138248329968
138,248,329,968 is an even composite number composed of seven prime numbers multiplied together.
138248329968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138248329968:
24 × 32 × 7 × 17 × 292 × 53 × 181
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 29 × 29 × 53 × 181)See below for interesting mathematical facts about the number 138248329968 from the Numbermatics database.
Names of 138248329968
- Cardinal: 138248329968 can be written as One hundred thirty-eight billion, two hundred forty-eight million, three hundred twenty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38248329968 × 1011
Factors of 138248329968
Divisors of 138248329968
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 29 34 36 42 48 51 53 56 58 63 68 72 84 87 102 106 112 116 119 126 136 144 153 159 168 174 181 203 204 212 232 238 252 261 272 306 318 336 348 357 362 371 406 408 424 464 476 477 493 504 522 543 609 612 636 696 714 724 742 812 816 841 848 901 952 954 986 1008 1044 1071 1086 1113 1218 1224 1267 1272 1392 1428 1448 1479 1484 1537 1624 1629 1682 1802 1827 1904 1908 1972 2088 2142 2172 2226 2436 2448 2523 2534 2544 2703 2856 2896 2958 2968 3074 3077 3248 3258 3339 3364 3451 3604 3654 3801 3816 3944 4176 4284 4344 4437 4452 4611 4872 5046 5068 5249 5406 5712 5887 5916 5936 6148 6154 6307 6516 6678 6728 6902 7208 7308 7569 7602 7632 7888 8109 8568 8688 8874 8904 9222 9231 9593 9744 10092 10136 10353 10498 10759 10812 11403 11774 11832 12296 12308 12614 13032 13356 13456 13804 13833 14297 14416 14616 15138 15204 15747 16218 17136 17661 17748 17808 18444 18462 18921 19186 20184 20272 20706 20996 21518 21539 21624 22806 23548 23664 24592 24616 25228 26064 26129 26712 27608 27666 27693 28594 28779 29232 30276 30408 31059 31494 32277 32436 35322 35496 36743 36888 36924 37842 38372 40368 41412 41992 42891 43036 43078 43248 44573 45612 47096 47241 49232 50456 52258 52983 53424 55216 55332 55386 56763 57188 57558 60552 60816 62118 62988 64554 64617 64872 67151 70644 70992 73486 73776 73848 75684 76744 78387 82824 83984 85782 86072 86156 86337 89146 89233 91224 94192 94482 96831 100079 100912 104516 105966 110229 110664 110772 113526 114376 115116 121104 124236 125976 128673 129108 129234 129744 133719 134302 141288 146972 147696 151368 152221 153488 156774 163081 165648 171564 172144 172312 172674 178292 178466 182448 182903 188964 193662 193851 200158 201453 209032 211932 220458 221328 221544 227052 228752 230232 235161 248472 251952 257346 258216 258468 267438 267699 268604 278197 282576 293944 300237 302736 304442 312011 313548 326162 330687 343128 344624 345348 356584 356932 365806 377928 387324 387702 400316 401157 402906 418064 423864 440916 443088 454104 456663 460464 470322 489243 496944 514692 516432 516936 534876 535398 537208 548709 556394 587888 600474 604359 608884 624022 624631 627096 652324 661374 686256 690696 713168 713864 731612 755856 757741 774648 775404 800632 802314 803097 805812 834591 847728 881832 900711 908208 913326 936033 940644 978486 1029384 1033872 1065547 1069752 1070796 1074416 1097418 1112788 1141567 1200948 1208718 1217768 1248044 1249262 1254192 1304648 1322748 1369989 1381392 1427728 1463224 1467729 1515482 1549296 1550808 1601264 1604628 1606194 1611624 1646127 1669182 1763664 1801422 1826652 1872066 1873893 1881288 1947379 1956972 2058768 2131094 2139504 2141592 2194836 2225576 2273223 2283134 2401896 2417436 2435536 2496088 2498524 2503773 2587757 2609296 2645496 2739978 2808099 2926448 2935458 3030964 3101616 3196641 3209256 3212388 3223248 3292254 3338364 3424701 3602844 3653304 3744132 3747786 3762576 3894758 3913944 4262188 4283184 4389672 4451152 4546446 4566268 4729349 4803792 4834872 4992176 4997048 5007546 5175514 5290992 5304187 5479956 5616198 5621679 5842137 5870916 6061928 6393282 6418512 6424776 6584508 6676728 6819669 6849402 7205688 7306608 7488264 7495572 7763271 7789516 7827888 8067713 8524376 8779344 9092892 9132536 9458698 9589923 9669744 9994096 10015092 10274103 10351028 10608374 10959912 11232396 11243358 11684274 11741832 12123856 12786564 12849552 13169016 13353456 13639338 13698804 14188047 14411376 14976528 14991144 15526542 15579032 15912561 16135426 17048752 17526411 18114299 18185784 18265072 18917396 19179846 20030184 20548206 20702056 21216748 21919824 22464792 22486716 23289813 23368548 23483664 24203139 25573128 26338032 27278676 27397608 28376094 29982288 31053084 31158064 31825122 32270852 33105443 35052822 36228598 36371568 37834792 38359692 40060368 41096412 41404112 42433496 42564141 44929584 44973432 46579626 46737096 47737683 48406278 51146256 54342897 54557352 54795216 56473991 56752188 62106168 63650244 64541704 66210886 70105644 72457196 72609417 75669584 76719384 82192824 84866992 85128282 89946864 93159252 93474192 95475366 96812556 99316329 108685794 109114704 112947982 113504376 124212336 127300488 129083408 132421772 137151121 140211288 144914392 145218834 153438768 163028691 164385648 169421973 170256564 186318504 190950732 193625112 198632658 217371588 225895964 227008752 254600976 264843544 274302242 280422576 289828784 290437668 297948987 326057382 338843946 340513128 372637008 381901464 387250224 397265316 411453363 434743176 451791928 508265919 529687088 548604484 580875336 595897974 652114764 677687892 681026256 763802928 794530632 822906726 869486352 903583856 960057847 1016531838 1097208968 1161750672 1191795948 1234360089 1304229528 1355375784 1589061264 1645813452 1920115694 2033063676 2194417936 2383591896 2468720178 2608459056 2710751568 2880173541 3291626904 3840231388 4066127352 4767183792 4937440356 5760347082 6583253808 7680462776 8132254704 8640520623 9874880712 11520694164 15360925552 17281041246 19749761424 23041388328 34562082492 46082776656 69124164984 138248329968
- Sum of all divisors σ(n): 496764830016
- Sum of proper divisors (its aliquot sum) s(n): 358516500048
- 138248329968 is an abundant number, because the sum of its proper divisors (358516500048) is greater than itself. Its abundance is 220268170080
Bases of 138248329968
- Binary: 100000001100000011111000011010111100002
- Hexadecimal: 0x20303E1AF0
- Base-36: 1RIDHI40
Squares and roots of 138248329968
- 138248329968 squared (1382483299682) is 19112600738941006881024
- 138248329968 cubed (1382483299683) is 2642285133503756946173964469727232
-
The
square root of 138248329968 is 371817.6030905477 -
The
cube root of 138248329968 is 5170.7471103101
Scales and comparisons
How big is 138248329968?- 138,248,329,968 seconds is equal to 4,395 years, 45 weeks, 1 day, 9 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,248,329,968 would take you about eight thousand, seven hundred ninety-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 138248329968 cubic inches would be around 430.9 feet tall.
Recreational maths with 138248329968
- 138248329968 backwards is 869923842831
- 138248329968 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138248329968's digits is 63
- More coming soon!
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The information we have on file for 138248329968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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