149968401408
149,968,401,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 149968401408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 792 divisors.
149968401408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 149968401408:
210 × 32 × 7 × 312 × 41 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 31 × 31 × 41 × 59)See below for interesting mathematical facts about the number 149968401408 from the Numbermatics database.
Names of 149968401408
- Cardinal: 149968401408 can be written as One hundred forty-nine billion, nine hundred sixty-eight million, four hundred one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.49968401408 × 1011
Factors of 149968401408
Divisors of 149968401408
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 41 42 48 56 59 62 63 64 72 82 84 93 96 112 118 123 124 126 128 144 164 168 177 186 192 217 224 236 246 248 252 256 279 287 288 328 336 354 369 372 384 413 434 448 472 492 496 504 512 531 558 574 576 651 656 672 708 738 744 768 826 861 868 896 944 961 984 992 1008 1024 1062 1116 1148 1152 1239 1271 1302 1312 1344 1416 1476 1488 1536 1652 1722 1736 1792 1829 1888 1922 1953 1968 1984 2016 2124 2232 2296 2304 2419 2478 2542 2583 2604 2624 2688 2832 2883 2952 2976 3072 3304 3444 3472 3584 3658 3717 3776 3813 3844 3906 3936 3968 4032 4248 4464 4592 4608 4838 4956 5084 5166 5208 5248 5376 5487 5664 5766 5904 5952 6608 6727 6888 6944 7168 7257 7316 7434 7552 7626 7688 7812 7872 7936 8064 8496 8649 8897 8928 9184 9216 9676 9912 10168 10332 10416 10496 10752 10974 11328 11439 11532 11808 11904 12803 13216 13454 13776 13888 14514 14632 14868 15104 15252 15376 15624 15744 15872 16128 16461 16933 16992 17298 17794 17856 18368 19352 19824 20181 20336 20664 20832 20992 21504 21771 21948 22656 22878 23064 23616 23808 25606 26432 26691 26908 27552 27776 29028 29264 29736 30208 30504 30752 31248 31488 31744 32256 32922 33866 33984 34596 35588 35712 36736 38409 38704 39401 39648 40362 40672 41328 41664 41984 43542 43896 45312 45756 46128 47232 47616 50799 51212 52864 53382 53816 55104 55552 56699 58056 58528 59472 60416 60543 61008 61504 62496 62976 64512 65844 67732 67968 69192 71176 71424 73472 74989 76818 77408 78802 79296 80073 80724 81344 82656 83328 87084 87792 90624 91512 92256 94464 95232 101598 102424 105728 106764 107632 110208 111104 113398 115227 116112 117056 118203 118944 121086 122016 123008 124992 125952 131688 135464 135936 138384 142352 142848 146944 149978 152397 153636 154816 157604 158592 160146 161448 162688 165312 166656 170097 174168 175584 181248 183024 184512 188928 203196 204848 211456 213528 215264 220416 222208 224967 226796 230454 232224 234112 236406 237888 242172 244032 246016 249984 263376 270928 271872 275807 276768 284704 285696 293888 299956 304794 307272 309632 315208 317184 320292 322896 325376 330624 333312 340194 348336 351168 354609 366048 369024 377856 396893 406392 409696 422912 427056 430528 440832 449934 453592 460908 464448 468224 472812 475776 484344 488064 492032 499968 510291 524923 526752 541856 543744 551614 553536 569408 599912 609588 614544 619264 630416 634368 640584 645792 650752 661248 666624 674901 680388 696672 702336 709218 732096 738048 793786 812784 819392 827421 854112 861056 881664 899868 907184 921816 928896 936448 945624 951552 968688 976128 984064 999936 1020582 1049846 1053504 1083712 1103228 1107072 1138816 1190679 1199824 1219176 1229088 1238528 1260832 1268736 1281168 1291584 1301504 1322496 1349802 1360776 1393344 1404672 1418436 1464192 1476096 1574769 1587572 1625568 1638784 1654842 1708224 1722112 1799736 1814368 1843632 1857792 1872896 1891248 1903104 1937376 1952256 1999872 2041164 2099692 2107008 2167424 2206456 2214144 2277632 2324659 2381358 2399648 2438352 2458176 2477056 2482263 2521664 2562336 2583168 2644992 2699604 2721552 2786688 2809344 2836872 2928384 2952192 3149538 3175144 3251136 3277568 3309684 3416448 3444224 3572037 3599472 3628736 3687264 3715584 3782496 3806208 3874752 3904512 4082328 4199384 4214016 4334848 4412912 4428288 4555264 4649318 4724307 4762716 4799296 4876704 4916352 4964526 5043328 5124672 5166336 5399208 5443104 5573376 5618688 5673744 5856768 6299076 6350288 6502272 6555136 6619368 6832896 6888448 6973977 7144074 7198944 7257472 7374528 7431168 7564992 7749504 8164656 8398768 8428032 8669696 8825824 8856576 9110528 9298636 9448614 9525432 9598592 9753408 9832704 9929052 10086656 10249344 10332672 10798416 10886208 11146752 11347488 11713536 12598152 12700576 13004544 13110272 13238736 13665792 13947954 14288148 14397888 14514944 14749056 15129984 15499008 16272613 16329312 16797536 16856064 17339392 17651648 18597272 18897228 19050864 19197184 19506816 19665408 19858104 20173312 20498688 20665344 20921931 21596832 21772416 22293504 22694976 25196304 25401152 26009088 26477472 27331584 27895908 28576296 28795776 29029888 29498112 30259968 30998016 32545226 32658624 33595072 35303296 37194544 37794456 38101728 38394368 39013632 39330816 39716208 40346624 40997376 41843862 43193664 43544832 45389952 48817839 50392608 50802304 52018176 52954944 55791816 57152592 57591552 58059776 58996224 60519936 61996032 65090452 65317248 67190144 70606592 74389088 75588912 76203456 76788736 78027264 79432416 81994752 83687724 86387328 87089664 90779904 97635678 100785216 101604608 105909888 111583632 114305184 115183104 117992448 121039872 130180904 130634496 134380288 141213184 146453517 148778176 151177824 152406912 156054528 158864832 167375448 172774656 174179328 181559808 195271356 201570432 203209216 211819776 223167264 228610368 230366208 260361808 261268992 268760576 282426368 292907034 297556352 302355648 304813824 317729664 334750896 345549312 363119616 390542712 403140864 406418432 423639552 446334528 457220736 520723616 522537984 537521152 585814068 595112704 604711296 609627648 635459328 669501792 691098624 781085424 806281728 847279104 892669056 914441472 1041447232 1171628136 1190225408 1209422592 1219255296 1270918656 1339003584 1562170848 1612563456 1785338112 1828882944 2082894464 2343256272 2380450816 2418845184 2541837312 2678007168 3124341696 3570676224 3657765888 4165788928 4686512544 4837690368 5356014336 6248683392 7141352448 8331577856 9373025088 10712028672 12497366784 16663155712 18746050176 21424057344 24994733568 37492100352 49989467136 74984200704 149968401408
- Sum of all divisors σ(n): 532722415680
- Sum of proper divisors (its aliquot sum) s(n): 382754014272
- 149968401408 is an abundant number, because the sum of its proper divisors (382754014272) is greater than itself. Its abundance is 232785612864
Bases of 149968401408
- Binary: 100010111010101101000000110100000000002
- Hexadecimal: 0x22EAD03400
- Base-36: 1WW7BB40
Squares and roots of 149968401408
- 149968401408 squared (1499684014082) is 22490521420871016382464
- 149968401408 cubed (1499684014083) is 3372867544320407093838305204109312
-
The
square root of 149968401408 is 387257.5388652879 -
The
cube root of 149968401408 is 5312.9197251055
Scales and comparisons
How big is 149968401408?- 149,968,401,408 seconds is equal to 4,768 years, 27 weeks, 4 days, 9 hours, 16 minutes, 48 seconds.
-
To count from 1 to 149,968,401,408 would take you about nine thousand, five hundred thirty-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 149968401408 cubic inches would be around 442.7 feet tall.
Recreational maths with 149968401408
- 149968401408 backwards is 804104869941
- The number of decimal digits it has is: 12
- The sum of 149968401408's digits is 54
- More coming soon!
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The information we have on file for 149968401408 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!
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