401006768448

Names of 401006768448

• Cardinal: 401006768448 can be written as Four hundred one billion, six million, seven hundred sixty-eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.01006768448 × 10¹¹

Factors of 401006768448

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 397

Divisors of 401006768448

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 19 22 24 26 31 32 33 38 39 44 48 52 57 62 64 66 76 78 88 93 96 104 114 124 132 137 143 152 156 176 181 186 192 208 209 228 247 248 264 274 286 304 312 341 352 362 372 403 411 416 418 429 456 494 496 528 543 548 572 589 608 624 627 682 704 724 741 744 806 822 832 836 858 912 988 992 1023 1056 1086 1096 1144 1178 1209 1216 1248 1254 1364 1448 1482 1488 1507 1612 1644 1672 1716 1767 1781 1824 1976 1984 1991 2046 2112 2172 2192 2288 2353 2356 2418 2496 2508 2603 2717 2728 2896 2964 2976 3014 3224 3288 3344 3432 3439 3534 3562 3648 3952 3982 4092 4247 4344 4384 4433 4521 4576 4706 4712 4836 5016 5206 5343 5434 5456 5611 5792 5928 5952 5973 6028 6448 6479 6576 6688 6864 6878 7059 7068 7124 7657 7809 7904 7964 8151 8184 8494 8688 8768 8866 9042 9152 9412 9424 9672 10032 10317 10412 10686 10868 10912 11222 11584 11856 11946 12056 12741 12896 12958 13152 13299 13376 13728 13756 14118 14136 14248 15314 15618 15808 15928 16302 16368 16833 16988 17376 17732 18084 18824 18848 19344 19437 19591 20064 20634 20824 21372 21736 21824 22444 22971 23712 23892 24112 24797 25482 25792 25883 25916 26304 26598 27456 27512 28236 28272 28496 28633 30628 31236 31856 32604 32736 33666 33839 33976 34752 35464 36168 37648 37696 37829 38688 38874 39182 40128 41268 41648 42744 43472 44707 44888 45942 46717 47424 47784 48224 49594 50964 51766 51832 53196 55024 55211 56472 56544 56992 57266 58773 61256 61721 62472 63712 65208 65472 67332 67678 67952 70928 72336 72943 74391 75296 75658 77376 77649 77748 78364 80693 82536 83296 84227 85488 85899 86944 89414 89776 91884 93434 95568 96448 99188 101517 101928 103532 103664 106392 106609 110048 110422 112944 113088 113487 113984 114532 117546 122512 123442 124944 127424 130416 134121 134664 135356 135904 140151 141856 144672 145886 148782 150592 151316 155298 155496 156728 161386 165072 165633 166592 168454 170976 171798 173888 178828 179552 183768 185163 186868 191136 198376 203034 203856 207064 207328 212784 213218 218829 220096 220844 225888 226974 229064 235092 242079 245024 246884 249888 252681 260832 268242 269328 270712 271808 272767 280302 283712 289344 291772 297564 302632 310596 310992 313456 319827 322361 322772 330144 331266 336908 341952 343596 357656 359104 367536 370326 372229 373736 382272 396752 406068 407712 414128 414656 425568 426436 437658 441688 451776 453948 458128 470184 471143 484158 490048 491777 493768 499776 505362 521664 536484 538656 541424 545534 560604 583544 595128 605264 607321 621192 621984 626912 639654 644722 645544 660288 662532 673816 687192 715312 735072 740652 744458 747472 768707 793504 802373 812136 815424 818301 828256 851136 852872 875316 883376 887623 907896 916256 940368 942286 967083 968316 983554 987536 1010724 1049009 1072968 1077312 1082848 1091068 1116687 1121208 1167088 1172699 1190256 1210528 1214642 1242384 1243968 1253824 1279308 1289444 1291088 1325064 1347632 1374384 1385917 1413429 1430624 1470144 1475331 1481304 1488916 1494944 1537414 1587008 1604746 1624272 1636602 1656512 1705744 1750632 1766752 1775246 1815792 1821963 1832512 1880736 1884572 1934166 1936632 1967108 1975072 2021448 2098018 2145936 2165696 2182136 2233374 2242416 2306121 2334176 2345398 2380512 2407119 2421056 2429284 2484768 2558616 2578888 2582176 2650128 2662869 2695264 2748768 2771834 2826858 2861248 2950662 2962608 2977832 2989888 3074828 3147027 3209492 3248544 3273204 3411488 3501264 3518097 3533504 3545971 3550492 3631584 3643926 3761472 3769144 3868332 3873264 3934216 3950144 4042896 4157751 4196036 4291872 4364272 4466748 4484832 4612242 4668352 4690796 4761024 4814238 4858568 4969536 5117232 5157776 5164352 5182573 5300256 5325738 5390528 5497536 5543668 5653716 5901324 5925216 5955664 6124859 6149656 6294054 6418984 6497088 6546408 6822976 7002528 7036194 7091942 7100984 7263168 7287852 7538288 7736664 7746528 7868432 8085792 8315502 8392072 8455777 8583744 8728544 8933496 8969664 9224484 9381592 9628476 9717136 9993191 10234464 10315552 10365146 10600512 10637913 10651476 11087336 11307432 11539099 11802648 11850432 11911328 12249718 12299312 12588108 12837968 13092816 14005056 14072388 14183884 14201968 14575704 14605433 15076576 15245087 15473328 15493056 15547719 15736864 16171584 16631004 16784144 16911554 17457088 17866992 18374577 18448968 18763184 19256952 19434272 19986382 20468928 20631104 20730292 21275826 21302952 22174672 22614864 23078198 23605296 23822656 24499436 24598624 25176216 25367331 25675936 26185632 28144776 28367768 28403936 29151408 29210866 29979573 30153152 30490174 30946656 31095438 31473728 33262008 33568288 33823108 34617297 35733984 36749154 36897936 37526368 38513904 38868544 39972764 41460584 42551652 42605904 43816299 44349344 45229728 45735261 46156396 47210592 48998872 49197248 50352432 50734662 51351872 52371264 56289552 56735536 56807872 58302816 58421732 59959146 60980348 61893312 62190876 66524016 67136576 67373449 67646216 69234594 71467968 73498308 73795872 75052736 77027808 79945528 82921168 85103304 85211808 87632598 88698688 90459456 91470522 92312792 94421184 97997744 100704864 101469324 109925101 112579104 113471072 116605632 116843464 119918292 121960696 124381752 133048032 134746898 135292432 138469188 146996616 147591744 154055616 159891056 160659763 165842336 170206608 170423616 175265196 182941044 184625584 189870629 195995488 201409728 202120347 202938648 219850202 225158208 226942144 233686928 239836584 243921392 248763504 266096064 269493796 270584864 276938376 293993232 319782112 321319526 329775303 331684672 340413216 350530392 365882088 369251168 379741258 391990976 404240694 405877296 439700404 467373856 479673168 481979289 487842784 497527008 538987592 541169728 553876752 569611887 587986464 639564224 642639052 659550606 680826432 701060784 731764176 738502336 759482516 808481388 811754592 879400808 934747712 959346336 963958578 975685568 995054016 1077975184 1107753504 1139223774 1175972928 1285278104 1319101212 1402121568 1463528352 1518965032 1616962776 1623509184 1758801616 1918692672 1927917156 2088576919 2155950368 2215507008 2278447548 2570556208 2638202424 2804243136 2927056704 3037930064 3233925552 3517603232 3855834312 4177153838 4311900736 4556895096 5141112416 5276404848 6075860128 6265730757 6467851104 7035206464 7711668624 8354307676 9113790192 10282224832 10552809696 12151720256 12531461514 12935702208 15423337248 16708615352 18227580384 21105619392 25062923028 30846674496 33417230704 36455160768 50125846056 66834461408 100251692112 133668922816 200503384224 401006768448
• Sum of all divisors σ(n): 1371839938560
• Sum of proper divisors (its aliquot sum) s(n): 970833170112
• 401006768448 is an abundant number, because the sum of its proper divisors (970833170112) is greater than itself. Its abundance is 569826401664

Bases of 401006768448

• Binary: 101110101011101110111011011000101000000₂
• Hexadecimal: 0x5D5DDDB140
• Base-36: 547X2QTC

Squares and roots of 401006768448

• 401006768448 squared (401006768448²) is 160806428341107888328704
• 401006768448 cubed (401006768448³) is 64484466174732555734814846639931392
• The square root of 401006768448 is 633250.9521887827
• The cube root of 401006768448 is 7374.2394294351

Scales and comparisons

• 401,006,768,448 seconds is equal to 12,750 years, 40 weeks, 2 days, 1 hour, 48 seconds.
• To count from 1 to 401,006,768,448 would take you about twenty-five thousand, five hundred 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 401006768448 cubic inches would be around 614.5 feet tall.

Recreational maths with 401006768448

• 401006768448 backwards is 844867600104
• 401006768448 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 401006768448's digits is 48
• More coming soon!