13128144120

Names of 13128144120

• Cardinal: 13128144120 can be written as Thirteen billion, one hundred twenty-eight million, one hundred forty-four thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.312814412 × 10¹⁰

Factors of 13128144120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 200

Divisors of 13128144120

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 31 35 36 39 40 42 45 52 54 56 60 62 63 65 70 72 78 84 90 91 93 104 105 108 117 120 124 126 130 135 139 140 155 156 168 180 182 186 189 195 210 216 217 234 248 252 260 270 273 278 279 280 310 312 315 351 360 364 372 378 390 403 417 420 434 455 465 468 504 520 540 546 556 558 585 620 630 651 695 702 728 744 756 780 806 819 834 837 840 868 910 930 936 945 961 973 1080 1085 1092 1112 1116 1170 1209 1240 1251 1260 1302 1365 1390 1395 1404 1512 1560 1612 1638 1668 1674 1736 1755 1807 1820 1860 1890 1922 1946 1953 2015 2085 2170 2184 2232 2340 2418 2457 2502 2520 2604 2730 2780 2790 2808 2821 2883 2919 3224 3255 3276 3336 3348 3510 3614 3627 3640 3720 3753 3780 3844 3892 3906 4030 4095 4170 4185 4309 4340 4680 4805 4836 4865 4914 5004 5208 5421 5460 5560 5580 5642 5766 5838 5859 6045 6255 6510 6552 6696 6727 7020 7228 7254 7506 7560 7688 7784 7812 8060 8190 8340 8370 8463 8618 8649 8680 8757 9035 9610 9672 9730 9765 9828 10008 10842 10881 10920 11160 11284 11532 11676 11718 12090 12285 12493 12510 12649 12927 13020 13454 14040 14105 14415 14456 14508 14595 15012 15624 16120 16263 16380 16680 16740 16926 17236 17298 17514 18070 18135 18765 19220 19460 19530 19656 20181 21545 21684 21762 22568 23064 23352 23436 24180 24570 24986 25020 25298 25389 25854 25947 26040 26271 26908 27105 28210 28830 29016 29190 29295 30024 30163 32526 32760 33480 33635 33852 34472 34596 35028 36140 36270 37479 37530 37947 38440 38781 38920 39060 40362 42315 43090 43245 43368 43524 43785 46872 48360 48789 49140 49972 50040 50596 50778 51708 51894 52542 53816 54210 54405 56017 56420 57660 58380 58590 60326 60543 62465 63245 64635 65052 67270 67704 69192 70056 72280 72540 74958 75060 75894 76167 77562 78120 80724 81315 84630 86180 86490 87048 87451 87570 90489 97578 98280 99944 100905 101192 101556 103416 103788 105084 108420 108810 112034 112437 112840 113841 115320 116343 116760 117180 120652 121086 124930 126490 126945 129270 129735 130104 131355 133579 134540 145080 149916 150120 150815 151788 152334 155124 161448 162630 168051 169260 172360 172980 174902 175140 180978 181629 187395 189735 193905 195156 201810 203112 207576 210168 216840 217620 224068 224874 227682 232686 234360 241304 242172 243945 249860 252980 253890 258540 259470 262353 262710 267158 269080 271467 280085 299832 301630 302715 303576 304668 310248 325260 336102 337311 338520 341523 345960 349804 350280 361956 363258 374790 379470 380835 387810 390312 392119 400737 403620 435240 437255 448136 449748 452445 455364 465372 484344 487890 499720 504153 505960 507780 517080 518940 524706 525420 534316 542934 560170 562185 569205 581715 603260 605430 609336 650520 667895 672204 674622 683046 699608 723912 726516 749580 758940 761670 775620 784238 787059 801474 807240 814401 840255 874510 899496 904890 908145 910728 930744 935053 975780 1008306 1015560 1037880 1049412 1050840 1068632 1085868 1120340 1124370 1138410 1163430 1176357 1202211 1206520 1210860 1311765 1335790 1344408 1349244 1357335 1366092 1453032 1499160 1512459 1517880 1523340 1551240 1568476 1574118 1602948 1628802 1680510 1686555 1707615 1736527 1749020 1809780 1816290 1870106 1951560 1960595 2003685 2016612 2098824 2171736 2240680 2248740 2276820 2326860 2352714 2361177 2404422 2421720 2520765 2623530 2671580 2698488 2714670 2732184 2805159 3024918 3046680 3136952 3148236 3205896 3257604 3361020 3373110 3415230 3473054 3498040 3529071 3606633 3619560 3632580 3740212 3921190 3935295 4007370 4033224 4072005 4497480 4553640 4653720 4675265 4705428 4722354 4808844 5041530 5209581 5247060 5343160 5429340 5610318 5881785 6011055 6049836 6296472 6515208 6722040 6746220 6830460 6946108 7058142 7213266 7265160 7480424 7562295 7842380 7870590 8014740 8144010 8415477 8682635 9350530 9410856 9444708 9617688 10083060 10419162 10494120 10587213 10858680 11220636 11763570 11805885 12022110 12099672 12155689 13492440 13660920 13892216 14025795 14116284 14426532 15124590 15628743 15684760 15741180 16029480 16288020 16830954 17365270 17645355 18033165 18701060 18889416 20166120 20838324 21174426 22441272 23527140 23611770 24044220 24311378 25246431 26047905 28051590 28232568 28853064 30249180 31257486 31482360 32576040 33661908 34730540 35290710 36066330 36467067 37402120 41676648 42077385 42348852 46886229 47054280 47223540 48088440 48622756 50492862 52095810 52936065 56103180 60498360 60778445 62514972 67323816 69461080 70581420 72132660 72934134 78143715 84154770 84697704 93772458 94447080 97245512 100985724 104191620 105872130 109401201 112206360 121556890 125029944 126232155 141162840 144265320 145868268 156287430 168309540 182335335 187544916 201971448 208383240 211744260 218802402 234431145 243113780 252464310 291736536 312574860 328203603 336619080 364670670 375089832 423488520 437604804 468862290 486227560 504928620 547006005 625149720 656407206 729341340 875209608 937724580 1009857240 1094012010 1312814412 1458682680 1641018015 1875449160 2188024020 2625628824 3282036030 4376048040 6564072060 13128144120
• Sum of all divisors σ(n): 56052864000
• Sum of proper divisors (its aliquot sum) s(n): 42924719880
• 13128144120 is an abundant number, because the sum of its proper divisors (42924719880) is greater than itself. Its abundance is 29796575760

Bases of 13128144120

• Binary: 1100001110011111111001010011111000₂
• Hexadecimal: 0x30E7F94F8
• Base-36: 6145OU0

Squares and roots of 13128144120

• 13128144120 squared (13128144120²) is 172348168035490574400
• 13128144120 cubed (13128144120³) is 2262611588787897535624782528000
• The square root of 13128144120 is 114578.1136168683
• The cube root of 13128144120 is 2359.0353306247

Scales and comparisons

• 13,128,144,120 seconds is equal to 417 years, 22 weeks, 4 days, 2 hours, 42 minutes.
• To count from 1 to 13,128,144,120 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 13128144120 cubic inches would be around 196.6 feet tall.

Recreational maths with 13128144120

• 13128144120 backwards is 02144182131
• 13128144120 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13128144120's digits is 27
• More coming soon!