3400994937005120
3,400,994,937,005,120 is an even composite number composed of six prime numbers multiplied together.
3400994937005120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 3400994937005120:
26 × 5 × 72 × 132 × 22573 × 56857
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 13 × 22573 × 56857)See below for interesting mathematical facts about the number 3400994937005120 from the Numbermatics database.
Names of 3400994937005120
- Cardinal: 3400994937005120 can be written as Three quadrillion, four hundred trillion, nine hundred ninety-four billion, nine hundred thirty-seven million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.40099493700512 × 1015
Factors of 3400994937005120
Divisors of 3400994937005120
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 104 112 130 140 160 169 182 196 208 224 245 260 280 320 338 364 392 416 448 455 490 520 560 637 676 728 784 832 845 910 980 1040 1120 1183 1274 1352 1456 1568 1690 1820 1960 2080 2240 2366 2548 2704 2912 3136 3185 3380 3640 3920 4160 4732 5096 5408 5824 5915 6370 6760 7280 7840 8281 9464 10192 10816 11830 12740 13520 14560 15680 16562 18928 20384 22573 23660 25480 27040 29120 33124 37856 40768 41405 45146 47320 50960 54080 56857 66248 75712 82810 90292 94640 101920 112865 113714 132496 158011 165620 180584 189280 203840 225730 227428 264992 284285 293449 316022 331240 361168 378560 397999 451460 454856 529984 568570 586898 632044 662480 722336 739141 790055 795998 902920 909712 1106077 1137140 1173796 1264088 1324960 1444672 1467245 1478282 1580110 1591996 1805840 1819424 1989995 2054143 2212154 2274280 2347592 2528176 2649920 2785993 2934490 2956564 3160220 3183992 3611680 3638848 3695705 3814837 3979990 4108286 4424308 4548560 4695184 5056352 5173987 5530385 5571986 5868980 5913128 6320440 6367984 7223360 7391410 7629674 7959980 8216572 8848616 9097120 9390368 9608833 10112704 10270715 10347974 11060770 11143972 11737960 11826256 12640880 12735968 13929965 14379001 14782820 15259348 15919960 16433144 17697232 18194240 18780736 19074185 19217666 20541430 20695948 22121540 22287944 23475920 23652512 25281760 25471936 25869935 26703859 27859930 28758002 29565640 30518696 31839920 32866288 35394464 36217909 38148370 38435332 41082860 41391896 44243080 44575888 46951840 47305024 48044165 50563520 51739870 53407718 55719860 57516004 59131280 61037392 63679840 65732576 67261831 70788928 71895005 72435818 76296740 76870664 82165720 82783792 88486160 89151776 93903680 96088330 103479740 106815436 111439720 115032008 118262560 122074784 127359680 131465152 133519295 134523662 143790010 144871636 152593480 153741328 164331440 165567584 176972320 178303552 181089545 186927013 192176660 206959480 213630872 222879440 230064016 236525120 244149568 267038590 269047324 287580020 289743272 305186960 307482656 328662880 331135168 336309155 353944640 362179090 373854026 384353320 413918960 427261744 445758880 460128032 470832817 534077180 538094648 575160040 579486544 610373920 614965312 657325760 672618310 724358180 747708052 768706640 827837920 854523488 891517760 920256064 934635065 941665634 1068154360 1076189296 1150320080 1158973088 1220747840 1283433061 1345236620 1448716360 1495416104 1537413280 1655675840 1709046976 1869270130 1883331268 2136308720 2152378592 2300640160 2317946176 2354164085 2566866122 2690473240 2897432720 2990832208 3074826560 3738540260 3766662536 4272617440 4304757184 4601280320 4708328170 5133732244 5380946480 5794865440 5981664416 6417165305 7477080520 7533325072 8545234880 8984031427 9416656340 10267464488 10761892960 11589730880 11963328832 12834330610 14954161040 15066650144 16684629793 17968062854 18833312680 20534928976 21523785920 25668661220 29908322080 30133300288 33369259586 35936125708 37666625360 41069857952 44920157135 51337322440 59816644160 62888219989 66738519172 71872251416 75333250720 82139715904 83423148965 89840314270 102674644880 116792408551 125776439978 133477038344 143744502832 150666501440 166846297930 179680628540 205349289760 216900187309 233584817102 251552879956 266954076688 287489005664 314441099945 333692595860 359361257080 410698579520 433800374618 467169634204 503105759912 533908153376 574978011328 583962042755 628882199890 667385191720 718722514160 817546859857 867600749236 934339268408 1006211519824 1067816306752 1084500936545 1167924085510 1257764399780 1334770383440 1437445028320 1518301311163 1635093719714 1735201498472 1868678536816 2012423039648 2169001873090 2335848171020 2515528799560 2669540766880 2874890056640 3036602622326 3270187439428 3470402996944 3737357073632 4024846079296 4087734299285 4338003746180 4671696342040 5031057599120 5339081533760 6073205244652 6540374878856 6940805993888 7474714147264 7591506555815 8175468598570 8676007492360 9343392684080 10062115198240 10628109178141 12146410489304 13080749757712 13881611987776 15183013111630 16350937197140 17352014984720 18686785368160 20124230396480 21256218356282 24292820978608 26161499515424 30366026223260 32701874394280 34704029969440 37373570736320 42512436712564 48585641957216 52322999030848 53140545890705 60732052446520 65403748788560 69408059938880 85024873425128 97171283914432 106281091781410 121464104893040 130807497577120 170049746850256 212562183562820 242928209786080 261614995154240 340099493700512 425124367125640 485856419572160 680198987401024 850248734251280 1700497468502560 3400994937005120
- Sum of all divisors σ(n): 10201898928687624
- Sum of proper divisors (its aliquot sum) s(n): 6800903991682504
- 3400994937005120 is an abundant number, because the sum of its proper divisors (6800903991682504) is greater than itself. Its abundance is 3399909054677384
Bases of 3400994937005120
- Binary: 11000001010100101111110101110001101001100100010000002
- Hexadecimal: 0xC152FD71A6440
- Base-36: XHJVI6ELVK
Squares and roots of 3400994937005120
- 3400994937005120 squared (34009949370051202) is 11566766561534460157154906214400
- 3400994937005120 cubed (34009949370051203) is 39338514513298819790307116795888869612617728000
-
The
square root of 3400994937005120 is 58318049.8388373751 -
The
cube root of 3400994937005120 is 150384.1256547117
Scales and comparisons
How big is 3400994937005120?- 3,400,994,937,005,120 seconds is equal to 108,141,119 years, 1 week, 3 days, 10 hours, 45 minutes, 20 seconds.
-
To count from 1 to 3,400,994,937,005,120 would take you about three hundred twenty-four million, four hundred twenty-three thousand, three hundred fifty-seven 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 3400994937005120 cubic inches would be around 12532 feet tall.
Recreational maths with 3400994937005120
- 3400994937005120 backwards is 0215007394990043
- 3400994937005120 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3400994937005120's digits is 56
- More coming soon!
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