38468400768

Names of 38468400768

• Cardinal: 38468400768 can be written as Thirty-eight billion, four hundred sixty-eight million, four hundred thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.8468400768 × 10¹⁰

Factors of 38468400768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 595

Divisors of 38468400768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 51 54 56 57 63 64 68 72 76 81 84 96 102 108 112 114 119 126 128 133 136 144 152 153 162 168 171 189 192 204 216 224 228 238 243 252 266 272 288 304 306 323 324 336 342 357 378 384 399 408 432 448 456 459 476 486 504 513 532 544 547 567 576 608 612 646 648 672 684 714 756 798 816 864 896 912 918 952 969 972 1008 1026 1064 1071 1088 1094 1134 1152 1197 1216 1224 1292 1296 1344 1368 1377 1428 1512 1539 1596 1632 1641 1701 1728 1824 1836 1904 1938 1944 2016 2052 2128 2142 2176 2188 2261 2268 2394 2432 2448 2584 2592 2688 2736 2754 2856 2907 3024 3078 3192 3213 3264 3282 3402 3456 3591 3648 3672 3808 3829 3876 3888 4032 4104 4131 4256 4284 4376 4522 4536 4617 4788 4896 4923 5168 5184 5472 5508 5712 5814 6048 6156 6384 6426 6528 6564 6783 6804 7182 7296 7344 7616 7658 7752 7776 8064 8208 8262 8512 8568 8721 8752 9044 9072 9234 9299 9576 9639 9792 9846 10336 10368 10393 10773 10944 11016 11424 11487 11628 12096 12312 12768 12852 13128 13566 13608 14364 14688 14769 15232 15316 15504 15552 16416 16524 17024 17136 17442 17504 18088 18144 18468 18598 19152 19278 19584 19692 20349 20672 20786 21546 21888 22032 22848 22974 23256 24192 24624 25536 25704 26163 26256 27132 27216 27897 28728 28917 29376 29538 30632 31008 31104 31179 32319 32832 33048 34272 34461 34884 35008 36176 36288 36936 37196 38304 38556 39384 40698 41344 41572 43092 44064 44307 45696 45948 46512 49248 51072 51408 52326 52512 54264 54432 55794 57456 57834 58752 59076 61047 61264 62016 62358 64638 65093 65664 66096 68544 68922 69768 70016 72352 72576 72751 73872 74392 76608 77112 78489 78768 81396 83144 83691 86184 88128 88614 91896 93024 93537 98496 102816 103383 104652 105024 108528 108864 111588 114912 115668 118152 122094 122528 124032 124716 129276 130186 132192 132921 137088 137844 139536 144704 145502 147744 148784 153216 154224 156978 157536 162792 166288 167382 172368 176256 176681 177228 183141 183792 186048 187074 195279 196992 205632 206766 209304 210048 217056 217728 218253 223176 229824 231336 236304 244188 245056 249432 251073 258552 260372 264384 265842 275688 279072 280611 289408 291004 295488 297568 308448 310149 313956 315072 325584 332576 334764 344736 353362 354456 366282 367584 372096 374148 390558 411264 413532 418608 434112 436506 446352 459648 462672 472608 488376 490112 498864 502146 517104 520744 528768 530043 531684 549423 551376 558144 561222 582008 585837 590976 595136 616896 620298 627912 630144 651168 654759 665152 669528 689472 706724 708912 732564 735168 748296 753219 781116 827064 837216 841833 868224 873012 892704 925344 930447 945216 976752 997728 1004292 1034208 1041488 1060086 1063368 1098846 1102752 1116288 1122444 1164016 1171674 1190272 1233792 1236767 1240596 1255824 1302336 1309518 1330304 1339056 1378944 1413448 1417824 1465128 1470336 1496592 1506438 1562232 1590129 1654128 1674432 1683666 1746024 1757511 1785408 1850688 1860894 1890432 1953504 1964277 1995456 2008584 2068416 2082976 2120172 2126736 2197692 2205504 2244888 2259657 2328032 2343348 2473534 2481192 2511648 2525499 2604672 2619036 2678112 2826896 2835648 2930256 2993184 3012876 3124464 3180258 3308256 3348864 3367332 3492048 3515022 3570816 3701376 3710301 3721788 3907008 3928554 3990912 4017168 4136832 4165952 4240344 4253472 4395384 4411008 4489776 4519314 4656064 4686696 4770387 4947068 4962384 5023296 5050998 5238072 5272533 5356224 5653792 5671296 5860512 5892831 5986368 6025752 6248928 6360516 6616512 6734664 6984096 7030044 7420602 7443576 7814016 7857108 8034336 8331904 8480688 8506944 8790768 8979552 9038628 9312128 9373392 9540774 9894136 9924768 10046592 10101996 10476144 10545066 10712448 11130903 11307584 11721024 11785662 11972736 12051504 12497856 12721032 13233024 13469328 13968192 14060088 14311161 14841204 14887152 15714216 15817599 16068672 16961376 17013888 17581536 17678493 17959104 18077256 18746784 19081548 19788272 19849536 20203992 20952288 21090132 22261806 22615168 23442048 23571324 24103008 24995712 25442064 26938656 27936384 28120176 28622322 29682408 29774304 31428432 31635198 32137344 33392709 33922752 35163072 35356986 35918208 36154512 37493568 38163096 39576544 39699072 40407984 41904576 42180264 42933483 44523612 47142648 48206016 50884128 53877312 56240352 57244644 59364816 59548608 62856864 63270396 66785418 67845504 70326144 70713972 72309024 74987136 76326192 79153088 80815968 83809152 84360528 85866966 89047224 94285296 96412032 100178127 101768256 107754624 112480704 114489288 118729632 119097216 125713728 126540792 133570836 141427944 144618048 152652384 158306176 161631936 168721056 171733932 178094448 188570592 200356254 203536512 224961408 228978576 237459264 251427456 253081584 267141672 282855888 289236096 300534381 305304768 323263872 337442112 343467864 356188896 377141184 400712508 457957152 474918528 506163168 534283344 565711776 601068762 610609536 674884224 686935728 712377792 754282368 801425016 915914304 1012326336 1068566688 1131423552 1202137524 1373871456 1424755584 1602850032 1831828608 2024652672 2137133376 2262847104 2404275048 2747742912 3205700064 4274266752 4808550096 5495485824 6411400128 9617100192 12822800256 19234200384 38468400768
• Sum of all divisors σ(n): 146492236800
• Sum of proper divisors (its aliquot sum) s(n): 108023836032
• 38468400768 is an abundant number, because the sum of its proper divisors (108023836032) is greater than itself. Its abundance is 69555435264

Bases of 38468400768

• Binary: 100011110100111001010011011010000000₂
• Hexadecimal: 0x8F4E53680
• Base-36: HO73C00

Squares and roots of 38468400768

• 38468400768 squared (38468400768²) is 1479817857647462989824
• 38468400768 cubed (38468400768³) is 56926226411625779950997137784832
• The square root of 38468400768 is 196133.6298751441
• The cube root of 38468400768 is 3375.7326480557

Scales and comparisons

• 38,468,400,768 seconds is equal to 1,223 years, 9 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 38,468,400,768 would take you about two thousand, four hundred forty-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 38468400768 cubic inches would be around 281.3 feet tall.

Recreational maths with 38468400768

• 38468400768 backwards is 86700486483
• 38468400768 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 38468400768's digits is 54
• More coming soon!