13135478400

Names of 13135478400

• Cardinal: 13135478400 can be written as Thirteen billion, one hundred thirty-five million, four hundred seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.31354784 × 10¹⁰

Factors of 13135478400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 309

Divisors of 13135478400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 81 85 88 90 96 99 100 102 108 110 120 128 132 135 136 144 150 153 160 162 165 170 176 180 187 192 198 200 204 216 220 225 240 255 264 270 271 272 275 288 297 300 306 320 324 330 340 352 360 374 384 396 400 405 408 425 432 440 450 459 480 495 510 528 540 542 544 550 561 576 594 600 612 640 648 660 675 680 704 720 748 765 792 800 810 813 816 825 850 864 880 891 900 918 935 960 990 1020 1056 1080 1084 1088 1100 1122 1152 1188 1200 1224 1275 1296 1320 1350 1355 1360 1377 1408 1440 1485 1496 1530 1584 1600 1620 1626 1632 1650 1683 1700 1728 1760 1782 1800 1836 1870 1920 1980 2025 2040 2112 2160 2168 2176 2200 2244 2295 2376 2400 2439 2448 2475 2550 2592 2640 2700 2710 2720 2754 2805 2880 2970 2981 2992 3060 3168 3200 3240 3252 3264 3300 3366 3400 3456 3520 3564 3600 3672 3740 3825 3960 4050 4065 4080 4224 4320 4336 4400 4455 4488 4590 4607 4675 4752 4800 4878 4896 4950 5049 5100 5184 5280 5400 5420 5440 5508 5610 5760 5940 5962 5984 6120 6336 6480 6504 6528 6600 6732 6775 6800 6885 7040 7128 7200 7317 7344 7425 7480 7650 7920 8100 8130 8160 8415 8640 8672 8800 8910 8943 8976 9180 9214 9350 9504 9600 9756 9792 9900 10098 10200 10368 10560 10800 10840 10880 11016 11220 11475 11880 11924 11968 12195 12240 12672 12960 13008 13200 13464 13550 13600 13770 13821 14025 14256 14400 14634 14688 14850 14905 14960 15147 15300 15840 16200 16260 16320 16830 17280 17344 17600 17820 17886 17952 18360 18428 18700 19008 19512 19584 19800 20196 20325 20400 21120 21600 21680 21951 22032 22275 22440 22950 23035 23760 23848 23936 24390 24480 25245 25920 26016 26400 26829 26928 27100 27200 27540 27642 28050 28512 28800 29268 29376 29700 29810 29920 30294 30600 31680 32400 32520 32640 33660 34425 34688 35200 35640 35772 35904 36585 36720 36856 37400 38016 39024 39600 40392 40650 40800 41463 42075 43200 43360 43902 44064 44550 44715 44880 45900 46070 47520 47696 48780 48960 50490 50677 51840 52032 52800 53658 53856 54200 54400 55080 55284 56100 57024 58536 58752 59400 59620 59840 60588 60975 61200 63360 64800 65040 67320 68850 69105 71280 71544 71808 73170 73440 73712 74525 74800 75735 78048 79200 80487 80784 81300 81600 82926 84150 86400 86720 87804 88128 89100 89430 89760 91800 92140 95040 95392 97560 97920 100980 101354 104064 105600 107316 107712 108400 109755 110160 110568 112200 114048 115175 117072 118800 119240 119680 121176 121950 122400 124389 126225 129600 130080 134145 134640 137700 138210 142560 143088 146340 146880 147424 149050 149600 151470 152031 156096 158400 160974 161568 162600 163200 165852 168300 173440 175608 176256 178200 178860 179520 182925 183600 184280 190080 190784 195120 201960 202708 207315 214632 215424 216800 219510 220320 221136 223575 224400 230350 234144 237600 238480 241461 242352 243900 244800 248778 252450 253385 259200 260160 268290 269280 275400 276420 285120 286176 292680 293760 294848 298100 299200 302940 304062 312192 316800 321948 323136 325200 331704 336600 345525 351216 356400 357720 359040 365850 367200 368560 373167 378675 381568 390240 402435 403920 405416 414630 429264 433600 439020 440640 442272 447150 448800 456093 460700 468288 475200 476960 482922 484704 487800 489600 497556 504900 506770 520320 536580 538560 548775 550800 552840 570240 572352 585360 589696 596200 598400 605880 608124 621945 643896 646272 650400 663408 670725 673200 691050 702432 712800 715440 731700 734400 737120 746334 757350 760155 780480 804870 807840 810832 829260 858528 867200 878040 881280 884544 894300 897600 912186 921400 936576 950400 953920 965844 969408 975600 995112 1009800 1013540 1036575 1073160 1077120 1097550 1101600 1105680 1144704 1170720 1192400 1207305 1211760 1216248 1243890 1266925 1287792 1300800 1326816 1341450 1346400 1368279 1382100 1404864 1425600 1430880 1463400 1468800 1474240 1492668 1514700 1520310 1560960 1609740 1615680 1621664 1658520 1717056 1756080 1769088 1788600 1795200 1824372 1842800 1865835 1907840 1931688 1938816 1951200 1990224 2012175 2019600 2027080 2073150 2146320 2195100 2203200 2211360 2280465 2341440 2384800 2414610 2423520 2432496 2487780 2533850 2575584 2601600 2653632 2682900 2692800 2736558 2764200 2809728 2851200 2861760 2926800 2948480 2985336 3029400 3040620 3109725 3219480 3231360 3243328 3317040 3434112 3512160 3577200 3648744 3685600 3731670 3800775 3863376 3902400 3980448 4024350 4039200 4054160 4104837 4146300 4292640 4390200 4406400 4422720 4560930 4682880 4769600 4829220 4847040 4864992 4975560 5067700 5151168 5307264 5365800 5385600 5473116 5528400 5723520 5853600 5970672 6036525 6058800 6081240 6219450 6438960 6486656 6634080 6841395 7024320 7154400 7297488 7371200 7463340 7601550 7726752 7804800 7960896 8048700 8078400 8108320 8209674 8292600 8585280 8780400 8845440 9121860 9329175 9539200 9658440 9694080 9729984 9951120 10135400 10302336 10731600 10946232 11056800 11402325 11707200 11941344 12073050 12117600 12162480 12438900 12877920 13268160 13682790 14048640 14308800 14594976 14742400 14926680 15203100 15453504 15921792 16097400 16156800 16216640 16419348 16585200 17170560 17560800 18243720 18658350 19316880 19459968 19902240 20270800 20524185 21463200 21892464 22113600 22804650 23414400 23882688 24146100 24235200 24324960 24877800 25755840 26536320 27365580 28617600 29189952 29853360 30406200 30907008 32194800 32433280 32838696 33170400 34206975 35121600 36487440 37316700 38633760 39804480 40541600 41048370 42926400 43784928 44227200 45609300 47765376 48292200 48470400 48649920 49755600 51511680 54731160 58379904 59706720 60812400 64389600 65677392 66340800 68413950 70243200 72974880 74633400 77267520 79608960 81083200 82096740 85852800 87569856 91218600 96584400 97299840 99511200 102620925 109462320 119413440 121624800 128779200 131354784 132681600 136827900 145949760 149266800 154535040 162166400 164193480 175139712 182437200 193168800 199022400 205241850 218924640 238826880 243249600 257558400 262709568 273655800 291899520 298533600 328386960 364874400 386337600 398044800 410483700 437849280 486499200 525419136 547311600 597067200 656773920 729748800 772675200 820967400 875698560 1094623200 1194134400 1313547840 1459497600 1641934800 2189246400 2627095680 3283869600 4378492800 6567739200 13135478400
• Sum of all divisors σ(n): 56196581760
• Sum of proper divisors (its aliquot sum) s(n): 43061103360
• 13135478400 is an abundant number, because the sum of its proper divisors (43061103360) is greater than itself. Its abundance is 29925624960

Bases of 13135478400

• Binary: 1100001110111011110111111010000000₂
• Hexadecimal: 0x30EEF7E80
• Base-36: 618IW00

Squares and roots of 13135478400

• 13135478400 squared (13135478400²) is 172540792796866560000
• 13135478400 cubed (13135478400³) is 2266405856902116286562304000000
• The square root of 13135478400 is 114610.1147368765
• The cube root of 13135478400 is 2359.4745550495

Scales and comparisons

• 13,135,478,400 seconds is equal to 417 years, 34 weeks, 5 days.
• To count from 1 to 13,135,478,400 would take you about eight hundred thirty-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 13135478400 cubic inches would be around 196.6 feet tall.

Recreational maths with 13135478400

• 13135478400 backwards is 00487453131
• 13135478400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13135478400's digits is 36
• More coming soon!