138961428480
138,961,428,480 is an even composite number composed of five prime numbers multiplied together.
138961428480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138961428480:
213 × 32 × 5 × 74 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 157)See below for interesting mathematical facts about the number 138961428480 from the Numbermatics database.
Names of 138961428480
- Cardinal: 138961428480 can be written as One hundred thirty-eight billion, nine hundred sixty-one million, four hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3896142848 × 1011
Factors of 138961428480
Divisors of 138961428480
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 157 160 168 180 192 196 210 224 240 245 252 256 280 288 294 314 315 320 336 343 360 384 392 420 441 448 471 480 490 504 512 560 576 588 628 630 640 672 686 720 735 768 784 785 840 882 896 942 960 980 1008 1024 1029 1099 1120 1152 1176 1256 1260 1280 1344 1372 1413 1440 1470 1536 1568 1570 1680 1715 1764 1792 1884 1920 1960 2016 2048 2058 2198 2205 2240 2304 2352 2355 2401 2512 2520 2560 2688 2744 2826 2880 2940 3072 3087 3136 3140 3297 3360 3430 3528 3584 3768 3840 3920 4032 4096 4116 4396 4410 4480 4608 4704 4710 4802 5024 5040 5120 5145 5376 5488 5495 5652 5760 5880 6144 6174 6272 6280 6594 6720 6860 7056 7065 7168 7203 7536 7680 7693 7840 8064 8192 8232 8792 8820 8960 9216 9408 9420 9604 9891 10048 10080 10240 10290 10752 10976 10990 11304 11520 11760 12005 12288 12348 12544 12560 13188 13440 13720 14112 14130 14336 14406 15072 15360 15386 15435 15680 16128 16464 16485 17584 17640 17920 18432 18816 18840 19208 19782 20096 20160 20480 20580 21504 21609 21952 21980 22608 23040 23079 23520 24010 24576 24696 25088 25120 26376 26880 27440 28224 28260 28672 28812 30144 30720 30772 30870 31360 32256 32928 32970 35168 35280 35840 36015 36864 37632 37680 38416 38465 39564 40192 40320 40960 41160 43008 43218 43904 43960 45216 46080 46158 47040 48020 49392 49455 50176 50240 52752 53760 53851 54880 56448 56520 57344 57624 60288 61440 61544 61740 62720 64512 65856 65940 69237 70336 70560 71680 72030 73728 75264 75360 76832 76930 79128 80384 80640 82320 86016 86436 87808 87920 90432 92160 92316 94080 96040 98784 98910 100352 100480 105504 107520 107702 108045 109760 112896 113040 115248 115395 120576 122880 123088 123480 125440 129024 131712 131880 138474 140672 141120 143360 144060 150528 150720 153664 153860 158256 160768 161280 161553 164640 172032 172872 175616 175840 180864 184320 184632 188160 192080 197568 197820 200704 200960 211008 215040 215404 216090 219520 225792 226080 230496 230790 241152 246176 246960 250880 258048 263424 263760 269255 276948 281344 282240 286720 288120 301056 301440 307328 307720 316512 321536 322560 323106 329280 345744 346185 351232 351680 361728 368640 369264 376320 376957 384160 395136 395640 401408 401920 422016 430080 430808 432180 439040 451584 452160 460992 461580 482304 484659 492352 493920 501760 516096 526848 527520 538510 553896 562688 564480 576240 602112 602880 614656 615440 633024 643072 645120 646212 658560 691488 692370 702464 703360 723456 738528 752640 753914 768320 790272 791280 803840 807765 844032 860160 861616 864360 878080 903168 904320 921984 923160 964608 969318 984704 987840 1003520 1053696 1055040 1077020 1107792 1125376 1128960 1130871 1152480 1204224 1205760 1229312 1230880 1266048 1286144 1290240 1292424 1317120 1382976 1384740 1404928 1406720 1446912 1477056 1505280 1507828 1536640 1580544 1582560 1607680 1615530 1688064 1723232 1728720 1756160 1806336 1808640 1843968 1846320 1884785 1929216 1938636 1969408 1975680 2007040 2107392 2110080 2154040 2215584 2250752 2257920 2261742 2304960 2411520 2423295 2458624 2461760 2532096 2580480 2584848 2634240 2765952 2769480 2809856 2813440 2893824 2954112 3010560 3015656 3073280 3161088 3165120 3215360 3231060 3376128 3392613 3446464 3457440 3512320 3612672 3617280 3687936 3692640 3769570 3858432 3877272 3938816 3951360 4214784 4220160 4308080 4431168 4501504 4515840 4523484 4609920 4823040 4846590 4917248 4923520 5064192 5169696 5268480 5531904 5538960 5626880 5654355 5787648 5908224 6021120 6031312 6146560 6322176 6330240 6430720 6462120 6752256 6785226 6892928 6914880 7024640 7234560 7375872 7385280 7539140 7754544 7877632 7902720 8429568 8440320 8616160 8862336 9003008 9031680 9046968 9219840 9646080 9693180 9834496 9847040 10128384 10339392 10536960 11063808 11077920 11253760 11308710 11575296 11816448 12062624 12293120 12644352 12660480 12924240 13504512 13570452 13785856 13829760 14049280 14469120 14751744 14770560 15078280 15509088 15755264 15805440 16880640 16963065 17232320 17724672 18063360 18093936 18439680 19292160 19386360 19668992 19694080 20256768 20678784 21073920 22127616 22155840 22507520 22617420 23632896 24125248 24586240 25288704 25320960 25848480 27009024 27140904 27571712 27659520 28938240 29503488 29541120 30156560 31018176 31510528 31610880 33761280 33926130 34464640 35449344 36187872 36879360 38772720 39388160 40513536 41357568 42147840 44255232 44311680 45015040 45234840 47265792 48250496 49172480 50641920 51696960 54281808 55143424 55319040 57876480 59006976 59082240 60313120 62036352 63021056 63221760 67522560 67852260 68929280 70898688 72375744 73758720 77545440 78776320 81027072 82715136 88510464 88623360 90469680 94531584 96500992 98344960 101283840 103393920 108563616 110286848 110638080 118164480 120626240 124072704 126443520 135045120 135704520 137858560 141797376 144751488 147517440 155090880 157552640 165430272 177020928 177246720 180939360 189063168 193001984 202567680 206787840 217127232 220573696 221276160 236328960 241252480 248145408 271409040 275717120 283594752 289502976 295034880 310181760 315105280 330860544 354493440 361878720 386003968 405135360 413575680 434254464 441147392 442552320 472657920 482504960 496290816 542818080 551434240 567189504 579005952 620363520 661721088 708986880 723757440 772007936 827151360 868508928 885104640 945315840 965009920 992581632 1085636160 1102868480 1158011904 1240727040 1323442176 1417973760 1447514880 1544015872 1654302720 1737017856 1930019840 1985163264 2171272320 2205736960 2316023808 2481454080 2835947520 2895029760 3088031744 3308605440 3474035712 3860039680 3970326528 4342544640 4632047616 4962908160 5790059520 6617210880 6948071424 7720079360 8685089280 9264095232 9925816320 11580119040 13896142848 15440158720 17370178560 19851632640 23160238080 27792285696 34740357120 46320476160 69480714240 138961428480
- Sum of all divisors σ(n): 565533361692
- Sum of proper divisors (its aliquot sum) s(n): 426571933212
- 138961428480 is an abundant number, because the sum of its proper divisors (426571933212) is greater than itself. Its abundance is 287610504732
Bases of 138961428480
- Binary: 100000010110101011111100100000000000002
- Hexadecimal: 0x205ABF2000
- Base-36: 1RU61OG0
Squares and roots of 138961428480
- 138961428480 squared (1389614284802) is 19310278605202155110400
- 138961428480 cubed (1389614284803) is 2683383899325673433315716104192000
-
The
square root of 138961428480 is 372775.3056198867 -
The
cube root of 138961428480 is 5179.6222758415
Scales and comparisons
How big is 138961428480?- 138,961,428,480 seconds is equal to 4,418 years, 28 weeks, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 138,961,428,480 would take you about eight thousand, eight hundred thirty-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 138961428480 cubic inches would be around 431.6 feet tall.
Recreational maths with 138961428480
- 138961428480 backwards is 084824169831
- The number of decimal digits it has is: 12
- The sum of 138961428480's digits is 54
- More coming soon!
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