3138316017408
3,138,316,017,408 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3138316017408 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
3138316017408 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 3138316017408:
28 × 32 × 11 × 13 × 19 × 23 × 71 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 19 × 23 × 71 × 307)See below for interesting mathematical facts about the number 3138316017408 from the Numbermatics database.
Names of 3138316017408
- Cardinal: 3138316017408 can be written as Three trillion, one hundred thirty-eight billion, three hundred sixteen million, seventeen thousand, four hundred eight.
Scientific notation
- Scientific notation: 3.138316017408 × 1012
Factors of 3138316017408
Divisors of 3138316017408
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 23 24 26 32 33 36 38 39 44 46 48 52 57 64 66 69 71 72 76 78 88 92 96 99 104 114 117 128 132 138 142 143 144 152 156 171 176 184 192 198 207 208 209 213 228 234 247 253 256 264 276 284 286 288 299 304 307 312 342 352 368 384 396 414 416 418 426 429 437 456 468 494 506 528 552 568 572 576 598 608 614 624 627 639 684 704 736 741 759 768 781 792 828 832 836 852 858 874 897 912 921 923 936 988 1012 1056 1104 1136 1144 1152 1196 1216 1228 1248 1254 1278 1287 1311 1349 1368 1408 1472 1482 1518 1562 1584 1633 1656 1664 1672 1704 1716 1748 1794 1824 1842 1846 1872 1881 1976 2024 2112 2208 2223 2272 2277 2288 2304 2343 2392 2432 2456 2496 2508 2556 2574 2622 2691 2698 2717 2736 2763 2769 2816 2944 2964 3036 3124 3168 3266 3289 3312 3328 3344 3377 3408 3432 3496 3588 3648 3684 3692 3744 3762 3933 3952 3991 4047 4048 4224 4416 4446 4544 4554 4576 4686 4784 4807 4864 4899 4912 4992 5016 5112 5148 5244 5382 5396 5434 5472 5526 5538 5681 5833 5888 5928 6072 6248 6336 6532 6578 6624 6688 6754 6816 6864 6992 7029 7061 7176 7296 7368 7384 7488 7524 7866 7904 7982 8094 8096 8151 8307 8448 8832 8892 9088 9108 9152 9372 9568 9614 9798 9824 9867 9984 10032 10131 10153 10224 10296 10488 10764 10792 10868 10944 11052 11076 11362 11666 11856 11973 12141 12144 12496 12672 13064 13156 13248 13376 13508 13632 13728 13984 14058 14122 14352 14421 14592 14697 14736 14768 14839 14976 15048 15732 15808 15964 16188 16192 16302 16614 17043 17499 17537 17664 17784 17963 18176 18216 18304 18744 19136 19228 19596 19648 19734 20064 20262 20306 20448 20592 20976 21183 21229 21528 21584 21736 21797 21888 22104 22152 22724 23332 23712 23946 24282 24288 24453 24992 25344 26128 26312 26496 26752 27016 27264 27456 27968 28116 28244 28704 28842 29394 29472 29536 29601 29678 29952 30096 30393 30459 31027 31464 31616 31928 32376 32384 32604 33228 34086 34998 35074 35568 35919 35926 36432 36608 37488 38272 38456 39192 39296 39468 40128 40524 40612 40896 41184 41952 42366 42458 43056 43168 43263 43472 43594 43776 43901 44208 44304 44517 45448 46664 47424 47892 48564 48576 48906 49984 51129 52256 52497 52611 52624 52992 53504 53889 54032 54528 54912 55936 56232 56488 57408 57684 58788 58944 59072 59202 59356 60192 60786 60918 62054 62491 62928 63232 63549 63687 63856 64163 64752 64768 65208 65391 66456 68172 69996 70148 71136 71838 71852 72864 74976 75829 76544 76912 77671 78384 78592 78936 80256 81048 81224 81792 82368 83904 84732 84916 86112 86336 86526 86944 87188 87802 88416 88608 89034 90896 91377 91793 93081 93328 94848 95784 97128 97152 97812 99968 102258 104512 104994 105222 105248 107778 108064 109824 111872 112464 112976 114816 115368 117576 117888 118144 118404 118712 120384 121572 121836 124108 124982 125856 127098 127374 127712 128326 129504 130416 130782 131703 132912 133551 134159 136344 139992 140296 142272 143676 143704 145728 149952 151658 153824 155342 156768 157833 157872 160512 161667 162096 162448 163584 164736 167808 169464 169832 172224 172672 173052 173888 174376 175604 176832 177216 178068 181792 182754 183586 186162 186656 187473 189696 191061 191568 192489 192907 194256 194304 195624 196173 199936 204516 209024 209988 210444 210496 215556 216128 224928 225952 227487 229632 230736 233013 233519 235152 235776 236288 236808 237424 239767 240768 243144 243672 248216 249964 251712 254196 254748 255424 256652 259008 260832 261564 263406 265824 267102 268318 272688 275379 279243 279984 280592 283361 284544 287352 287408 291456 299904 303316 307648 310684 313536 315666 315744 323334 324192 324896 329472 335616 338928 339664 341297 344448 345344 346104 347776 348752 351208 353664 354432 356136 363584 365508 367172 372324 373312 374946 382122 383136 384978 385814 388512 391248 392346 395109 402477 403351 409032 414143 418048 419976 420888 420992 431112 432256 449856 451904 454974 461472 466026 467038 470304 473616 474848 479534 481536 486288 487344 496432 499928 501331 503424 508392 509496 510848 513304 518016 521664 523128 526812 531648 534204 536636 545376 550758 558486 559968 561184 562419 566722 569088 574704 574816 577467 578721 582912 599808 606632 615296 621368 627072 631332 631488 646668 648384 649792 677856 679328 682461 682594 688896 692208 695552 697504 699039 700557 702416 707328 708864 712272 719301 727168 731016 734344 744648 746624 749892 764244 766272 769956 771628 777024 782496 784692 790218 804954 806702 818064 826137 828286 834119 839952 841776 841984 850083 862224 864512 899712 903808 909948 922944 932052 934076 940608 947232 949696 959068 972576 974688 992864 999856 1002662 1006848 1009723 1016784 1018992 1021696 1023891 1026608 1036032 1043328 1046256 1053624 1063296 1068408 1073272 1090752 1101516 1116972 1119936 1122368 1124838 1133444 1149408 1149632 1154934 1157442 1207431 1210053 1213264 1230592 1242429 1242736 1254144 1262664 1262976 1293336 1296768 1299584 1355712 1358656 1364922 1365188 1384416 1395008 1398078 1401114 1404832 1424544 1438602 1454336 1462032 1468688 1475749 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652863744 656002512 669721728 685820808 689133952 690650532 705874048 710669388 742972542 775275696 775467264 786348288 794108304 797944576 834214784 838225432 850031424 851877312 860283996 874670016 897687648 914427744 920867376 929320704 938491632 943003611 947559184 954185472 960905088 990630056 1004582592 1033700928 1058811072 1066004082 1114458813 1133375232 1135836416 1147045328 1155066624 1163200896 1166226688 1196916864 1219236992 1227823168 1251322176 1257338148 1277815968 1290425994 1312005024 1339443456 1362116327 1371641616 1378267904 1381301064 1411748096 1421338776 1485945084 1550551392 1588216608 1668429568 1676450864 1700062848 1703754624 1720567992 1749340032 1795375296 1828855488 1841734752 1876983264 1886007222 1895118368 1921810176 1981260112 2009165184 2067401856 2117622144 2132008164 2228917626 2294090656 2326401792 2393833728 2438473984 2455646336 2502644352 2514676296 2555631936 2580851988 2624010048 2724232654 2743283232 2762602128 2842677552 2971890168 3101102784 3176433216 3352901728 3400125696 3407509248 3441135984 3498680064 3590750592 3657710976 3683469504 3753966528 3772014444 3790236736 3962520224 4018330368 4086348981 4134803712 4235244288 4264016328 4457835252 4588181312 4911292672 5005288704 5029352592 5111263872 5161703976 5248020096 5448465308 5486566464 5525204256 5685355104 5943780336 6202205568 6352866432 6705803456 6882271968 7181501184 7315421952 7366939008 7507933056 7544028888 7580473472 7925040448 8172697962 8528032656 8915670504 9176362624 10058705184 10222527744 10323407952 10496040192 10896930616 10973132928 11050408512 11370710208 11887560672 12259046943 12404411136 12705732864 13411606912 13764543936 14733878016 15015866112 15088057776 15160946944 15850080896 16345395924 17056065312 17831341008 18352725248 20117410368 20646815904 21793861232 21946265856 22100817024 22741420416 23775121344 24518093886 26823213824 27529087872 30176115552 31700161792 32690791848 34112130624 35662682016 40234820736 41293631808 43587722464 44201634048 45482840832 47550242688 49036187772 55058175744 60352231104 65381583696 68224261248 71325364032 80469641472 82587263616 87175444928 95100485376 98072375544 120704462208 130763167392 136448522496 142650728064 165174527232 174350889856 196144751088 241408924416 261526334784 285301456128 348701779712 392289502176 523052669568 784579004352 1046105339136 1569158008704 3138316017408
- Sum of all divisors σ(n): 11879495147520
- Sum of proper divisors (its aliquot sum) s(n): 8741179130112
- 3138316017408 is an abundant number, because the sum of its proper divisors (8741179130112) is greater than itself. Its abundance is 5602863112704
Bases of 3138316017408
- Binary: 1011011010101100100011011000011111000000002
- Hexadecimal: 0x2DAB2361F00
- Base-36: 141Q0BSW0
Squares and roots of 3138316017408
- 3138316017408 squared (31383160174082) is 9849027425119610159038464
- 3138316017408 cubed (31383160174083) is 30909360524143543892355129835165581312
-
The
square root of 3138316017408 is 1771529.2877646701 -
The
cube root of 3138316017408 is 14640.8252764191
Scales and comparisons
How big is 3138316017408?- 3,138,316,017,408 seconds is equal to 99,788 years, 38 weeks, 4 days, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 3,138,316,017,408 would take you about two hundred forty-nine thousand, four hundred seventy-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 3138316017408 cubic inches would be around 1220.1 feet tall.
Recreational maths with 3138316017408
- 3138316017408 backwards is 8047106138313
- The number of decimal digits it has is: 13
- The sum of 3138316017408's digits is 45
- More coming soon!
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"Number 3138316017408 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 3138316017408 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/3138316017408/
Chicago style:
Numbermatics. 2024. "Number 3138316017408 - Facts about the integer". https://numbermatics.com/n/3138316017408/
The information we have on file for 3138316017408 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 3138316017408, math, Factors of 3138316017408, curriculum, school, college, exams, university, Prime factorization of 3138316017408, STEM, science, technology, engineering, physics, economics, calculator, three trillion, one hundred thirty-eight billion, three hundred sixteen million, seventeen thousand, four hundred eight.