138582173328
138,582,173,328 is an even composite number composed of seven prime numbers multiplied together.
138582173328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138582173328:
24 × 3 × 292 × 31 × 37 × 41 × 73
(2 × 2 × 2 × 2 × 3 × 29 × 29 × 31 × 37 × 41 × 73)See below for interesting mathematical facts about the number 138582173328 from the Numbermatics database.
Names of 138582173328
- Cardinal: 138582173328 can be written as One hundred thirty-eight billion, five hundred eighty-two million, one hundred seventy-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38582173328 × 1011
Factors of 138582173328
Divisors of 138582173328
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 31 37 41 48 58 62 73 74 82 87 93 111 116 123 124 146 148 164 174 186 219 222 232 246 248 292 296 328 348 372 438 444 464 492 496 584 592 656 696 744 841 876 888 899 984 1073 1147 1168 1189 1271 1392 1488 1517 1682 1752 1776 1798 1968 2117 2146 2263 2294 2378 2523 2542 2697 2701 2993 3034 3219 3364 3441 3504 3567 3596 3813 4234 4292 4526 4551 4588 4756 5046 5084 5394 5402 5986 6068 6351 6438 6728 6789 6882 7134 7192 7626 8103 8468 8584 8979 9052 9102 9176 9512 10092 10168 10788 10804 11972 12136 12702 12876 13456 13578 13764 14268 14384 15252 16206 16936 17168 17958 18104 18204 18352 19024 20184 20336 21576 21608 23944 24272 25404 25752 26071 27156 27528 28536 30504 31117 32412 33263 33872 34481 35916 36208 36408 36859 40368 43152 43216 43993 47027 47888 50808 51504 52142 54312 55056 57072 61008 61393 62234 64824 65627 66526 68962 71832 72816 73718 78213 78329 83731 86797 87986 92783 93351 94054 99789 101616 103443 104284 108624 110577 110741 122786 124468 129648 131254 131979 133052 137924 141081 143664 147436 156426 156658 167462 173594 175972 184179 185566 186702 188108 196881 199578 206886 208568 221154 221482 234987 245572 248936 251193 260391 262508 263958 266104 275848 278349 282162 294872 312852 313316 332223 334924 347188 351944 368358 371132 373404 376216 393762 399156 413772 417136 442308 442964 469974 491144 497872 502386 520782 525016 527916 532208 551696 556698 564324 589744 625704 626632 664446 669848 694376 703888 736716 742264 746808 752432 787524 798312 827544 884616 885928 939948 964627 982288 1004772 1041564 1050032 1055832 1068911 1113396 1128648 1251408 1253264 1275797 1328892 1339696 1363783 1388752 1473432 1484528 1493616 1575048 1596624 1655088 1769232 1771856 1879896 1903183 1929254 2009544 2083128 2111664 2137822 2226792 2257296 2271541 2428199 2517113 2551594 2657784 2690707 2727566 2893881 2946864 3150096 3206733 3211489 3432971 3759792 3806366 3827391 3858508 4019088 4091349 4166256 4275644 4453584 4543082 4856398 5034226 5103188 5315568 5381414 5455132 5709549 5787762 6413466 6422978 6814623 6865942 7284597 7551339 7612732 7654782 7717016 8072121 8182698 8551288 9086164 9634467 9712796 10068452 10206376 10298913 10762828 10910264 11419098 11575524 12826932 12845956 13629246 13731884 14569194 15102678 15225464 15309564 15434032 16144242 16365396 17102576 18172328 19268934 19425592 20136904 20412752 20597826 21525656 21820528 22838196 23151048 25653864 25691912 27258492 27463768 29138388 30205356 30450928 30619128 32288484 32730792 36344656 38537868 38851184 39549707 40273808 41195652 43051312 45676392 46302096 51307728 51383824 54516984 54927536 58276776 60410712 61238256 64576968 65461584 70417771 77075736 78030503 79099414 82391304 91352784 93133181 99556159 109033968 116553552 118649121 120821424 129153936 140835542 154151472 156061006 158198828 164782608 186266362 199112318 211253313 234091509 237298242 279399543 281671084 298668477 312122012 316397656 372532724 398224636 422506626 468183018 474596484 558799086 563342168 597336954 624244024 632795312 745065448 796449272 845013252 936366036 949192968 1117598172 1126684336 1194673908 1248488048 1490130896 1592898544 1690026504 1872732072 1898385936 2235196344 2389347816 2887128611 3380053008 3745464144 4470392688 4778695632 5774257222 8661385833 11548514444 17322771666 23097028888 34645543332 46194057776 69291086664 138582173328
- Sum of all divisors σ(n): 408182541312
- Sum of proper divisors (its aliquot sum) s(n): 269600367984
- 138582173328 is an abundant number, because the sum of its proper divisors (269600367984) is greater than itself. Its abundance is 131018194656
Bases of 138582173328
- Binary: 100000010001000010010000100110100100002
- Hexadecimal: 0x2044242690
- Base-36: 1RNW8XAO
Squares and roots of 138582173328
- 138582173328 squared (1385821733282) is 19205018764311834595584
- 138582173328 cubed (1385821733283) is 2661473239163355042566888671383552
-
The
square root of 138582173328 is 372266.2667070441 -
The
cube root of 138582173328 is 5174.9058873781
Scales and comparisons
How big is 138582173328?- 138,582,173,328 seconds is equal to 4,406 years, 25 weeks, 1 day, 8 hours, 8 minutes, 48 seconds.
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To count from 1 to 138,582,173,328 would take you about eight thousand, eight hundred twelve 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 138582173328 cubic inches would be around 431.2 feet tall.
Recreational maths with 138582173328
- 138582173328 backwards is 823371285831
- The number of decimal digits it has is: 12
- The sum of 138582173328's digits is 51
- More coming soon!
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