3401134313472
3,401,134,313,472 is an even composite number composed of six prime numbers multiplied together.
3401134313472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 3401134313472:
212 × 36 × 7 × 29 × 31 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 29 × 31 × 181)See below for interesting mathematical facts about the number 3401134313472 from the Numbermatics database.
Names of 3401134313472
- Cardinal: 3401134313472 can be written as Three trillion, four hundred one billion, one hundred thirty-four million, three hundred thirteen thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 3.401134313472 × 1012
Factors of 3401134313472
Divisors of 3401134313472
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 31 32 36 42 48 54 56 58 62 63 64 72 81 84 87 93 96 108 112 116 124 126 128 144 162 168 174 181 186 189 192 203 216 217 224 232 243 248 252 256 261 279 288 324 336 348 362 372 378 384 406 432 434 448 464 486 496 504 512 522 543 558 567 576 609 648 651 672 696 724 729 744 756 768 783 812 837 864 868 896 899 928 972 992 1008 1024 1044 1086 1116 1134 1152 1218 1267 1296 1302 1344 1392 1448 1458 1488 1512 1536 1566 1624 1629 1674 1701 1728 1736 1792 1798 1827 1856 1944 1953 1984 2016 2048 2088 2172 2232 2268 2304 2349 2436 2511 2534 2592 2604 2688 2697 2784 2896 2916 2976 3024 3072 3132 3248 3258 3348 3402 3456 3472 3584 3596 3654 3712 3801 3888 3906 3968 4032 4096 4176 4344 4464 4536 4608 4698 4872 4887 5022 5068 5103 5184 5208 5249 5376 5394 5481 5568 5611 5792 5832 5859 5952 6048 6144 6264 6293 6496 6516 6696 6804 6912 6944 7047 7168 7192 7308 7424 7533 7602 7776 7812 7936 8064 8091 8352 8688 8928 9072 9216 9396 9744 9774 10044 10136 10206 10368 10416 10498 10752 10788 10962 11136 11222 11403 11584 11664 11718 11904 12096 12288 12528 12586 12992 13032 13392 13608 13824 13888 14094 14336 14384 14616 14661 14848 15066 15204 15552 15624 15747 15872 16128 16182 16443 16704 16833 17376 17577 17856 18144 18432 18792 18879 19488 19548 20088 20272 20412 20736 20832 20996 21141 21504 21576 21924 22272 22444 22599 22806 23168 23328 23436 23808 24192 24273 25056 25172 25984 26064 26784 27216 27648 27776 28188 28672 28768 29232 29322 29696 30132 30408 31104 31248 31494 31744 32256 32364 32886 33408 33666 34209 34752 35154 35712 36288 36743 36864 37584 37758 38976 39096 39277 40176 40544 40824 41472 41664 41992 42282 43008 43152 43848 43983 44544 44888 45198 45612 46336 46656 46872 47241 47616 48384 48546 49329 50112 50344 50499 51968 52128 52731 53568 54432 55296 55552 56376 56637 57536 58464 58644 59392 60264 60816 62208 62496 62988 63488 64512 64728 65772 66816 67332 68418 69504 70308 71424 72576 72819 73486 75168 75516 77952 78192 78554 80352 81088 81648 82944 83328 83984 84564 86016 86304 87696 87966 89088 89776 90396 91224 92672 93312 93744 94482 95232 96768 97092 98658 100224 100688 100998 102627 103936 104256 105462 107136 108864 110229 110592 111104 112752 113274 115072 116928 117288 117831 118784 120528 121632 124416 124992 125976 126976 129024 129456 131544 131949 133632 134664 136836 139008 140616 141723 142848 145152 145638 146972 147987 150336 151032 151497 155904 156384 157108 158193 160704 162176 162719 163296 165888 166656 167968 169128 169911 172608 175392 175932 178176 179552 180792 182448 185344 186624 187488 188964 190464 193536 194184 197316 200448 201376 201996 205254 207872 208512 210924 214272 217728 218457 220458 222208 225504 226548 230144 233856 234576 235662 241056 243264 248832 249984 251952 258048 258912 263088 263898 267264 269328 273672 278016 281232 283446 285696 290304 291276 293944 295974 300672 302064 302994 307881 311808 312768 314216 316386 321408 324352 325438 326592 330687 331776 333312 335936 338256 339822 345216 350784 351864 353493 356352 359104 361584 364896 370688 373248 374976 377928 380928 387072 388368 394632 400896 402752 403992 410508 415744 417024 421848 425169 428544 435456 436914 440916 444416 451008 453096 454491 460288 467712 469152 471324 482112 486528 488157 497664 499968 503904 509733 517824 526176 527796 534528 538656 547344 556032 562464 566892 571392 580608 582552 587888 591948 601344 604128 605988 615762 623616 625536 628432 632772 642816 648704 650876 653184 655371 661374 666624 671872 676512 679644 690432 701568 703728 706986 718208 723168 729792 741376 746496 749952 755856 774144 776736 789264 801792 805504 807984 821016 831488 834048 843696 850338 857088 870912 873828 881832 888832 902016 906192 908982 920576 923643 935424 938304 942648 964224 973056 976314 992061 995328 999936 1007808 1019466 1035648 1052352 1055592 1060479 1069056 1077312 1094688 1112064 1124928 1133784 1139033 1142784 1161216 1165104 1175776 1183896 1202688 1208256 1211976 1231524 1247232 1251072 1256864 1265544 1275507 1285632 1297408 1301752 1306368 1310742 1322748 1333248 1343744 1353024 1359288 1363473 1380864 1403136 1407456 1413972 1436416 1446336 1459584 1464471 1492992 1499904 1511712 1529199 1553472 1578528 1603584 1611008 1615968 1642032 1668096 1687392 1700676 1714176 1741824 1747656 1763664 1804032 1812384 1817964 1841152 1847286 1870848 1876608 1885296 1928448 1946112 1952628 1984122 1999872 2015616 2038932 2071296 2104704 2111184 2120958 2154624 2189376 2224128 2249856 2267568 2278066 2322432 2330208 2351552 2367792 2405376 2416512 2423952 2463048 2494464 2502144 2513728 2531088 2551014 2571264 2594816 2603504 2612736 2621484 2645496 2666496 2687488 2706048 2718576 2726946 2761728 2806272 2814912 2827944 2872832 2892672 2919168 2928942 2976183 2985984 2999808 3023424 3058398 3106944 3157056 3181437 3207168 3222016 3231936 3284064 3336192 3374784 3401352 3417099 3428352 3483648 3495312 3527328 3608064 3624768 3635928 3682304 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35030016 35147304 35714196 35997696 36281088 36449056 36700776 37283328 37624832 37884672 38177244 38664192 38783232 39408768 39540717 40219648 40497408 40816224 41005188 41656064 41943744 42327936 43296768 43497216 43631136 45038592 45247104 46282752 46706688 46863072 47618928 48374784 48934368 49711104 50512896 50902992 51710976 52545024 52720956 53571294 53996544 54421632 54673584 55924992 56437248 57265866 57996288 58174848 59113152 60051456 60329472 61224336 61507782 62484096 63491904 64499712 65245824 65446704 67350528 67557888 67870656 68947968 70060032 70294608 71428392 71995392 72562176 72898112 73401552 74566656 75249664 75769344 76354488 77328384 77566464 78817536 79081434 80439296 80994816 81632448 82010376 83312128 83887488 84655872 86593536 86994432 87262272 90077184 90494208 92261673 92565504 93726144 95237856 96749568 97868736 99422208 101025792 101805984 103421952 105090048 105441912 107142588 107993088 108843264 109347168 111849984 112874496 114531732 115992576 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465398784 472905216 474488604 482635776 489794688 492062256 499872768 507935232 521966592 523573632 540463104 542965248 553570038 562356864 571427136 580497408 583184896 587212416 606154752 610835904 620531712 630540288 632651472 647958528 653059584 656083008 666497024 671099904 677246976 695955456 698098176 723953664 738093384 749809152 761902848 782949888 814447872 830355057 843535296 857140704 870746112 874777344 894799872 916253856 930797568 945810432 948977208 979589376 984124512 999745536 1015870464 1043933184 1047147264 1085930496 1107140076 1124713728 1142854272 1166369792 1174424832 1221671808 1261080576 1265302944 1306119168 1312166016 1342199808 1354493952 1396196352 1447907328 1476186768 1499618304 1523805696 1565899776 1628895744 1660710114 1687070592 1714281408 1741492224 1749554688 1832507712 1861595136 1891620864 1897954416 1959178752 1968249024 1999491072 2031740928 2087866368 2094294528 2171860992 2214280152 2249427456 2285708544 2332739584 2348849664 2443343616 2530605888 2612238336 2624332032 2684399616 2792392704 2952373536 2999236608 3047611392 3131799552 3257791488 3321420228 3374141184 3428562816 3499109376 3665015424 3783241728 3795908832 3918357504 3936498048 4063481856 4188589056 4343721984 4428560304 4498854912 4571417088 4665479168 4697699328 4886687232 5061211776 5224476672 5248664064 5584785408 5904747072 5998473216 6095222784 6263599104 6515582976 6642840456 6748282368 6857125632 6998218752 7330030848 7591817664 7836715008 7872996096 8377178112 8857120608 8997709824 9142834176 9395398656 9773374464 10122423552 10497328128 11809494144 12190445568 13031165952 13285680912 13496564736 13714251264 13996437504 14660061696 15183635328 15673430016 15745992192 16754356224 17714241216 17995419648 18285668352 18790797312 19546748928 20244847104 20994656256 23618988288 26571361824 26993129472 27428502528 29320123392 30367270656 31491984384 35428482432 36571336704 39093497856 40489694208 41989312512 47237976576 53142723648 53986258944 54857005056 58640246784 60734541312 62983968768 70856964864 80979388416 94475953152 106285447296 109714010112 117280493568 121469082624 125967937536 141713929728 161958776832 188951906304 212570894592 242938165248 283427859456 377903812608 425141789184 485876330496 566855718912 850283578368 1133711437824 1700567156736 3401134313472
- Sum of all divisors σ(n): 12513814010880
- Sum of proper divisors (its aliquot sum) s(n): 9112679697408
- 3401134313472 is an abundant number, because the sum of its proper divisors (9112679697408) is greater than itself. Its abundance is 5711545383936
Bases of 3401134313472
- Binary: 1100010111111000110110011100010000000000002
- Hexadecimal: 0x317E3671000
- Base-36: 17EGJK000
Squares and roots of 3401134313472
- 3401134313472 squared (34011343134722) is 11567714618276652760694784
- 3401134313472 cubed (34011343134723) is 39343351116672381931011787685571330048
-
The
square root of 3401134313472 is 1844216.4497346833 -
The
cube root of 3401134313472 is 15038.6179928257
Scales and comparisons
How big is 3401134313472?- 3,401,134,313,472 seconds is equal to 108,145 years, 28 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 3,401,134,313,472 would take you about two hundred seventy thousand, three hundred sixty-three 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 3401134313472 cubic inches would be around 1253.2 feet tall.
Recreational maths with 3401134313472
- 3401134313472 backwards is 2743134311043
- 3401134313472 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3401134313472's digits is 36
- More coming soon!
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"Number 3401134313472 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 3401134313472 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/3401134313472/
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The information we have on file for 3401134313472 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 3401134313472, math, Factors of 3401134313472, curriculum, school, college, exams, university, Prime factorization of 3401134313472, STEM, science, technology, engineering, physics, economics, calculator, three trillion, four hundred one billion, one hundred thirty-four million, three hundred thirteen thousand, four hundred seventy-two.