830135953920
830,135,953,920 is an even composite number composed of six prime numbers multiplied together.
830135953920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 830135953920:
29 × 3 × 5 × 74 × 13 × 3463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 3463)See below for interesting mathematical facts about the number 830135953920 from the Numbermatics database.
Names of 830135953920
- Cardinal: 830135953920 can be written as Eight hundred thirty billion, one hundred thirty-five million, nine hundred fifty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 8.3013595392 × 1011
Factors of 830135953920
Divisors of 830135953920
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 128 130 140 147 156 160 168 182 192 195 196 208 210 224 240 245 256 260 273 280 294 312 320 336 343 364 384 390 392 416 420 448 455 480 490 512 520 546 560 588 624 637 640 672 686 728 735 768 780 784 832 840 896 910 960 980 1029 1040 1092 1120 1176 1248 1274 1280 1344 1365 1372 1456 1470 1536 1560 1568 1664 1680 1715 1792 1820 1911 1920 1960 2058 2080 2184 2240 2352 2401 2496 2548 2560 2688 2730 2744 2912 2940 3120 3136 3185 3328 3360 3430 3463 3584 3640 3822 3840 3920 4116 4160 4368 4459 4480 4704 4802 4992 5096 5145 5376 5460 5488 5824 5880 6240 6272 6370 6656 6720 6860 6926 7203 7280 7644 7680 7840 8232 8320 8736 8918 8960 9408 9555 9604 9984 10192 10290 10389 10752 10920 10976 11648 11760 12005 12480 12544 12740 13377 13440 13720 13852 14406 14560 15288 15680 16464 16640 17315 17472 17836 17920 18816 19110 19208 19968 20384 20580 20778 21840 21952 22295 23296 23520 24010 24241 24960 25088 25480 26754 26880 27440 27704 28812 29120 30576 31213 31360 32928 33280 34630 34944 35672 36015 37632 38220 38416 40768 41160 41556 43680 43904 44590 45019 46592 47040 48020 48482 49920 50960 51945 53508 53760 54880 55408 57624 58240 61152 62426 62720 65856 66885 69260 69888 71344 72030 72723 75264 76440 76832 81536 82320 83112 87360 87808 89180 90038 93639 94080 96040 96964 99840 101920 103890 107016 109760 110816 115248 116480 121205 122304 124852 125440 131712 133770 135057 138520 139776 142688 144060 145446 152880 153664 156065 163072 164640 166224 169687 174720 175616 178360 180076 187278 188160 192080 193928 203840 207780 214032 219520 221632 225095 230496 232960 242410 244608 249704 263424 267540 270114 277040 285376 288120 290892 305760 307328 312130 315133 326144 329280 332448 339374 349440 356720 360152 363615 374556 376320 384160 387856 407680 415560 428064 439040 443264 450190 460992 468195 484820 489216 499408 509061 526848 535080 540228 554080 570752 576240 581784 611520 614656 624260 630266 658560 664896 675285 678748 698880 713440 720304 727230 749112 768320 775712 815360 831120 848435 856128 878080 886528 900380 921984 936390 945399 969640 978432 998816 1018122 1070160 1080456 1108160 1141504 1152480 1163568 1187809 1223040 1229312 1248520 1260532 1317120 1329792 1350570 1357496 1426880 1440608 1454460 1498224 1536640 1551424 1575665 1630720 1662240 1696870 1712256 1773056 1800760 1843968 1872780 1890798 1939280 1997632 2036244 2140320 2160912 2205931 2216320 2283008 2304960 2327136 2375618 2446080 2497040 2521064 2545305 2634240 2659584 2701140 2714992 2853760 2881216 2908920 2996448 3073280 3102848 3151330 3324480 3393740 3424512 3563427 3601520 3687936 3745560 3781596 3878560 3995264 4072488 4280640 4321824 4411862 4432640 4609920 4654272 4726995 4751236 4892160 4994080 5042128 5090610 5319168 5402280 5429984 5707520 5762432 5817840 5939045 5992896 6146560 6205696 6302660 6617793 6648960 6787480 6849024 7126854 7203040 7491120 7563192 7757120 7990528 8144976 8314663 8561280 8643648 8823724 8865280 9219840 9308544 9453990 9502472 9988160 10084256 10181220 10804560 10859968 11029655 11415040 11524864 11635680 11878090 11985792 12411392 12605320 13235586 13297920 13574960 14253708 14406080 14982240 15126384 15441517 15514240 15981056 16289952 16629326 17122560 17287296 17647448 17817135 18439680 18617088 18907980 19004944 19976320 20168512 20362440 21609120 21719936 22059310 23049728 23271360 23756180 23971584 24943989 25210640 26471172 26595840 27149920 28507416 28812160 29964480 30252768 30883034 31028480 32579904 33088965 33258652 34245120 34574592 35294896 35634270 37234176 37815960 38009888 39952640 40337024 40724880 41573315 43218240 43439872 44118620 46324551 46542720 47512360 47943168 49887978 50421280 52942344 54299840 57014832 57624320 59928960 60505536 61766068 62056960 65159808 66177930 66517304 69149184 70589792 71268540 75631920 76019776 77207585 79905280 80674048 81449760 83146630 86436480 86879744 88237240 92649102 93085440 95024720 99775956 100842560 105884688 108090619 108599680 114029664 115248640 119857920 121011072 123532136 124719945 130319616 132355860 133034608 141179584 142537080 151263840 152039552 154415170 161348096 162899520 166293260 172872960 176474480 185298204 186170880 190049440 199551912 201685120 211769376 216181238 217199360 228059328 231622755 239715840 242022144 247064272 249439890 260639232 264711720 266069216 282359168 285074160 302527680 304079104 308830340 324271857 325799040 332586520 345745920 352948960 370596408 380098880 399103824 403370240 423538752 432362476 434398720 456118656 463245510 484044288 494128544 498879780 529423440 532138432 540453095 564718336 570148320 605055360 608158208 617660680 648543714 651598080 665173040 705897920 741192816 760197760 798207648 806740480 847077504 864724952 912237312 926491020 988257088 997759560 1058846880 1064276864 1080906190 1129436672 1140296640 1210110720 1235321360 1297087428 1303196160 1330346080 1411795840 1482385632 1520395520 1596415296 1621359285 1694155008 1729449904 1824474624 1852982040 1976514176 1995519120 2117693760 2128553728 2161812380 2280593280 2420221440 2470642720 2594174856 2660692160 2823591680 2964771264 3040791040 3192830592 3242718570 3388310016 3458899808 3705964080 3953028352 3991038240 4235387520 4257107456 4323624760 4561186560 4941285440 5188349712 5321384320 5647183360 5929542528 6385661184 6485437140 6917799616 7411928160 7906056704 7982076480 8470775040 8647249520 9122373120 9882570880 10376699424 10642768640 11859085056 12771322368 12970874280 13835599232 14823856320 15964152960 16941550080 17294499040 19765141760 20753398848 21285537280 23718170112 25941748560 27671198464 29647712640 31928305920 34588998080 39530283520 41506797696 51883497120 55342396928 59295425280 63856611840 69177996160 83013595392 103766994240 118590850560 138355992320 166027190784 207533988480 276711984640 415067976960 830135953920
- Sum of all divisors σ(n): 3335077291392
- Sum of proper divisors (its aliquot sum) s(n): 2504941337472
- 830135953920 is an abundant number, because the sum of its proper divisors (2504941337472) is greater than itself. Its abundance is 1674805383552
Bases of 830135953920
- Binary: 11000001010001111111010101101010000000002
- Hexadecimal: 0xC147F56A00
- Base-36: ALCXIHHC
Squares and roots of 830135953920
- 830135953920 squared (8301359539202) is 689125701990668363366400
- 830135953920 cubed (8301359539203) is 572068021992813124761531646476288000
-
The
square root of 830135953920 is 911117.9692663295 -
The
cube root of 830135953920 is 9398.3094663195
Scales and comparisons
How big is 830135953920?- 830,135,953,920 seconds is equal to 26,395 years, 39 weeks, 2 days, 32 minutes.
-
To count from 1 to 830,135,953,920 would take you about fifty-two thousand, seven hundred ninety-one 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 830135953920 cubic inches would be around 783.2 feet tall.
Recreational maths with 830135953920
- 830135953920 backwards is 029359531038
- 830135953920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 830135953920's digits is 48
- More coming soon!
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