138220153344

Names of 138220153344

• Cardinal: 138220153344 can be written as One hundred thirty-eight billion, two hundred twenty million, one hundred fifty-three thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.38220153344 × 10¹¹

Factors of 138220153344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 56

Divisors of 138220153344

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 49 52 56 62 63 64 72 78 84 91 93 96 98 104 112 117 124 126 128 144 147 156 168 182 186 192 196 208 217 224 234 248 252 256 273 279 288 294 312 336 343 364 372 384 392 403 416 434 441 448 468 496 504 512 546 558 576 588 624 637 651 672 686 728 744 768 784 806 819 832 868 882 896 936 961 992 1008 1029 1092 1116 1152 1176 1209 1248 1274 1302 1344 1372 1456 1488 1519 1536 1568 1612 1638 1664 1736 1764 1792 1872 1911 1922 1953 1984 2016 2058 2184 2232 2304 2352 2401 2418 2496 2548 2604 2688 2744 2821 2883 2912 2976 3038 3087 3136 3224 3276 3328 3472 3528 3584 3627 3744 3822 3844 3906 3968 4032 4116 4368 4459 4464 4557 4608 4704 4802 4836 4992 5096 5208 5376 5488 5642 5733 5766 5824 5952 6076 6174 6272 6448 6552 6656 6727 6944 7056 7203 7254 7488 7644 7688 7812 7936 8064 8232 8463 8649 8736 8918 8928 9114 9408 9604 9672 9984 10192 10416 10633 10752 10976 11284 11466 11532 11648 11904 12152 12348 12493 12544 12896 13104 13377 13454 13671 13888 14112 14406 14508 14976 15288 15376 15624 15872 16128 16464 16926 17298 17472 17836 17856 18228 18816 19208 19344 19747 19968 20181 20384 20832 21266 21609 21952 22568 22932 23064 23296 23808 24304 24696 24986 25088 25389 25792 26208 26754 26908 27342 27776 28224 28812 29016 29952 30576 30752 31213 31248 31899 32256 32928 33852 34596 34944 35672 35712 36456 37479 37632 38416 38688 39494 40131 40362 40768 41664 42532 43218 43904 45136 45864 46128 46592 47089 47616 48608 49392 49972 50778 51584 52416 53508 53816 54684 55552 56448 57624 58032 59241 59904 60543 61152 61504 62426 62496 63798 65856 67704 69192 69888 71344 71424 72912 74431 74958 75264 76832 77376 78988 80262 80724 81536 83328 85064 86436 87451 87808 90272 91728 92256 93639 94178 95697 97216 98784 99944 101556 103168 104832 107016 107632 109368 111104 112437 112896 115248 116064 118482 121086 122304 123008 124852 124992 127596 131712 135408 138229 138384 139776 141267 142688 142848 145824 148862 149916 153664 154752 157976 160524 161448 163072 166656 170128 172872 174902 175616 177723 180544 183456 184512 187278 188356 191394 194432 197568 199888 203112 206336 209664 214032 215264 218736 223293 224874 225792 230496 232128 236964 242172 244608 246016 249704 249984 255192 262353 263424 270816 276458 276768 280917 282534 285376 291648 297724 299832 307328 309504 315952 321048 322896 326144 329623 333312 340256 345744 349804 355446 361088 366912 369024 374556 376712 382788 388864 395136 399776 406224 414687 419328 423801 428064 430528 437472 446586 449748 460992 464256 473928 484344 489216 492032 499408 499968 510384 524706 526848 541632 552916 553536 561834 565068 570752 583296 595448 599664 612157 614656 619008 631904 642096 645792 659246 669879 680512 691488 699608 710892 722176 733824 738048 749112 753424 765576 777728 787059 790272 799552 812448 829374 847602 856128 861056 874944 893172 899496 921984 928512 947856 967603 968688 978432 988869 998816 999936 1020768 1049412 1083264 1105832 1107072 1123668 1130136 1141504 1166592 1190896 1199328 1224314 1229312 1244061 1263808 1284192 1291584 1318492 1339758 1361024 1382976 1399216 1421784 1444352 1467648 1476096 1498224 1506848 1531152 1574118 1580544 1599104 1624896 1658748 1695204 1712256 1722112 1749888 1786344 1798992 1836471 1843968 1857024 1895712 1935206 1937376 1977738 1997632 2041536 2098824 2166528 2211664 2214144 2247336 2260272 2283008 2307361 2333184 2381792 2398656 2448628 2488122 2527616 2568384 2583168 2636984 2679516 2722048 2765952 2798432 2843568 2902809 2935296 2966607 2996448 3013696 3062304 3148236 3198208 3249792 3317496 3390408 3424512 3444224 3499776 3572688 3597984 3672942 3687936 3791424 3870412 3874752 3955476 3995264 4083072 4197648 4285099 4333056 4423328 4428288 4494672 4520544 4614722 4763584 4797312 4897256 4976244 5055232 5136768 5166336 5273968 5359032 5444096 5509413 5531904 5596864 5687136 5805618 5933214 5992896 6027392 6124608 6296472 6396416 6499584 6634992 6780816 6849024 6922083 6999552 7145376 7195968 7345884 7582848 7740824 7749504 7910952 7990528 8166144 8395296 8570198 8708427 8846656 8989344 9041088 9229444 9527168 9594624 9794512 9952488 10110464 10273536 10332672 10547936 10718064 11018826 11063808 11193728 11374272 11611236 11866428 11985792 12054784 12249216 12592944 12855297 12999168 13269984 13561632 13844166 14290752 14391936 14691768 15165696 15481648 15499008 15821904 15981056 16332288 16790592 17140396 17416854 17693312 17978688 18082176 18458888 19054336 19189248 19589024 19904976 20547072 20766249 21095872 21436128 22037652 22387456 22748544 23222472 23732856 23971584 24109568 24498432 25185888 25710594 26539968 27123264 27688332 28581504 28783872 29383536 29995693 30331392 30963296 30998016 31643808 33581184 34280792 34833708 35386624 35957376 36164352 36917776 38108672 38565891 39178048 39809952 41532498 42191744 42872256 44075304 44774912 45497088 46444944 47465712 47943168 48996864 50371776 51421188 53079936 54246528 55376664 57163008 57567744 58767072 59991386 61926592 63287616 67162368 68561584 69667416 70773248 71914752 72328704 73835552 77131782 78356096 79619904 83064996 84383488 85744512 88150608 89987079 90994176 92889888 94931424 100743552 102842376 106159872 108493056 110753328 114326016 117534144 119982772 123853184 126575232 134324736 137123168 139334832 143829504 147671104 154263564 156712192 159239808 166129992 168766976 171489024 176301216 179974158 185779776 189862848 201487104 205684752 212319744 216986112 221506656 235068288 239965544 247706368 253150464 269961237 274246336 278669664 295342208 308527128 313424384 318479616 332259984 342978048 352602432 359948316 371559552 379725696 402974208 411369504 443013312 470136576 479931088 495412736 506300928 539922474 548492672 557339328 590684416 617054256 636959232 664519968 705204864 719896632 743119104 759451392 822739008 886026624 940273152 959862176 1079844948 1096985344 1114678656 1181368832 1234108512 1329039936 1410409728 1439793264 1486238208 1518902784 1645478016 1772053248 1919724352 2159689896 2193970688 2229357312 2468217024 2658079872 2820819456 2879586528 3290956032 3544106496 3839448704 4319379792 4458714624 4936434048 5316159744 5759173056 6581912064 7678897408 8638759584 9872868096 10632319488 11518346112 15357794816 17277519168 19745736192 23036692224 34555038336 46073384448 69110076672 138220153344
• Sum of all divisors σ(n): 517856437098
• Sum of proper divisors (its aliquot sum) s(n): 379636283754
• 138220153344 is an abundant number, because the sum of its proper divisors (379636283754) is greater than itself. Its abundance is 241416130410

Bases of 138220153344

• Binary: 10000000101110100100000010101000000000₂
• Hexadecimal: 0x202E902A00
• Base-36: 1RHWPKW0

Squares and roots of 138220153344

• 138220153344 squared (138220153344²) is 19104810790438874382336
• 138220153344 cubed (138220153344³) is 2640669877062567066185235204931584
• The square root of 138220153344 is 371779.7107750769
• The cube root of 138220153344 is 5170.3958002285

Scales and comparisons

• 138,220,153,344 seconds is equal to 4,394 years, 50 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 138,220,153,344 would take you about eight thousand, seven hundred eighty-nine 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 138220153344 cubic inches would be around 430.9 feet tall.

Recreational maths with 138220153344

• 138220153344 backwards is 443351022831
• 138220153344 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138220153344's digits is 36
• More coming soon!