13688438400

Names of 13688438400

• Cardinal: 13688438400 can be written as Thirteen billion, six hundred eighty-eight million, four hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.36884384 × 10¹⁰

Factors of 13688438400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1771

Divisors of 13688438400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 252 260 270 273 280 288 300 312 315 320 325 336 350 351 360 364 378 384 390 400 416 420 432 448 450 455 468 480 504 520 525 540 546 560 576 585 600 624 630 640 650 672 675 700 702 720 728 756 780 800 819 832 840 864 896 900 910 936 945 960 975 1008 1040 1050 1080 1092 1120 1152 1170 1200 1248 1260 1300 1344 1350 1365 1400 1404 1440 1456 1512 1560 1575 1600 1638 1664 1680 1728 1741 1755 1800 1820 1872 1890 1920 1950 2016 2080 2100 2160 2184 2240 2275 2340 2400 2457 2496 2520 2600 2688 2700 2730 2800 2808 2880 2912 2925 3024 3120 3150 3200 3276 3360 3456 3482 3510 3600 3640 3744 3780 3900 4032 4095 4160 4200 4320 4368 4480 4550 4680 4725 4800 4914 4992 5040 5200 5223 5400 5460 5600 5616 5760 5824 5850 6048 6240 6300 6552 6720 6825 6964 7020 7200 7280 7488 7560 7800 8064 8190 8320 8400 8640 8705 8736 8775 9100 9360 9450 9600 9828 10080 10400 10446 10800 10920 11200 11232 11648 11700 12096 12187 12285 12480 12600 13104 13440 13650 13928 14040 14400 14560 14976 15120 15600 15669 16380 16800 17280 17410 17472 17550 18200 18720 18900 19656 20160 20475 20800 20892 21600 21840 22400 22464 22633 23400 24192 24374 24570 24960 25200 26115 26208 27300 27856 28080 28800 29120 30240 31200 31338 32760 33600 34820 34944 35100 36400 36561 37440 37800 39312 40320 40950 41600 41784 43200 43525 43680 44928 45266 46800 47007 48748 49140 50400 52230 52416 54600 55712 56160 58240 60480 60935 61425 62400 62676 65520 67200 67899 69640 70200 72800 73122 74880 75600 78345 78624 81900 83568 86400 87050 87360 90532 93600 94014 97496 98280 100800 104460 104832 109200 109683 111424 112320 113165 120960 121870 122850 124800 125352 130575 131040 135798 139280 140400 145600 146244 151200 156690 157248 158431 163800 167136 174100 174720 181064 182805 187200 188028 194992 196560 201600 203697 208920 218400 219366 222848 224640 226330 235035 243740 245700 250704 261150 262080 271596 278560 280800 291200 292488 302400 304675 313380 314496 316862 327600 329049 334272 339495 348200 362128 365610 374400 376056 389984 391725 393120 407394 417840 436800 438732 452660 470070 475293 487480 491400 501408 522300 524160 543192 548415 557120 561600 565825 584976 604800 609350 611091 626760 633724 655200 658098 668544 678990 696400 724256 731220 752112 779968 783450 786240 792155 814788 835680 873600 877464 905320 914025 940140 950586 974960 982800 1002816 1018485 1044600 1086384 1096830 1114240 1123200 1131650 1169952 1175175 1218700 1222182 1253520 1267448 1310400 1316196 1357980 1392800 1425879 1448512 1462440 1504224 1559936 1566900 1572480 1584310 1629576 1645245 1671360 1697475 1754928 1810640 1828050 1880280 1901172 1949920 1965600 2005632 2036970 2089200 2172768 2193660 2263300 2339904 2350350 2376465 2437400 2444364 2507040 2534896 2620800 2632392 2715960 2742075 2785600 2851758 2897024 2924880 3008448 3055455 3133800 3168620 3259152 3290490 3342720 3394950 3509856 3621280 3656100 3760560 3802344 3899840 3931200 3960775 4073940 4178400 4277637 4345536 4387320 4526600 4679808 4700700 4752930 4874800 4888728 5014080 5069792 5092425 5264784 5431920 5484150 5571200 5703516 5849760 6016896 6110910 6267600 6337240 6518304 6580980 6789900 7019712 7129395 7242560 7312200 7521120 7604688 7799680 7862400 7921550 8147880 8226225 8356800 8555274 8691072 8774640 9053200 9401400 9505860 9749600 9777456 10028160 10139584 10184850 10529568 10863840 10968300 11407032 11699520 11882325 12221820 12535200 12674480 13036608 13161960 13579800 14039424 14258790 14485120 14624400 15042240 15209376 15277275 15843100 16295760 16452450 16713600 17110548 17549280 18106400 18802800 19011720 19499200 19554912 20279168 20369700 21059136 21388185 21727680 21936600 22814064 23399040 23764650 24443640 25070400 25348960 26073216 26323920 27159600 28517580 29248800 30084480 30418752 30554550 31686200 32591520 32904900 34221096 35098560 35646975 36212800 37605600 38023440 38998400 39109824 40739400 42118272 42776370 43455360 43873200 45628128 47529300 48887280 50140800 50697920 52647840 54319200 57035160 58497600 60837504 61109100 63372400 65183040 65809800 68442192 70197120 71293950 72425600 75211200 76046880 78219648 81478800 85552740 87746400 91256256 95058600 97774560 101395840 105295680 106940925 108638400 114070320 116995200 122218200 126744800 130366080 131619600 136884384 142587900 150422400 152093760 162957600 171105480 175492800 182512512 190117200 195549120 210591360 213881850 217276800 228140640 244436400 253489600 263239200 273768768 285175800 304187520 325915200 342210960 350985600 380234400 391098240 427763700 456281280 488872800 506979200 526478400 547537536 570351600 651830400 684421920 760468800 855527400 912562560 977745600 1052956800 1140703200 1368843840 1520937600 1711054800 1955491200 2281406400 2737687680 3422109600 4562812800 6844219200 13688438400
• Sum of all divisors σ(n): 61691884800
• Sum of proper divisors (its aliquot sum) s(n): 48003446400
• 13688438400 is an abundant number, because the sum of its proper divisors (48003446400) is greater than itself. Its abundance is 34315008000

Bases of 13688438400

• Binary: 1100101111111001001111111010000000₂
• Hexadecimal: 0x32FE4FE80
• Base-36: 6ADQQO0

Squares and roots of 13688438400

• 13688438400 squared (13688438400²) is 187373345830594560000
• 13688438400 cubed (13688438400³) is 2564848502203990469935104000000
• The square root of 13688438400 is 116997.5999753841
• The cube root of 13688438400 is 2392.1292160335

Scales and comparisons

• 13,688,438,400 seconds is equal to 435 years, 13 weeks.
• To count from 1 to 13,688,438,400 would take you about eight hundred seventy 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 13688438400 cubic inches would be around 199.3 feet tall.

Recreational maths with 13688438400

• 13688438400 backwards is 00483488631
• 13688438400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13688438400's digits is 45
• More coming soon!