438199331328

Names of 438199331328

• Cardinal: 438199331328 can be written as Four hundred thirty-eight billion, one hundred ninety-nine million, three hundred thirty-one thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 4.38199331328 × 10¹¹

Factors of 438199331328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 333

Divisors of 438199331328

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 71 72 81 83 88 96 99 108 128 132 142 144 162 163 166 176 192 198 213 216 249 256 264 284 288 297 324 326 332 352 384 396 426 432 489 498 512 528 568 576 594 639 648 652 664 704 747 768 781 792 852 864 891 913 978 996 1056 1136 1152 1188 1278 1296 1304 1328 1408 1467 1494 1536 1562 1584 1704 1728 1782 1793 1826 1917 1956 1992 2112 2241 2272 2304 2343 2376 2556 2592 2608 2656 2739 2816 2934 2988 3124 3168 3408 3456 3564 3586 3652 3834 3912 3984 4224 4401 4482 4544 4608 4686 4752 5112 5184 5216 5312 5379 5478 5632 5751 5868 5893 5976 6248 6336 6723 6816 6912 7029 7128 7172 7304 7668 7824 7968 8217 8448 8802 8964 9088 9372 9504 10224 10368 10432 10624 10758 10956 11502 11573 11736 11786 11952 12496 12672 13203 13446 13529 13632 13824 14058 14256 14344 14608 15336 15648 15936 16137 16434 16896 17604 17679 17928 18176 18744 19008 20448 20736 20864 21087 21248 21516 21912 23004 23146 23472 23572 23904 24651 24992 25344 26406 26892 27058 27264 28116 28512 28688 29216 30672 31296 31872 32274 32868 34719 35208 35358 35856 36352 37488 38016 40587 40896 41472 41728 42174 42496 43032 43824 46008 46292 46944 47144 47808 48411 49302 49984 50688 52812 53037 53784 54116 54528 56232 57024 57376 58432 61344 62592 63261 63744 64548 64823 65736 69438 70416 70716 71712 73953 74976 76032 81174 81792 83456 84348 86064 87648 92016 92584 93888 94288 95616 96822 98604 99968 104157 105624 106074 107568 108232 109056 112464 114048 114752 116864 121761 122688 125184 126522 127303 127488 129096 129646 131472 138876 140832 141432 143424 145233 147906 148819 149952 152064 159111 162348 163584 168696 172128 175296 184032 185168 187776 188576 191232 193644 194469 197208 199936 208314 211248 212148 215136 216464 224928 228096 229504 233728 243522 245376 250368 253044 254606 258192 259292 262944 277752 281664 282864 286848 290466 295812 297638 299904 312471 318222 324696 327168 337392 344256 350592 365283 368064 370336 375552 377152 381909 382464 387288 388938 394416 399872 416628 422496 424296 430272 432928 446457 449856 456192 459008 467456 477333 487044 490752 506088 509212 516384 518584 525888 555504 563328 565728 573696 580932 583407 591624 595276 599808 624942 636444 649392 674784 688512 701184 730566 736128 740672 751104 754304 763818 774576 777876 788832 833256 844992 848592 860544 865856 892914 899712 918016 937413 954666 960559 974088 981504 1012176 1018424 1032768 1037168 1051776 1095849 1111008 1126656 1131456 1145727 1147392 1161864 1166814 1183248 1190552 1199616 1249884 1272888 1298784 1339371 1349568 1377024 1402368 1461132 1472256 1481344 1508608 1527636 1549152 1555752 1577664 1666512 1689984 1697184 1721088 1731712 1750221 1785828 1799424 1874826 1909332 1921118 1948176 2024352 2036848 2065536 2074336 2103552 2191698 2222016 2253312 2262912 2291454 2323728 2333628 2366496 2381104 2499768 2545776 2597568 2678742 2699136 2754048 2881677 2922264 2944512 2962688 3017216 3055272 3098304 3111504 3155328 3333024 3379968 3394368 3437181 3442176 3463424 3500442 3571656 3598848 3749652 3818664 3842236 3896352 4018113 4048704 4073696 4131072 4148672 4207104 4383396 4444032 4525824 4582908 4647456 4667256 4732992 4762208 4999536 5091552 5195136 5250663 5357484 5398272 5763354 5844528 5925376 6110544 6196608 6223008 6310656 6666048 6759936 6788736 6874362 6926848 7000884 7143312 7499304 7637328 7684472 7792704 8036226 8097408 8147392 8262144 8297344 8645031 8766792 8888064 9051648 9165816 9294912 9334512 9465984 9524416 9999072 10183104 10311543 10390272 10501326 10566149 10714968 10796544 11526708 11689056 12054339 12221088 12393216 12446016 12621312 13332096 13577472 13748724 14001768 14286624 14998608 15274656 15368944 15585408 16072452 16194816 16294784 16594688 17290062 17533584 17776128 18331632 18589824 18669024 18931968 19048832 19998144 20366208 20623086 20780544 21002652 21132298 21429936 23053416 23378112 24108678 24442176 24786432 24892032 25935093 26664192 27154944 27497448 28003536 28573248 29997216 30549312 30737888 31170816 31698447 32144904 32389632 32589568 33189376 34580124 35067168 36663264 37179648 37338048 37863936 38097664 39996288 40732416 41246172 42005304 42264596 42859872 46106832 46756224 48217356 48884352 49784064 51870186 53328384 54994896 56007072 57146496 59994432 61098624 61475776 62341632 63396894 64289808 65179136 69160248 70134336 73326528 74359296 74676096 76195328 77805279 79992576 81464832 82492344 84010608 84529192 85719744 92213664 93512448 95095341 96434712 97768704 99568128 103740372 109989792 112014144 114292992 119988864 122197248 122951552 126793788 128579616 138320496 140268672 146653056 149352192 155610558 159985152 164984688 168021216 169058384 171439488 184427328 187024896 190190682 192869424 195537408 207480744 219979584 224028288 228585984 239977728 244394496 245903104 253587576 257159232 276640992 280537344 285286023 293306112 298704384 311221116 329969376 336042432 338116768 342878976 368854656 380381364 385738848 414961488 439959168 448056576 479955456 491806208 507175152 514318464 553281984 561074688 570572046 586612224 622442232 659938752 672084864 676233536 685757952 737709312 760762728 771477696 829922976 855858069 879918336 896113152 1014350304 1028636928 1106563968 1141144092 1244884464 1319877504 1344169728 1352467072 1475418624 1521525456 1542955392 1659845952 1711716138 1759836672 2028700608 2057273856 2213127936 2282288184 2489768928 2639755008 2688339456 2704934144 3043050912 3085910784 3319691904 3423432276 4057401216 4426255872 4564576368 4979537856 5279510016 5409868288 6086101824 6171821568 6639383808 6846864552 8114802432 9129152736 9959075712 12172203648 13278767616 13693729104 16229604864 18258305472 19918151424 24344407296 27387458208 36516610944 39836302848 48688814592 54774916416 73033221888 109549832832 146066443776 219099665664 438199331328
• Sum of all divisors σ(n): 1473322701312
• Sum of proper divisors (its aliquot sum) s(n): 1035123369984
• 438199331328 is an abundant number, because the sum of its proper divisors (1035123369984) is greater than itself. Its abundance is 596924038656

Bases of 438199331328

• Binary: 110011000000110101101110010101000000000₂
• Hexadecimal: 0x6606B72A00
• Base-36: 5LB0KG00

Squares and roots of 438199331328

• 438199331328 squared (438199331328²) is 192018653976306322243584
• 438199331328 cubed (438199331328³) is 84142445774920038762437401538199552
• The square root of 438199331328 is 661966.2614725919
• The cube root of 438199331328 is 7595.5151940833

Scales and comparisons

• 438,199,331,328 seconds is equal to 13,933 years, 19 weeks, 6 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 438,199,331,328 would take you about twenty-seven thousand, eight hundred sixty-six 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 438199331328 cubic inches would be around 633 feet tall.

Recreational maths with 438199331328

• 438199331328 backwards is 823133991834
• 438199331328 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 438199331328's digits is 54
• More coming soon!