13126838400

Names of 13126838400

• Cardinal: 13126838400 can be written as Thirteen billion, one hundred twenty-six million, eight hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.31268384 × 10¹⁰

Factors of 13126838400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 83

Divisors of 13126838400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 31 32 36 39 40 45 48 50 52 54 58 60 62 64 65 72 75 78 80 87 90 93 96 100 104 108 116 117 120 124 128 130 135 144 145 150 155 156 160 169 174 180 186 192 195 200 208 216 225 232 234 240 248 260 261 270 279 288 290 300 310 312 320 325 338 348 351 360 372 377 384 390 400 403 416 432 435 450 464 465 468 480 496 507 520 522 540 558 576 580 585 600 620 624 640 650 675 676 696 702 720 725 744 754 775 780 783 800 806 832 837 845 864 870 899 900 928 930 936 960 975 992 1014 1040 1044 1080 1116 1131 1152 1160 1170 1200 1209 1240 1248 1300 1305 1350 1352 1392 1395 1404 1440 1450 1488 1508 1521 1550 1560 1566 1600 1612 1664 1674 1690 1728 1740 1755 1798 1800 1856 1860 1872 1885 1920 1950 1984 2015 2028 2080 2088 2160 2175 2232 2262 2320 2325 2340 2400 2418 2480 2496 2535 2600 2610 2697 2700 2704 2784 2790 2808 2880 2900 2925 2976 3016 3042 3100 3120 3132 3200 3224 3348 3380 3393 3456 3480 3510 3596 3600 3627 3712 3720 3744 3770 3900 3915 3968 4030 4056 4160 4176 4185 4225 4320 4350 4464 4495 4524 4563 4640 4650 4680 4800 4836 4901 4960 4992 5070 5200 5220 5239 5394 5400 5408 5568 5580 5616 5655 5760 5800 5850 5952 6032 6045 6084 6200 6240 6264 6448 6525 6696 6760 6786 6960 6975 7020 7192 7200 7254 7440 7488 7540 7605 7800 7830 8060 8091 8112 8320 8352 8370 8450 8640 8700 8775 8928 8990 9048 9126 9280 9300 9360 9425 9600 9672 9802 9920 10075 10140 10179 10400 10440 10478 10788 10800 10816 10881 11136 11160 11232 11310 11600 11687 11700 11904 12064 12090 12168 12400 12480 12528 12675 12896 13050 13392 13485 13520 13572 13920 13950 14040 14384 14400 14508 14703 14880 14976 15080 15210 15600 15660 15717 16120 16182 16224 16704 16740 16900 16965 17280 17400 17550 17856 17980 18096 18135 18252 18560 18600 18720 18850 19344 19575 19604 19840 20150 20280 20358 20800 20880 20925 20956 21576 21600 21632 21762 22320 22464 22475 22620 22815 23200 23374 23400 24128 24180 24273 24336 24505 24800 24960 25056 25350 25792 26100 26195 26784 26970 27040 27144 27840 27900 28080 28275 28768 28800 29016 29406 29760 30160 30225 30420 31200 31320 31434 32240 32364 32448 33408 33480 33800 33930 34800 35061 35100 35712 35960 36192 36270 36504 37200 37440 37700 38025 38688 39150 39208 40300 40455 40560 40716 41600 41760 41850 41912 43152 43200 43524 44109 44640 44928 44950 45240 45630 46400 46748 46800 47151 48256 48360 48546 48672 49010 49600 50112 50700 50895 51584 52200 52390 53568 53940 54080 54288 54405 55680 55800 56160 56550 57536 58032 58435 58812 59520 60320 60450 60840 62400 62640 62868 64480 64728 64896 66960 67425 67600 67860 69600 70122 70200 71920 72384 72540 73008 73515 74400 74880 75400 76050 77376 78300 78416 78585 80600 80910 81120 81432 83520 83700 83824 84825 86304 86400 87048 88218 89280 89900 90480 90675 91260 92800 93496 93600 94302 96720 97092 97344 98020 99200 100224 101400 101790 104400 104780 105183 107136 107880 108160 108576 108810 111600 112320 113100 114075 115072 116064 116870 117624 120640 120900 121365 121680 122525 124800 125280 125736 128960 129456 130975 132327 133920 134850 135200 135720 139200 140244 140400 141453 143840 144768 145080 146016 147030 148800 150800 151931 152100 154752 156600 156832 157170 161200 161820 162240 162864 167040 167400 167648 169650 172608 174096 175305 176436 178560 179800 180960 181350 182520 186992 187200 188604 193440 194184 194688 196040 202275 202800 203580 208800 209560 210366 215760 217152 217620 220545 223200 224640 226200 228150 232128 233740 235248 235755 241280 241800 242730 243360 245050 250560 251472 254475 257920 258912 261950 264654 267840 269700 270400 271440 272025 278400 280488 280800 282906 287680 290160 292032 292175 294060 297600 301600 303862 304200 313200 313664 314340 315549 322400 323640 324480 325728 334800 335296 339300 345216 348192 350610 352872 359600 361920 362700 365040 367575 373984 374400 377208 386880 388368 392080 392925 404550 405600 407160 417600 419120 420732 431520 434304 435240 441090 446400 452400 455793 456300 464256 467480 470496 471510 483600 485460 486720 490100 501120 502944 508950 517824 523900 525915 529308 535680 539400 540800 542880 544050 560976 561600 565812 575360 580320 584064 584350 588120 603200 606825 607724 608400 626400 627328 628680 631098 644800 647280 651456 661635 669600 670592 678600 696384 701220 705744 707265 719200 723840 725400 730080 735150 747968 754416 759655 773760 776736 784160 785850 809100 811200 814320 835200 838240 841464 863040 870480 876525 882180 892800 904800 911586 912600 934960 940992 943020 967200 970920 973440 980200 1005888 1017900 1035648 1047800 1051830 1058616 1078800 1085760 1088100 1102725 1121952 1123200 1131624 1160640 1168700 1176240 1178775 1206400 1213650 1215448 1216800 1252800 1257360 1262196 1289600 1294560 1302912 1323270 1339200 1357200 1367379 1392768 1402440 1411488 1414530 1438400 1450800 1460160 1470300 1495936 1508832 1519310 1553472 1568320 1571700 1577745 1618200 1622400 1628640 1676480 1682928 1726080 1740960 1753050 1764360 1809600 1823172 1825200 1869920 1881984 1886040 1934400 1941840 1960400 2011776 2035800 2095600 2103660 2117232 2157600 2171520 2176200 2205450 2243904 2263248 2278965 2321280 2337400 2352480 2357550 2427300 2430896 2433600 2505600 2514720 2524392 2589120 2629575 2646540 2678400 2714400 2734758 2804880 2822976 2829060 2876800 2901600 2920320 2940600 3017664 3038620 3106944 3136640 3143400 3155490 3236400 3257280 3308175 3352960 3365856 3481920 3506100 3528720 3536325 3619200 3646344 3650400 3739840 3772080 3798275 3868800 3883680 3920800 4071600 4102137 4191200 4207320 4234464 4315200 4352400 4410900 4487808 4526496 4557930 4674800 4704960 4715100 4854600 4861792 4867200 5029440 5048784 5178240 5259150 5293080 5428800 5469516 5609760 5645952 5658120 5803200 5881200 6035328 6077240 6286800 6310980 6472800 6514560 6616350 6731712 6836895 6963840 7012200 7057440 7072650 7292688 7300800 7479680 7544160 7596550 7767360 7841600 7888725 8143200 8204274 8382400 8414640 8468928 8630400 8704800 8821800 9052992 9115860 9349600 9409920 9430200 9709200 9723584 10058880 10097568 10518300 10586160 10857600 10939032 11219520 11316240 11394825 11606400 11762400 12154480 12573600 12621960 12945600 13232700 13463424 13673790 14024400 14114880 14145300 14585376 14601600 15088320 15193100 15534720 15683200 15777450 16286400 16408548 16764800 16829280 16937856 17409600 17643600 18105984 18231720 18699200 18860400 19418400 19447168 20195136 20510685 21036600 21172320 21878064 22439040 22632480 22789650 23524800 24308960 25147200 25243920 25891200 26465400 27347580 28048800 28229760 28290600 29170752 30176640 30386200 31554900 32572800 32817096 33658560 34184475 34819200 35287200 36463440 37398400 37720800 38836800 40390272 41021370 42073200 42344640 43756128 45264960 45579300 47049600 48617920 50294400 50487840 52930800 54695160 56097600 56581200 58341504 60772400 63109800 65634192 67317120 68368950 70574400 72926880 75441600 77673600 82042740 84146400 84689280 87512256 90529920 91158600 97235840 100975680 102553425 105861600 109390320 112195200 113162400 121544800 126219600 131268384 136737900 141148800 145853760 150883200 164085480 168292800 175024512 182317200 201951360 205106850 211723200 218780640 226324800 243089600 252439200 262536768 273475800 291707520 328170960 336585600 364634400 410213700 423446400 437561280 452649600 486179200 504878400 525073536 546951600 656341920 729268800 820427400 875122560 1009756800 1093903200 1312683840 1458537600 1640854800 2187806400 2625367680 3281709600 4375612800 6563419200 13126838400
• Sum of all divisors σ(n): 55550016000
• Sum of proper divisors (its aliquot sum) s(n): 42423177600
• 13126838400 is an abundant number, because the sum of its proper divisors (42423177600) is greater than itself. Its abundance is 29296339200

Bases of 13126838400

• Binary: 1100001110011010111010100010000000₂
• Hexadecimal: 0x30E6BA880
• Base-36: 613DPC0

Squares and roots of 13126838400

• 13126838400 squared (13126838400²) is 172313886379714560000
• 13126838400 cubed (13126838400³) is 2261936540582474067247104000000
• The square root of 13126838400 is 114572.4155283461
• The cube root of 13126838400 is 2358.9571184593

Scales and comparisons

• 13,126,838,400 seconds is equal to 417 years, 20 weeks, 3 days.
• To count from 1 to 13,126,838,400 would take you about eight hundred thirty-four 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 13126838400 cubic inches would be around 196.6 feet tall.

Recreational maths with 13126838400

• 13126838400 backwards is 00483862131
• 13126838400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13126838400's digits is 36
• More coming soon!