438427141152

Names of 438427141152

• Cardinal: 438427141152 can be written as Four hundred thirty-eight billion, four hundred twenty-seven million, one hundred forty-one thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.38427141152 × 10¹¹

Factors of 438427141152

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 8784

Divisors of 438427141152

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 66 77 78 84 88 91 96 104 112 132 143 154 156 168 176 182 208 224 231 264 273 286 308 312 336 352 364 416 429 462 528 546 557 572 616 624 672 728 858 924 1001 1056 1092 1114 1144 1232 1248 1456 1671 1716 1848 2002 2184 2228 2288 2464 2912 3003 3342 3432 3696 3899 4004 4368 4456 4576 6006 6127 6684 6864 7241 7392 7798 8008 8191 8736 8912 11697 12012 12254 13368 13728 14482 15596 16016 16382 17824 18381 21723 23394 24024 24508 24573 26736 28964 31192 32032 32764 36762 42889 43446 46788 48048 49016 49146 50687 53472 57337 57928 62384 65528 73524 79651 85778 86892 90101 93576 96096 98032 98292 101374 106483 114674 115856 124768 128667 131056 147048 152061 159302 171556 172011 173784 180202 187152 196064 196584 202748 212966 229348 231712 238953 257334 262112 270303 294096 304122 318604 319449 343112 344022 347568 360404 374304 393168 405496 425932 458696 477906 514668 540606 557557 588192 608244 630707 637208 638898 686224 688044 695136 720808 745381 786336 810992 851864 917392 955812 1029336 1081212 1115114 1171313 1216488 1261414 1274416 1277796 1372448 1376088 1441616 1490762 1621984 1672671 1703728 1834784 1892121 1911624 2058672 2162424 2230228 2236143 2342626 2432976 2522828 2548832 2555592 2752176 2883232 2981524 3345342 3407456 3513939 3784242 3823248 4117344 4324848 4460456 4472286 4562387 4685252 4865952 5045656 5111184 5504352 5963048 6690684 7027878 7568484 7646496 8199191 8649696 8920912 8944572 9124774 9370504 10091312 10222368 11926096 13381368 13687161 14055756 15136968 16398382 17841824 17889144 18249548 18741008 20182624 23852192 24597573 26762736 27374322 28111512 30273936 31936709 32796764 35778288 36499096 37482016 49195146 50186257 53525472 54748644 56223024 59311031 60547872 63873418 65593528 71556576 72998192 95810127 98390292 100372514 109497288 112446048 118622062 127746836 131187056 145996384 150558771 177933093 191620254 196780584 200745028 218994576 237244124 255493672 262374112 301117542 351303799 355866186 383240508 393561168 401490056 415177217 437989152 474488248 510987344 602235084 652421341 702607598 711732372 766481016 787122336 802980112 830354434 948976496 1021974688 1053911397 1204470168 1245531651 1304842682 1405215196 1423464744 1532962032 1605960224 1660708868 1897952992 1957264023 2107822794 2408940336 2491063302 2609685364 2810430392 2846929488 3065924064 3321417736 3914528046 4215645588 4566949387 4817880672 4982126604 5219370728 5620860784 5693858976 6642835472 7829056092 8431291176 9133898774 9964253208 10438741456 11241721568 13285670944 13700848161 15658112184 16862582352 18267797548 19928506416 20877482912 27401696322 31316224368 33725164704 36535595096 39857012832 54803392644 62632448736 73071190192 109606785288 146142380384 219213570576 438427141152
• Sum of all divisors σ(n): 1548188909568
• Sum of proper divisors (its aliquot sum) s(n): 1109761768416
• 438427141152 is an abundant number, because the sum of its proper divisors (1109761768416) is greater than itself. Its abundance is 671334627264

Bases of 438427141152

• Binary: 110011000010100010010110100010000100000₂
• Hexadecimal: 0x66144B4420
• Base-36: 5LES776O

Squares and roots of 438427141152

• 438427141152 squared (438427141152²) is 192218358098715731887104
• 438427141152 cubed (438427141152³) is 84273745218151324533990332736503808
• The square root of 438427141152 is 662138.3096846157
• The cube root of 438427141152 is 7596.8312110107

Scales and comparisons

• 438,427,141,152 seconds is equal to 13,940 years, 32 weeks, 4 days, 4 hours, 59 minutes, 12 seconds.
• To count from 1 to 438,427,141,152 would take you about twenty-seven thousand, eight hundred eighty-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 438427141152 cubic inches would be around 633.1 feet tall.

Recreational maths with 438427141152

• 438427141152 backwards is 251141724834
• 438427141152 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 438427141152's digits is 42
• More coming soon!