130458806400

Names of 130458806400

• Cardinal: 130458806400 can be written as One hundred thirty billion, four hundred fifty-eight million, eight hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 1.304588064 × 10¹¹

Factors of 130458806400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 635

Divisors of 130458806400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 191 192 195 200 208 240 260 300 312 320 325 338 382 384 390 400 416 421 480 507 520 573 600 624 640 650 676 764 780 800 832 842 845 955 960 975 1014 1040 1146 1200 1248 1263 1300 1352 1528 1560 1600 1664 1684 1690 1910 1920 1950 2028 2080 2105 2292 2400 2483 2496 2526 2535 2600 2704 2865 3056 3120 3200 3368 3380 3820 3900 4056 4160 4210 4225 4584 4775 4800 4966 4992 5052 5070 5200 5408 5473 5730 6112 6240 6315 6736 6760 7449 7640 7800 8112 8320 8420 8450 9168 9550 9600 9932 10104 10140 10400 10525 10816 10946 11460 12224 12415 12480 12630 12675 13472 13520 14325 14898 15280 15600 16224 16419 16840 16900 18336 19100 19864 20208 20280 20800 21050 21632 21892 22920 24448 24830 24960 25260 25350 26944 27040 27365 28650 29796 30560 31200 31575 32279 32448 32838 33680 33800 36672 37245 38200 39728 40416 40560 41600 42100 43784 45840 49660 50520 50700 53888 54080 54730 57300 59592 61120 62075 62400 63150 64558 64896 65676 67360 67600 71149 73344 74490 76400 79456 80411 80832 81120 82095 84200 87568 91680 96837 99320 101040 101400 108160 109460 114600 119184 122240 124150 124800 126300 129116 131352 134720 135200 136825 142298 148980 152800 158912 160822 161395 161664 162240 164190 168400 175136 183360 186225 193674 198640 202080 202800 213447 218920 229200 238368 241233 248300 252600 258232 262704 269440 270400 273650 284596 297960 305600 317824 321644 322790 324480 328380 336800 350272 355745 366720 372450 387348 397280 402055 404160 405600 410475 426894 437840 458400 476736 482466 484185 496600 505200 516464 525408 540800 547300 569192 595920 611200 643288 645580 656760 673600 700544 711490 744900 774696 794560 804110 806975 808320 811200 820950 853788 875680 916800 953472 964932 968370 993200 1010400 1032928 1045343 1050816 1067235 1094600 1138384 1191840 1206165 1286576 1291160 1313520 1347200 1422980 1489800 1549392 1589120 1608220 1613950 1622400 1641900 1707576 1751360 1778725 1833600 1929864 1936740 1986400 2010275 2020800 2065856 2090686 2101632 2134470 2189200 2276768 2383680 2412330 2420925 2573152 2582320 2627040 2845960 2979600 3098784 3136029 3216440 3227900 3283800 3415152 3502720 3557450 3859728 3873480 3972800 4020550 4041600 4131712 4181372 4268940 4378400 4553536 4767360 4824660 4841850 5146304 5164640 5226715 5254080 5336175 5691920 5959200 6030825 6197568 6272058 6432880 6455800 6567600 6830304 7114900 7719456 7746960 7945600 8041100 8362744 8537880 8756800 9107072 9649320 9683700 10292608 10329280 10453430 10508160 10672350 11383840 11918400 12061650 12395136 12544116 12865760 12911600 13135200 13589459 13660608 14229800 15438912 15493920 15680145 16082200 16725488 17075760 17513600 19298640 19367400 20658560 20906860 21344700 22767680 23836800 24123300 25088232 25731520 25823200 26133575 26270400 27178918 27321216 28459600 30877824 30987840 31360290 32164400 33450976 34151520 38597280 38734800 40768377 41813720 42689400 45535360 48246600 50176464 51463040 51646400 52267150 52540800 54357836 56919200 61975680 62720580 64328800 66901952 67947295 68303040 77194560 77469600 78400725 81536754 83627440 85378800 96493200 100352928 103292800 104534300 108715672 113838400 125441160 128657600 133803904 135894590 136606080 154389120 154939200 156801450 163073508 167254880 170757600 192986400 200705856 203841885 209068600 217431344 227676800 250882320 257315200 271789180 309878400 313602900 326147016 334509760 339736475 341515200 385972800 401411712 407683770 418137200 434862688 501764640 543578360 627205800 652294032 669019520 679472950 683030400 771945600 815367540 836274400 869725376 1003529280 1019209425 1087156720 1254411600 1304588064 1358945900 1630735080 1672548800 1739450752 2007058560 2038418850 2174313440 2508823200 2609176128 2717891800 3261470160 3345097600 4076837700 4348626880 5017646400 5218352256 5435783600 6522940320 8153675400 8697253760 10035292800 10871567200 13045880640 16307350800 21743134400 26091761280 32614701600 43486268800 65229403200 130458806400
• Sum of all divisors σ(n): 468842135040
• Sum of proper divisors (its aliquot sum) s(n): 338383328640
• 130458806400 is an abundant number, because the sum of its proper divisors (338383328640) is greater than itself. Its abundance is 207924522240

Bases of 130458806400

• Binary: 1111001011111111100110110100010000000₂
• Hexadecimal: 0x1E5FF36880
• Base-36: 1NXJSZ9C

Squares and roots of 130458806400

• 130458806400 squared (130458806400²) is 17019500167312680960000
• 130458806400 cubed (130458806400³) is 2220343677352212653625606144000000
• The square root of 130458806400 is 361190.8171590191
• The cube root of 130458806400 is 5071.7495605561

Scales and comparisons

• 130,458,806,400 seconds is equal to 4,148 years, 9 weeks, 4 days, 21 hours, 20 minutes.
• To count from 1 to 130,458,806,400 would take you about eight thousand, two hundred ninety-six 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 130458806400 cubic inches would be around 422.6 feet tall.

Recreational maths with 130458806400

• 130458806400 backwards is 004608854031
• 130458806400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 130458806400's digits is 39
• More coming soon!