135380408800
135,380,408,800 is an even composite number composed of seven prime numbers multiplied together.
135380408800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135380408800:
25 × 52 × 7 × 13 × 43 × 59 × 733
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 43 × 59 × 733)See below for interesting mathematical facts about the number 135380408800 from the Numbermatics database.
Names of 135380408800
- Cardinal: 135380408800 can be written as One hundred thirty-five billion, three hundred eighty million, four hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.353804088 × 1011
Factors of 135380408800
Divisors of 135380408800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 43 50 52 56 59 65 70 80 86 91 100 104 112 118 130 140 160 172 175 182 200 208 215 224 236 260 280 295 301 325 344 350 364 400 413 416 430 455 472 520 559 560 590 602 650 688 700 728 733 767 800 826 860 910 944 1040 1075 1118 1120 1180 1204 1300 1376 1400 1456 1466 1475 1505 1534 1652 1720 1820 1888 2065 2080 2150 2236 2275 2360 2408 2537 2600 2795 2800 2912 2932 2950 3010 3068 3304 3440 3640 3665 3835 3913 4130 4300 4472 4550 4720 4816 5074 5131 5200 5369 5590 5600 5864 5900 6020 6136 6608 6880 7280 7330 7525 7670 7826 8260 8600 8944 9100 9440 9529 9632 10148 10262 10325 10400 10738 11180 11728 11800 12040 12272 12685 13216 13975 14560 14660 15050 15340 15652 16520 17200 17759 17888 18200 18325 19058 19175 19565 20296 20524 20650 21476 22360 23456 23600 24080 24544 25370 25655 26845 27950 29320 30100 30680 31304 31519 32981 33040 34400 35518 36400 36650 38116 38350 39130 40592 41048 41300 42952 43247 44720 47200 47645 48160 50740 51310 53690 55900 58640 60200 61360 62608 63038 63425 65962 66080 66703 71036 72800 73300 76232 76700 78260 81184 82096 82600 85904 86494 88795 89440 95290 97825 101480 102620 107380 111800 117280 120400 122720 125216 126076 126850 128275 131924 133406 134225 142072 146600 152464 153400 156520 157595 164192 164905 165200 171808 172988 177590 190580 195650 202960 205240 214760 216235 220633 223600 230867 238225 240800 252152 253700 256550 263848 266812 268450 284144 293200 302729 304928 306800 313040 315190 329810 330400 333515 345976 355180 381160 391300 405920 409747 410480 429520 432470 441266 443975 447200 461734 476450 504304 507400 513100 527696 533624 536900 562211 568288 586400 605458 613600 626080 630380 659620 667030 691952 710360 762320 782600 787975 819494 820960 824525 859040 864940 882532 887950 923468 952900 1008608 1014800 1026200 1055392 1067248 1073800 1081175 1103165 1124422 1154335 1210916 1260760 1319240 1334060 1383904 1420720 1513645 1524640 1565200 1575950 1638988 1649050 1667575 1729880 1765064 1775900 1846936 1859621 1905800 2029600 2048735 2052400 2134496 2147600 2162350 2206330 2248844 2308670 2421832 2521520 2638480 2668120 2811055 2841440 2868229 3027290 3130400 3151900 3277976 3298100 3335150 3459760 3530128 3551800 3693872 3719242 3811600 3935477 4097470 4104800 4295200 4324700 4412660 4497688 4617340 4843664 5043040 5276960 5336240 5515825 5622110 5736458 5771675 6054580 6303800 6555952 6596200 6670300 6919520 7060256 7103600 7387744 7438484 7568225 7623200 7870954 8194940 8649400 8825320 8995376 9234680 9298105 9687328 10243675 10672480 11031650 11244220 11472916 11543350 12109160 12607600 13017347 13111904 13192400 13340600 14055275 14207200 14341145 14876968 15136450 15741908 16389880 17298800 17650640 17990752 18469360 18596210 19677385 20487350 22063300 22488440 22945832 23086700 24175073 24218320 25215200 26034694 26384800 26681200 28110550 28682290 29753936 30272900 31483816 32779760 34597600 35301280 36938720 37192420 39354770 40974700 44126600 44976880 45891664 46173400 46490525 48350146 48436640 52069388 53362400 56221100 57364580 59507872 60545800 62967632 65086735 65559520 71705725 74384840 78709540 81949400 88253200 89953760 91783328 92346800 92981050 96700292 98386925 104138776 112442200 114729160 120875365 121091600 125935264 130173470 143411450 148769680 157419080 163898800 169225511 176506400 184693600 185962100 193400584 196773850 208277552 224884400 229458320 241750730 242183200 260346940 286822900 297539360 314838160 325433675 327797600 338451022 371924200 386801168 393547700 416555104 449768800 458916640 483501460 520693880 573645800 604376825 629676320 650867350 676902044 743848400 773602336 787095400 846127555 967002920 1041387760 1147291600 1208753650 1301734700 1353804088 1487696800 1574190800 1692255110 1934005840 2082775520 2294583200 2417507300 2603469400 2707608176 3148381600 3384510220 3868011680 4230637775 4835014600 5206938800 5415216352 6769020440 8461275550 9670029200 10413877600 13538040880 16922551100 19340058400 27076081760 33845102200 67690204400 135380408800
- Sum of all divisors σ(n): 423857871360
- Sum of proper divisors (its aliquot sum) s(n): 288477462560
- 135380408800 is an abundant number, because the sum of its proper divisors (288477462560) is greater than itself. Its abundance is 153097053760
Bases of 135380408800
- Binary: 11111100001010100110100011001111000002
- Hexadecimal: 0x1F854D19E0
- Base-36: 1Q6XZZZ4
Squares and roots of 135380408800
- 135380408800 squared (1353804088002) is 18327855086855117440000
- 135380408800 cubed (1353804088003) is 2481232514085605305399209472000000
-
The
square root of 135380408800 is 367940.7680592081 -
The
cube root of 135380408800 is 5134.7417649175
Scales and comparisons
How big is 135380408800?- 135,380,408,800 seconds is equal to 4,304 years, 35 weeks, 1 day, 21 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,380,408,800 would take you about eight thousand, six hundred nine 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 135380408800 cubic inches would be around 427.9 feet tall.
Recreational maths with 135380408800
- 135380408800 backwards is 008804083531
- 135380408800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135380408800's digits is 40
- More coming soon!
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