138344395392

Names of 138344395392

• Cardinal: 138344395392 can be written as One hundred thirty-eight billion, three hundred forty-four million, three hundred ninety-five thousand, three hundred ninety-two.

Scientific notation

• Scientific notation: 1.38344395392 × 10¹¹

Factors of 138344395392

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 135

Divisors of 138344395392

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 31 32 36 38 42 48 49 54 56 57 62 63 64 72 73 76 84 93 96 98 108 112 114 124 126 128 133 144 146 147 152 168 171 186 189 192 196 216 217 219 224 228 248 252 266 279 288 292 294 304 336 342 361 372 378 384 392 399 432 434 438 441 448 456 496 504 511 513 532 558 576 584 588 589 608 651 657 672 684 722 744 756 784 798 837 864 868 876 882 896 912 931 992 1008 1022 1026 1064 1083 1116 1152 1168 1176 1178 1197 1216 1302 1314 1323 1344 1368 1387 1444 1488 1512 1519 1533 1568 1596 1674 1728 1736 1752 1764 1767 1824 1862 1953 1971 1984 2016 2044 2052 2128 2166 2232 2263 2336 2352 2356 2394 2432 2527 2604 2628 2646 2688 2736 2774 2793 2888 2976 3024 3038 3066 3136 3192 3249 3348 3456 3472 3504 3528 3534 3577 3591 3648 3724 3906 3942 3968 4032 4088 4104 4123 4161 4256 4332 4464 4526 4557 4599 4672 4704 4712 4788 5054 5208 5256 5292 5301 5472 5548 5586 5776 5859 5952 6048 6076 6132 6272 6384 6498 6696 6789 6944 7008 7056 7068 7154 7182 7296 7448 7581 7812 7884 8064 8176 8208 8246 8322 8379 8512 8664 8928 9052 9114 9198 9344 9408 9424 9576 9709 9747 10108 10416 10512 10584 10602 10731 10944 11096 11172 11191 11552 11718 11904 12096 12152 12264 12369 12483 12768 12996 13392 13578 13671 13797 13888 14016 14112 14136 14308 14364 14896 15162 15624 15768 15841 15903 16352 16416 16492 16644 16758 17024 17328 17689 17856 18104 18228 18396 18816 18848 19152 19418 19494 20216 20367 20832 21024 21168 21204 21462 21888 22192 22344 22382 22743 23104 23436 24192 24304 24528 24738 24966 25137 25536 25992 26353 26784 27156 27342 27594 27776 28032 28224 28272 28616 28728 28861 29127 29792 30324 31248 31536 31682 31806 32193 32704 32832 32984 33288 33516 33573 34656 35378 35712 36208 36456 36792 37107 37449 37696 38304 38836 38988 40432 40734 41013 41664 42048 42336 42408 42924 42997 44384 44688 44764 45486 46208 46872 47523 48608 49056 49476 49932 50274 51072 51984 52706 53067 53568 54312 54684 55188 56448 56544 57232 57456 57722 58254 59584 60648 61101 62496 63072 63364 63612 64386 65408 65664 65968 66576 67032 67146 67963 68229 69312 70756 72416 72912 73584 74214 74898 75392 76608 77672 77976 78337 79059 80864 81468 82026 83328 84096 84672 84816 85848 85994 86583 87381 88768 89376 89528 90972 93744 95046 96579 97216 98112 98952 99864 100548 100719 103968 105412 106134 107136 108624 109368 110376 110887 111321 113088 114464 114912 115444 116508 119168 121296 122202 124992 126144 126728 127224 128772 128991 131936 133152 134064 134292 135926 136458 138624 141512 142569 144832 145824 147168 148428 149796 153216 155344 155952 156674 158118 159201 161728 162936 164052 169344 169632 171696 171988 173166 174762 177536 178752 179056 181944 184471 187488 190092 193158 194432 196224 197904 199728 201096 201438 203889 207936 210824 212268 217248 218736 220752 221774 222642 226176 228928 229824 230888 233016 235011 237177 242592 244404 249984 252288 253456 254448 257544 257982 259749 262143 263872 266304 268128 268584 271852 272916 283024 285138 289664 291648 294336 296856 299592 300979 302157 310688 311904 313348 316236 318402 323456 325872 328104 332661 339264 343392 343976 346332 349524 357504 358112 363888 368942 374976 380184 386316 386973 395808 399456 402192 402876 407778 415872 421648 424536 427707 434496 437472 441504 443548 445284 457856 459648 461776 466032 470022 474354 477603 485184 488808 506912 508896 515088 515964 519498 524286 527744 532608 536256 537168 543704 545832 548359 553413 566048 570276 583296 588672 593712 599184 601958 604314 611667 621376 623808 626696 632472 636804 651744 656208 665322 678528 686784 687952 692664 699048 705033 711531 716224 727776 737884 749952 760368 772632 773946 779247 791616 798912 804384 805752 815556 816943 843296 849072 855414 868992 874944 883008 887096 890568 902937 923552 932064 940044 948708 955206 970368 977616 997983 1013824 1017792 1030176 1031928 1038996 1048572 1072512 1074336 1087408 1091664 1096718 1106826 1132096 1140552 1160919 1187424 1198368 1203916 1208628 1223334 1242752 1247616 1253392 1264944 1273608 1291297 1303488 1312416 1330644 1373568 1375904 1385328 1398096 1410066 1423062 1432448 1455552 1475768 1520736 1545264 1547892 1558494 1583232 1597824 1608768 1611504 1631112 1633886 1645077 1660239 1686592 1698144 1710828 1749888 1766016 1774192 1781136 1805874 1835001 1847104 1864128 1880088 1897416 1910412 1955232 1995966 2027648 2035584 2060352 2063856 2077992 2097144 2106853 2115099 2148672 2174816 2183328 2193436 2213652 2264192 2281104 2321838 2374848 2396736 2407832 2417256 2446668 2450829 2506784 2529888 2547216 2582594 2606976 2624832 2661288 2708811 2751808 2770656 2796192 2820132 2846124 2911104 2951536 2993949 3041472 3090528 3095784 3116988 3217536 3223008 3262224 3267772 3290154 3320478 3373184 3396288 3421656 3548384 3562272 3611748 3670002 3694208 3728256 3760176 3794832 3820824 3873891 3910464 3991932 4120704 4127712 4155984 4194288 4213706 4230198 4297344 4349632 4366656 4386872 4427304 4562208 4643676 4749696 4793472 4815664 4834512 4893336 4901658 4935231 4980717 5013568 5059776 5094432 5165188 5249664 5322576 5417622 5503616 5541312 5592384 5640264 5692248 5718601 5903072 5987898 6082944 6181056 6191568 6233976 6320559 6446016 6524448 6535544 6580308 6640956 6792576 6843312 7096768 7124544 7223496 7340004 7352487 7520352 7589664 7641648 7747782 7820928 7983864 8126433 8255424 8311968 8388576 8427412 8460396 8699264 8733312 8773744 8854608 9124416 9287352 9631328 9669024 9786672 9803316 9870462 9961434 10027136 10119552 10188864 10330376 10645152 10835244 11082624 11184768 11280528 11384496 11437202 11621673 11806144 11975796 12362112 12383136 12467952 12641118 12892032 13048896 13071088 13160616 13281912 13686624 14193536 14249088 14446992 14680008 14704974 14805693 15040704 15179328 15283296 15495564 15967728 16252866 16510848 16623936 16777152 16854824 16920792 17155803 17547488 17709216 18248832 18574704 18961677 19262656 19338048 19573344 19606632 19740924 19922868 20377728 20660752 21290304 21670488 22057461 22561056 22768992 22874404 23243346 23612288 23951592 24766272 24935904 25282236 26097792 26142176 26321232 26563824 27373248 28893984 29360016 29409948 29611386 30081408 30358656 30566592 30991128 31935456 32505732 33247872 33554304 33709648 33841584 34311606 34865019 35094976 35418432 37149408 37923354 38525312 38676096 39146688 39213264 39481848 39845736 40030207 41321504 42580608 43340976 44114922 45122112 45537984 45748808 46486692 47903184 49532544 49871808 50564472 51467409 52284352 52642464 53127648 54746496 56885031 57787968 58720032 58819896 59222772 61133184 61982256 63870912 65011464 67419296 67683168 68623212 69730038 70189952 70836864 74298816 75846708 78293376 78426528 78963696 79691472 80060414 82643008 86681952 88229844 90244224 91075968 91497616 92973384 95806368 99743616 101128944 102934818 104568704 105284928 106255296 113770062 115575936 117440064 117639792 118445544 120090621 123964512 127741824 130022928 134838592 135366336 137246424 139460076 148597632 151693416 154402227 156853056 157927392 159382944 160120828 165286016 173363904 176459688 182995232 185946768 191612736 202257888 205869636 210569856 212510592 227540124 234880128 235279584 236891088 240181242 247929024 260045856 269677184 270732672 274492848 278920152 303386832 308804454 313706112 315854784 318765888 320241656 346727808 352919376 360271863 365990464 371893536 383225472 404515776 411739272 455080248 470559168 473782176 480362484 495858048 520091712 548985696 557840304 606773664 617608908 631709568 637531776 640483312 705838752 720543726 731980928 743787072 809031552 823478544 910160496 941118336 947564352 960724968 1040183424 1080815589 1097971392 1115680608 1213547328 1235217816 1280966624 1411677504 1441087452 1487574144 1646957088 1820320992 1895128704 1921449936 2161631178 2195942784 2231361216 2427094656 2470435632 2561933248 2823355008 2882174904 3293914176 3640641984 3842899872 4323262356 4462722432 4940871264 5123866496 5764349808 6587828352 7281283968 7685799744 8646524712 9881742528 11528699616 15371599488 17293049424 19763485056 23057399232 34586098848 46114798464 69172197696 138344395392
• Sum of all divisors σ(n): 524543731200
• Sum of proper divisors (its aliquot sum) s(n): 386199335808
• 138344395392 is an abundant number, because the sum of its proper divisors (386199335808) is greater than itself. Its abundance is 247854940416

Bases of 138344395392

• Binary: 10000000110101111101111111001010000000₂
• Hexadecimal: 0x2035F7F280
• Base-36: 1RJYOIO0

Squares and roots of 138344395392

• 138344395392 squared (138344395392²) is 19139171736378030833664
• 138344395392 cubed (138344395392³) is 2647797142172873487634779800076288
• The square root of 138344395392 is 371946.7641907911
• The cube root of 138344395392 is 5171.9445087473

Scales and comparisons

• 138,344,395,392 seconds is equal to 4,398 years, 48 weeks, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 138,344,395,392 would take you about eight thousand, seven hundred ninety-seven 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 138344395392 cubic inches would be around 431 feet tall.

Recreational maths with 138344395392

• 138344395392 backwards is 293593443831
• 138344395392 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138344395392's digits is 54
• More coming soon!