438420135648

Names of 438420135648

• Cardinal: 438420135648 can be written as Four hundred thirty-eight billion, four hundred twenty million, one hundred thirty-five thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 4.38420135648 × 10¹¹

Factors of 438420135648

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 542

Divisors of 438420135648

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 29 32 33 34 44 48 51 58 66 68 71 87 88 96 102 116 132 136 142 174 176 187 204 213 232 264 272 284 319 348 352 374 408 409 426 464 493 528 544 561 568 638 696 748 781 816 818 841 852 928 957 986 1056 1122 1136 1207 1227 1276 1392 1479 1496 1562 1632 1636 1682 1704 1914 1972 2059 2244 2272 2343 2414 2454 2523 2552 2784 2958 2992 3124 3272 3364 3408 3621 3828 3944 4118 4488 4499 4686 4828 4908 5046 5104 5423 5916 5984 6177 6248 6544 6728 6816 6953 7242 7656 7888 8236 8976 8998 9251 9372 9656 9816 10092 10208 10846 11832 11861 12354 12496 13088 13277 13456 13497 13906 14297 14484 15312 15776 16269 16472 17952 17996 18502 18744 19312 19632 20184 20859 21692 22649 23664 23722 24708 24992 26554 26912 26994 27753 27812 28594 28968 29039 30624 32538 32944 35003 35583 35992 37004 37488 38624 39264 39831 40368 41718 42891 43384 45298 47328 47444 49416 53108 53988 55506 55624 57188 57936 58078 59711 65076 65888 67947 70006 71166 71984 74008 74976 76483 79662 80736 83436 85782 86768 87117 90596 94888 98832 105009 106216 107976 111012 111248 114376 115872 116156 119422 130152 130471 135894 140012 142332 143968 148016 152966 157267 159324 166872 171564 173536 174234 179133 181192 189776 197664 201637 210018 212432 215952 222024 222496 228752 229449 232312 238844 260304 260942 271788 280024 284664 296032 305932 314534 318648 319429 333744 343128 343969 348468 358266 362384 379552 385033 391413 403274 420036 424864 431904 444048 457504 458898 464624 471801 477688 493663 520608 521884 543576 560048 569328 604911 611864 629068 637296 638858 656821 667488 686256 687938 696936 716532 724768 770066 782826 806548 840072 842131 888096 917796 929248 943602 955376 958287 987326 1015087 1031907 1043768 1087152 1120096 1138656 1155099 1209822 1223728 1258136 1274592 1277716 1313642 1372512 1375876 1393872 1433064 1480989 1540132 1565652 1613096 1680144 1684262 1835592 1887204 1910752 1916574 1970463 1974652 2030174 2063814 2087536 2174304 2218007 2310198 2419644 2447456 2516272 2526393 2555432 2627284 2751752 2787744 2866128 2961978 3045261 3080264 3131304 3226192 3360288 3368524 3671184 3774408 3783659 3833148 3940926 3949304 4060348 4127628 4175072 4436014 4620396 4839288 5032544 5052786 5110864 5254568 5430293 5503504 5732256 5847473 5923956 6090522 6160528 6262608 6452384 6654021 6737048 7342368 7548816 7567318 7666296 7881852 7898608 8120696 8255256 8872028 9240792 9263441 9678576 10105572 10221728 10509136 10860586 11007008 11165957 11350977 11694946 11847912 12181044 12321056 12525216 13308042 13474096 14316227 15097632 15134636 15332592 15763704 15797216 16241392 16290879 16510512 17542419 17744056 18481584 18526882 19357152 20211144 21018272 21721172 22331914 22701954 23389892 23695824 24362088 24421799 26616084 26948192 27790323 28632454 30269272 30665184 31527408 32482784 32581758 33021024 33497871 35084838 35488112 36963168 37053764 40422288 42948681 43442344 44663828 45403908 46779784 47391648 48724176 48843598 53232168 55580646 57264908 60538544 63054816 64322203 65163516 66995742 70169676 70976224 73265397 74107528 80844576 85897362 86884688 89327656 90807816 93559568 97448352 97687196 106464336 111161292 114529816 121077088 128644406 130327032 133991484 140339352 146530794 148215056 157478497 171794724 173769376 178655312 181615632 187119136 192966609 195374392 212928672 222322584 229059632 257288812 260654064 267982968 268639789 280678704 293061588 296430112 314956994 343589448 357310624 363231264 385933218 390748784 415170583 444645168 458119264 472435491 514577624 521308128 535965936 537279578 561357408 586123176 629913988 687178896 771866436 781497568 805919367 830341166 889290336 944870982 1029155248 1071931872 1074559156 1172246352 1245511749 1259827976 1374357792 1543732872 1611838734 1660682332 1889741964 2058310496 2149118312 2344492704 2491023498 2519655952 3087465744 3223677468 3321364664 3779483928 4298236624 4566876413 4982046996 5039311904 6174931488 6447354936 6642729328 7558967856 8596473248 9133752826 9964093992 12894709872 13285458656 13700629239 15117935712 18267505652 19928187984 25789419744 27401258478 36535011304 39856375968 54802516956 73070022608 109605033912 146140045216 219210067824 438420135648
• Sum of all divisors σ(n): 1399551229440
• Sum of proper divisors (its aliquot sum) s(n): 961131093792
• 438420135648 is an abundant number, because the sum of its proper divisors (961131093792) is greater than itself. Its abundance is 522710958144

Bases of 438420135648

• Binary: 110011000010011111000000101111011100000₂
• Hexadecimal: 0x6613E05EE0
• Base-36: 5LEO11PC

Squares and roots of 438420135648

• 438420135648 squared (438420135648²) is 192212215341610720379904
• 438420135648 cubed (438420135648³) is 84269705523271558687768509773217792
• The square root of 438420135648 is 662133.0196025569
• The cube root of 438420135648 is 7596.7907482519

Scales and comparisons

• 438,420,135,648 seconds is equal to 13,940 years, 21 weeks, 3 hours, 48 seconds.
• To count from 1 to 438,420,135,648 would take you about twenty-seven thousand, eight hundred eighty 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 438420135648 cubic inches would be around 633.1 feet tall.

Recreational maths with 438420135648

• 438420135648 backwards is 846531024834
• 438420135648 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 438420135648's digits is 48
• More coming soon!