137400670680
137,400,670,680 is an even composite number composed of seven prime numbers multiplied together.
137400670680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137400670680:
23 × 3 × 5 × 72 × 132 × 372 × 101
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 37 × 37 × 101)See below for interesting mathematical facts about the number 137400670680 from the Numbermatics database.
Names of 137400670680
- Cardinal: 137400670680 can be written as One hundred thirty-seven billion, four hundred million, six hundred seventy thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3740067068 × 1011
Factors of 137400670680
Divisors of 137400670680
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 37 39 40 42 49 52 56 60 65 70 74 78 84 91 98 101 104 105 111 120 130 140 147 148 156 168 169 182 185 195 196 202 210 222 245 259 260 273 280 294 296 303 312 338 364 370 390 392 404 420 444 455 481 490 505 507 518 520 546 555 588 606 637 676 707 728 735 740 777 780 808 840 845 888 910 962 980 1010 1014 1036 1092 1110 1176 1183 1212 1274 1295 1313 1352 1365 1369 1414 1443 1470 1480 1515 1554 1560 1690 1813 1820 1911 1924 1960 2020 2028 2072 2121 2184 2220 2366 2405 2424 2535 2548 2590 2626 2730 2738 2828 2886 2940 3030 3108 3185 3367 3380 3535 3549 3626 3640 3737 3822 3848 3885 3939 4040 4056 4107 4242 4440 4732 4810 4949 5070 5096 5180 5252 5439 5460 5476 5656 5772 5880 5915 6060 6216 6253 6370 6565 6734 6760 6845 7070 7098 7215 7252 7474 7644 7770 7878 8214 8281 8484 9065 9191 9464 9555 9583 9620 9898 10101 10140 10360 10504 10605 10878 10920 10952 11211 11544 11830 12120 12506 12740 13130 13468 13690 14140 14196 14430 14504 14847 14948 15288 15540 15756 16428 16562 16835 16968 17069 17745 17797 18130 18382 18685 18759 19110 19166 19240 19695 19796 20202 20280 20535 21210 21756 22422 23569 23660 24745 24843 25012 25480 26159 26260 26936 27195 27380 27573 28280 28392 28749 28860 29694 29896 31080 31265 31512 32856 33124 33670 34138 35490 35594 36260 36764 37370 37518 38220 38332 39390 39592 40404 41070 41405 42420 43512 43771 44844 45955 47138 47320 47915 48581 49490 49686 50024 50505 51207 52318 52520 53391 54390 54760 55146 56055 57498 57720 59388 62530 64337 66248 67081 67340 68276 70707 70980 71188 72520 73528 74235 74740 75036 76440 76664 78477 78780 80808 82140 82810 84840 85345 87542 88985 89688 91910 93795 94276 95830 97162 98980 99372 101010 102414 104636 106782 108780 110292 112110 114996 117845 118776 119483 124215 124579 125060 128674 130795 131313 134162 134680 136552 137865 138269 141414 141960 142376 143745 145743 148470 149480 150072 156954 157560 164280 165620 170690 175084 177970 183113 183820 187590 188552 191660 193011 194324 197960 198744 201243 202020 204828 209272 213564 217560 218855 220584 224220 229992 231361 235690 238966 242905 248430 249158 250120 256035 257348 261590 262626 266955 268324 275730 276538 282828 287490 291486 296940 306397 313908 321685 331240 335405 340067 341380 350168 353535 355940 358449 366226 367640 373737 375180 383320 386022 388648 392385 402486 404040 409656 414807 427128 437710 448440 462722 471380 477932 485810 496860 498316 512070 514696 523180 525252 533910 536648 549339 551460 553076 565656 574980 582972 593880 597415 612794 622895 627816 631553 643370 656565 670810 680134 682760 691345 694083 707070 711880 716898 728715 732452 747474 750360 772044 784770 804972 829614 836381 872053 875420 915565 919191 925444 942760 955864 965055 967883 971620 993720 996632 1006215 1020201 1024140 1046360 1050504 1067820 1098678 1102920 1106152 1149960 1156805 1165944 1194830 1225588 1245790 1263106 1286740 1313130 1341620 1360268 1382690 1388166 1414140 1433796 1457430 1464904 1494948 1531985 1544088 1569540 1609944 1619527 1659228 1672762 1700335 1744106 1750840 1792245 1797497 1831130 1838382 1850888 1868685 1894659 1930110 1935766 1943240 2012430 2040402 2048280 2074035 2135640 2197356 2313610 2380469 2389660 2451176 2491580 2509143 2526212 2573480 2616159 2626260 2683240 2720536 2746695 2765380 2776332 2828280 2867592 2903649 2914860 2989896 3063970 3139080 3157765 3239054 3318456 3345524 3400670 3470415 3488212 3584490 3594994 3662260 3676764 3737370 3789318 3860220 3871532 4024860 4080804 4148070 4181905 4360265 4394712 4420871 4595955 4627220 4760938 4779320 4839415 4858581 4983160 5018286 5052424 5101005 5232318 5252520 5392491 5493390 5530760 5552664 5807298 5829720 6127940 6315530 6478108 6691048 6775181 6801340 6940830 6976424 7141407 7168980 7189988 7324520 7353528 7474740 7578636 7720440 7743064 8049720 8097635 8161608 8296140 8363810 8720530 8841742 8987485 9191910 9254440 9473295 9521876 9678830 9717162 10036572 10202010 10464636 10784982 10986780 11336689 11614596 11902345 12255880 12545715 12582479 12631060 12956216 13080795 13262613 13550362 13602680 13881660 14282814 14337960 14379976 14518245 14949480 15157272 16195270 16592280 16727620 17441060 17683484 17974970 18383820 18946590 19043752 19357660 19434324 20073144 20325543 20404020 20929272 21569964 21973560 22104355 22673378 23229192 23367461 23804690 24292905 25091430 25164958 25262120 26161590 26525226 26962455 27100724 27763320 28565628 29036490 30946097 32390540 33455240 33875905 34010067 34882120 35366968 35707035 35949940 36767640 37747437 37893180 38715320 38868648 40651086 40808040 43139928 44208710 45346756 46734922 47609380 48585810 50182860 50329916 52323180 53050452 53924910 54201448 56683445 57131256 58072980 61892194 62912395 64781080 66313065 67751810 68020134 70102383 71414070 71899880 75494874 75786360 81302172 88077353 88417420 90693512 92838291 93469844 95218760 97171620 100365720 100659832 101627715 104646360 106100904 107849820 113366890 116145960 116837305 123784388 125824790 132626130 135503620 136040268 140204766 142828140 150989748 154730485 162604344 163572227 170050335 176154706 176834840 185676582 186939688 188737185 194343240 203255430 215699640 226733780 233674610 247568776 251649580 264232059 265252260 271007240 272080536 280409532 285656280 301979496 309460970 327144454 340100670 350511915 352309412 371353164 377474370 406510860 440386765 453467560 464191455 467349220 490716681 503299160 528464118 530504520 560819064 618921940 654288908 680201340 701023830 704618824 742706328 754948740 813021720 817861135 880773530 928382910 934698440 981433362 1056928236 1145005589 1237843880 1308577816 1321160295 1360402680 1402047660 1509897480 1635722270 1761547060 1856765820 1962866724 2113856472 2290011178 2453583405 2642320590 2804095320 3271444540 3435016767 3523094120 3713531640 3925733448 4580022356 4907166810 5284641180 5725027945 6542889080 6870033534 9160044712 9814333620 10569282360 11450055890 13740067068 17175083835 19628667240 22900111780 27480134136 34350167670 45800223560 68700335340 137400670680
- Sum of all divisors σ(n): 538918032240
- Sum of proper divisors (its aliquot sum) s(n): 401517361560
- 137400670680 is an abundant number, because the sum of its proper divisors (401517361560) is greater than itself. Its abundance is 264116690880
Bases of 137400670680
- Binary: 11111111111011011011111011001110110002
- Hexadecimal: 0x1FFDB7D9D8
- Base-36: 1R4CT80O
Squares and roots of 137400670680
- 137400670680 squared (1374006706802) is 18878944303313811662400
- 137400670680 cubed (1374006706803) is 2593979609005683068920965738432000
-
The
square root of 137400670680 is 370675.9645296685 -
The
cube root of 137400670680 is 5160.1574211333
Scales and comparisons
How big is 137400670680?- 137,400,670,680 seconds is equal to 4,368 years, 47 weeks, 4 days, 12 hours, 58 minutes.
-
To count from 1 to 137,400,670,680 would take you about eight thousand, seven 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 137400670680 cubic inches would be around 430 feet tall.
Recreational maths with 137400670680
- 137400670680 backwards is 086076004731
- 137400670680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137400670680's digits is 42
- More coming soon!
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