138437806080

Names of 138437806080

• Cardinal: 138437806080 can be written as One hundred thirty-eight billion, four hundred thirty-seven million, eight hundred six thousand and eighty.

Scientific notation

• Scientific notation: 1.3843780608 × 10¹¹

Factors of 138437806080

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1160

Divisors of 138437806080

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 31 32 35 38 40 42 48 56 57 60 62 64 70 76 80 84 93 95 96 105 112 114 120 124 128 133 140 152 155 160 168 186 190 192 210 217 224 228 240 248 256 266 280 285 304 310 320 336 372 380 384 399 420 434 448 456 465 480 496 512 532 560 570 589 608 620 640 651 665 672 744 760 768 798 840 868 896 912 930 960 992 1024 1064 1085 1093 1120 1140 1178 1216 1240 1280 1302 1330 1344 1488 1520 1536 1596 1680 1736 1767 1792 1824 1860 1920 1984 1995 2048 2128 2170 2186 2240 2280 2356 2432 2480 2560 2604 2660 2688 2945 2976 3040 3072 3192 3255 3279 3360 3472 3534 3584 3648 3720 3840 3968 3990 4123 4256 4340 4372 4480 4560 4712 4864 4960 5120 5208 5320 5376 5465 5890 5952 6080 6144 6384 6510 6558 6720 6944 7068 7168 7296 7440 7651 7680 7936 7980 8246 8512 8680 8744 8835 8960 9120 9424 9728 9920 10240 10416 10640 10752 10930 11780 11904 12160 12369 12768 13020 13116 13440 13888 14136 14336 14592 14880 15302 15360 15872 15960 16395 16492 17024 17360 17488 17670 17920 18240 18848 19456 19840 20615 20767 20832 21280 21504 21860 22953 23560 23808 24320 24738 25536 26040 26232 26880 27776 28272 29184 29760 30604 30720 31744 31920 32790 32984 33883 34048 34720 34976 35340 35840 36480 37696 38255 38912 39680 41230 41534 41664 42560 43008 43720 45906 47120 47616 48640 49476 51072 52080 52464 53760 55552 56544 58368 59520 61208 61845 62301 63488 63840 65580 65968 67766 68096 69440 69952 70680 71680 72960 75392 76510 79360 82460 83068 83328 85120 87440 91812 94240 95232 97280 98952 101649 102144 103835 104160 104928 107520 111104 113088 114765 116736 119040 122416 123690 124602 127680 131160 131936 135532 136192 138880 139904 141360 145369 145920 150784 153020 158720 164920 166136 166656 169415 170240 174880 183624 188480 190464 194560 197904 203298 204288 207670 208320 209856 215040 222208 226176 229530 237181 238080 244832 247380 249204 255360 262320 263872 271064 272384 277760 279808 282720 290738 291840 301568 306040 311505 317440 329840 332272 333312 338830 340480 349760 367248 376960 395808 406596 408576 415340 416640 419712 436107 444416 452352 459060 474362 476160 489664 494760 498408 508245 510720 524640 527744 542128 555520 559616 565440 581476 583680 603136 612080 623010 643777 659680 664544 666624 677660 680960 699520 711543 726845 734496 753920 791616 813192 817152 830680 833280 839424 872214 904704 918120 948724 952320 979328 989520 996816 1016490 1021440 1049280 1055488 1084256 1111040 1119232 1130880 1162952 1185905 1206272 1224160 1246020 1287554 1319360 1329088 1333248 1355320 1361920 1399040 1423086 1453690 1468992 1507840 1583232 1626384 1661360 1666560 1678848 1744428 1809408 1836240 1897448 1931331 1958656 1979040 1993632 2032980 2042880 2098560 2110976 2168512 2180535 2222080 2238464 2261760 2325904 2371810 2448320 2492040 2575108 2638720 2658176 2710640 2798080 2846172 2907380 2937984 3015680 3166464 3218885 3252768 3322720 3333120 3357696 3488856 3557715 3618816 3672480 3794896 3862662 3917312 3958080 3987264 4065960 4085760 4197120 4221952 4337024 4361070 4506439 4523520 4651808 4743620 4896640 4984080 5150216 5277440 5316352 5421280 5596160 5692344 5814760 5875968 6031360 6332928 6437770 6505536 6645440 6666240 6715392 6977712 7115430 7344960 7589792 7725324 7834624 7916160 7974528 8131920 8394240 8443904 8674048 8722140 9012878 9047040 9303616 9487240 9656655 9793280 9968160 10300432 10554880 10632704 10842560 11192320 11384688 11629520 11751936 12665856 12875540 13011072 13290880 13519317 13955424 14230860 14689920 15179584 15450648 15669248 15832320 15949056 16263840 16788480 17348096 17444280 18025756 18094080 18607232 18974480 19313310 19586560 19936320 20600864 21109760 21265408 21685120 22532195 22769376 23259040 23503872 25331712 25751080 26022144 26581760 27038634 27910848 28461720 29379840 30359168 30901296 31664640 31898112 32527680 33576960 34696192 34888560 36051512 37214464 37948960 38626620 39173120 39872640 41201728 42219520 42530816 43370240 45064390 45538752 46518080 47007744 51502160 52044288 53163520 54077268 55821696 56923440 58759680 60718336 61802592 63329280 63796224 65055360 67596585 69392384 69777120 72103024 74428928 75897920 77253240 78346240 79745280 82403456 86740480 90128780 91077504 93036160 103004320 104088576 106327040 108154536 111643392 113846880 117519360 121436672 123605184 126658560 127592448 130110720 135193170 139554240 144206048 148857856 151795840 154506480 159490560 164806912 173480960 180257560 182155008 186072320 206008640 208177152 212654080 216309072 223286784 227693760 235038720 242873344 247210368 260221440 270386340 279108480 288412096 297715712 303591680 309012960 318981120 329613824 346961920 360515120 364310016 372144640 412017280 432618144 446573568 455387520 485746688 494420736 520442880 540772680 558216960 576824192 607183360 618025920 637962240 659227648 721030240 728620032 744289280 824034560 865236288 893147136 910775040 988841472 1040885760 1081545360 1116433920 1153648384 1214366720 1236051840 1318455296 1442060480 1457240064 1488578560 1648069120 1730472576 1821550080 1977682944 2163090720 2232867840 2307296768 2428733440 2472103680 2884120960 3296138240 3460945152 3643100160 3955365888 4326181440 4465735680 4614593536 4944207360 5768241920 6592276480 6921890304 7286200320 8652362880 9229187072 9888414720 11536483840 13843780608 17304725760 19776829440 23072967680 27687561216 34609451520 46145935360 69218903040 138437806080
• Sum of all divisors σ(n): 550493798400
• Sum of proper divisors (its aliquot sum) s(n): 412055992320
• 138437806080 is an abundant number, because the sum of its proper divisors (412055992320) is greater than itself. Its abundance is 273618186240

Bases of 138437806080

• Binary: 10000000111011100010010100100000000000₂
• Hexadecimal: 0x203B894800
• Base-36: 1RLIAMTC

Squares and roots of 138437806080

• 138437806080 squared (138437806080²) is 19165026152243684966400
• 138437806080 cubed (138437806080³) is 2653164173982439816283094515712000
• The square root of 138437806080 is 372072.3129715513
• The cube root of 138437806080 is 5173.1082860499

Scales and comparisons

• 138,437,806,080 seconds is equal to 4,401 years, 46 weeks, 3 days, 10 hours, 8 minutes.
• To count from 1 to 138,437,806,080 would take you about eight thousand, eight hundred three 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 138437806080 cubic inches would be around 431.1 feet tall.

Recreational maths with 138437806080

• 138437806080 backwards is 080608734831
• 138437806080 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138437806080's digits is 48
• More coming soon!