398135008128

Names of 398135008128

• Cardinal: 398135008128 can be written as Three hundred ninety-eight billion, one hundred thirty-five million, eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.98135008128 × 10¹¹

Factors of 398135008128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 468

Divisors of 398135008128

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 57 64 66 76 78 88 96 104 113 114 121 128 132 143 152 156 176 192 208 209 226 228 242 247 264 286 304 307 312 339 352 363 384 416 418 429 452 456 484 494 528 572 608 614 624 627 678 704 726 741 832 836 858 904 912 921 968 988 1056 1144 1216 1228 1243 1248 1254 1356 1408 1452 1469 1482 1573 1664 1672 1716 1808 1824 1842 1936 1976 2112 2147 2288 2299 2432 2456 2486 2496 2508 2712 2717 2904 2938 2964 3146 3344 3377 3432 3616 3648 3684 3729 3872 3952 3991 4224 4294 4407 4576 4598 4719 4912 4972 4992 5016 5424 5434 5808 5833 5876 5928 6292 6441 6688 6754 6864 6897 7232 7296 7368 7458 7744 7904 7982 8151 8588 8814 9152 9196 9438 9824 9944 10032 10131 10848 10868 11616 11666 11752 11856 11973 12584 12882 13376 13508 13673 13728 13794 14464 14736 14916 15488 15808 15964 16159 16302 17176 17499 17628 18304 18392 18876 19648 19888 20064 20262 21696 21736 23232 23332 23504 23617 23712 23946 25168 25764 26752 27016 27346 27456 27588 27911 29472 29832 29887 31616 31928 32318 32604 34352 34691 34998 35256 36784 37147 37752 39296 39776 40128 40524 41019 43392 43472 43901 46464 46664 47008 47234 47424 47892 48477 50336 51528 54032 54692 54912 55176 55822 58944 59664 59774 63856 64163 64636 65208 68704 69382 69996 70512 70851 73568 74294 75504 75829 79552 80256 81048 82038 83733 86944 87802 89661 93328 94016 94468 94848 95784 96954 100672 103056 104073 108064 109384 110352 111441 111644 117888 119328 119548 127712 128326 129272 130416 131703 137408 138764 139992 141024 141702 147136 148588 151008 151658 159104 162096 164076 167466 173888 175604 177749 179322 186656 188032 188936 191568 192489 193908 201344 206112 208146 216128 218768 220704 222882 223288 227487 238656 239096 255424 256652 258544 259787 260832 263406 274816 277528 279984 282048 283404 294272 297176 302016 303316 307021 324192 328152 334932 347776 351208 355498 358644 373312 377872 381601 383136 384978 387816 412224 416292 432256 437536 441408 445764 446576 450983 454974 477312 478192 482911 510848 513304 517088 519574 521664 526812 533247 555056 559968 564096 566808 594352 604032 606632 614042 648384 656304 659129 669864 702416 705793 710996 717288 746624 755744 763202 766272 769956 775632 779361 824448 832584 834119 875072 882816 891528 893152 901966 909948 921063 956384 965822 1026608 1034176 1039148 1043328 1053624 1066494 1110112 1119936 1133616 1144803 1188704 1213264 1228084 1296768 1312608 1318258 1339728 1352949 1404832 1411586 1421992 1434576 1448733 1511488 1526404 1532544 1539912 1551264 1558722 1665168 1668238 1750144 1783056 1786304 1803932 1819896 1842126 1912768 1931644 1977387 2053216 2068352 2078296 2107248 2117379 2132988 2220224 2239872 2267232 2289606 2377408 2426528 2456168 2502357 2625216 2636516 2679456 2705898 2809664 2823172 2843984 2869152 2897466 3022976 3052808 3079824 3102528 3117444 3330336 3336476 3377231 3566112 3572608 3607864 3639792 3684252 3825536 3863288 3954774 4106432 4156592 4197611 4214496 4234758 4265976 4440448 4534464 4579212 4754816 4853056 4912336 4960813 5004714 5250432 5273032 5358912 5411796 5619328 5646344 5687968 5738304 5794932 6105616 6159648 6205056 6234888 6660672 6672952 6754462 7132224 7215728 7250419 7279584 7368504 7726576 7909548 8212864 8313184 8395222 8428992 8469516 8531952 8568677 9068928 9158424 9175309 9706112 9824672 9921626 10009428 10131693 10546064 10717824 10823592 11292688 11375936 11476608 11589864 12211232 12319296 12469776 12592833 13321344 13345904 13508924 14264448 14431456 14500838 14559168 14737008 14882439 15453152 15819096 16626368 16790444 16857984 16939032 17063904 17137354 18316848 18350618 19649344 19843252 20018856 20263386 21092128 21647184 21751257 22585376 22751872 23179728 24422464 24638592 24939552 25185666 25706031 26691808 27017848 27525927 28862912 29001676 29118336 29474016 29764878 30906304 31638192 33252736 33580888 33878064 34127808 34274708 36633696 36701236 39298688 39686504 40037712 40526772 42184256 43294368 43502514 45170752 46359456 48844928 49879104 50371332 51412062 53383616 54035696 54568943 55051854 57725824 58003352 58948032 59529756 61812608 63276384 67161776 67756128 68255616 68549416 73267392 73402472 79373008 79754609 80075424 81053544 84368512 86588736 87005028 90341504 92718912 94255447 99758208 100742664 102824124 106767232 108071392 109137886 110103708 116006704 117896064 119059512 126552768 134323552 135512256 137098832 146534784 146804944 158746016 159509218 160150848 162107088 163706829 173177472 174010056 185437824 188510894 201485328 205648248 216142784 218275772 220207416 232013408 238119024 239263827 253105536 268647104 271024512 274197664 282766341 293609888 317492032 319018436 320301696 324214176 327413658 348020112 377021788 402970656 411296496 432285568 436551544 440414832 464026816 476238048 478527654 537294208 548395328 565532682 587219776 634984064 638036872 648428352 654827316 696040224 754043576 805941312 822592992 873103088 880829664 928053632 952476096 957055308 1036809917 1096790656 1131065364 1174439552 1276073744 1296856704 1309654632 1392080448 1508087152 1611882624 1645185984 1746206176 1761659328 1904952192 1914110616 2073619834 2262130728 2552147488 2619309264 2784160896 3016174304 3110429751 3290371968 3492412352 3523318656 3828221232 4147239668 4524261456 5104294976 5238618528 6032348608 6220859502 6984824704 7656442464 8294479336 9048522912 10208589952 10477237056 12064697216 12441719004 15312884928 16588958672 18097045824 20954474112 24883438008 30625769856 33177917344 36194091648 49766876016 66355834688 99533752032 132711669376 199067504064 398135008128
• Sum of all divisors σ(n): 1333722297600
• Sum of proper divisors (its aliquot sum) s(n): 935587289472
• 398135008128 is an abundant number, because the sum of its proper divisors (935587289472) is greater than itself. Its abundance is 537452281344

Bases of 398135008128

• Binary: 101110010110010101100100001101110000000₂
• Hexadecimal: 0x5CB2B21B80
• Base-36: 52WFAYDC

Squares and roots of 398135008128

• 398135008128 squared (398135008128²) is 158511484697082626064384
• 398135008128 cubed (398135008128³) is 63108971248254338946031108491313152
• The square root of 398135008128 is 630979.4038857369
• The cube root of 398135008128 is 7356.5940061211

Scales and comparisons

• 398,135,008,128 seconds is equal to 12,659 years, 24 weeks, 1 hour, 48 minutes, 48 seconds.
• To count from 1 to 398,135,008,128 would take you about twenty-five thousand, three hundred eighteen 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 398135008128 cubic inches would be around 613 feet tall.

Recreational maths with 398135008128

• 398135008128 backwards is 821800531893
• 398135008128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 398135008128's digits is 48
• More coming soon!