 backwards is 00485908653131
- The number of decimal digits it has is: 14
- The sum of 13135680958400's digits is 53
- More coming soon!
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"Number 13135680958400 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 13135680958400 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/13135680958400/
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The information we have on file for 13135680958400 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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