137142655104
137,142,655,104 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137142655104 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
137142655104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137142655104:
27 × 3 × 72 × 13 × 47 × 79 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 47 × 79 × 151)See below for interesting mathematical facts about the number 137142655104 from the Numbermatics database.
Names of 137142655104
- Cardinal: 137142655104 can be written as One hundred thirty-seven billion, one hundred forty-two million, six hundred fifty-five thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37142655104 × 1011
Factors of 137142655104
Divisors of 137142655104
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 47 48 49 52 56 64 78 79 84 91 94 96 98 104 112 128 141 147 151 156 158 168 182 188 192 196 208 224 237 273 282 294 302 312 316 329 336 364 376 384 392 416 448 453 474 546 553 564 588 604 611 624 632 637 658 672 728 752 784 832 896 906 948 987 1027 1057 1092 1106 1128 1176 1208 1222 1248 1264 1274 1316 1344 1456 1504 1568 1659 1664 1812 1833 1896 1911 1963 1974 2054 2114 2184 2212 2256 2303 2352 2416 2444 2496 2528 2548 2632 2688 2912 3008 3081 3136 3171 3318 3624 3666 3713 3792 3822 3871 3926 3948 4108 4228 4277 4368 4424 4512 4606 4704 4832 4888 4992 5056 5096 5264 5824 5889 6016 6162 6272 6342 6636 6909 7097 7189 7248 7332 7399 7426 7584 7644 7742 7852 7896 8216 8456 8554 8736 8848 9024 9212 9408 9664 9776 10112 10192 10528 11139 11613 11648 11778 11929 12324 12684 12831 13272 13741 13818 14194 14378 14496 14664 14798 14852 15168 15288 15484 15704 15792 16432 16912 17108 17472 17696 18048 18424 18816 19328 19552 20384 21056 21291 21567 22197 22278 23226 23556 23858 24648 25368 25662 25991 26544 27482 27636 28388 28756 28992 29328 29596 29704 29939 30336 30576 30968 31408 31584 32864 33824 34216 34944 35392 35787 36848 39104 40768 41223 42112 42582 43134 44394 44556 46452 47112 47716 48269 49296 49679 50323 50736 51324 51982 53088 54964 55272 56776 57512 57984 58656 59192 59408 59878 61152 61936 62816 63168 65728 67648 68432 70784 71574 73696 77973 78208 81536 82446 83503 85164 86268 88788 89112 89817 92261 92904 94224 95432 96187 96538 98592 99358 100646 101472 102648 103964 106176 109928 110544 113552 115024 117312 118384 118816 119756 122304 123872 125632 126336 131456 135296 136864 143148 144807 147392 149037 150969 155077 155946 164892 167006 170328 172536 177576 178224 179634 181937 184522 185808 188448 190864 192374 193076 197184 198716 201292 202944 205296 207928 212352 219856 221088 227104 230048 234624 236768 237632 239512 244608 247744 250509 251264 273728 276783 286296 288561 289614 294784 298074 301938 310154 311892 329784 334012 337883 340656 345072 347753 355152 356448 359268 363874 369044 371616 376896 381728 384748 386152 394368 397432 402584 405888 410592 415856 439712 442176 454208 460096 465231 473536 475264 479024 495488 501018 545811 547456 553566 560663 572592 577122 579228 584521 596148 603876 620308 623784 645827 659568 668024 675766 681312 690144 695506 710304 712896 718536 727748 738088 743232 753792 763456 769496 772304 794864 805168 821184 831712 879424 884352 908416 920192 930462 947072 958048 1002036 1013649 1043259 1085539 1091622 1107132 1121326 1145184 1154244 1158456 1169042 1192296 1207752 1240616 1247568 1291654 1319136 1336048 1351532 1362624 1380288 1391012 1420608 1425792 1437072 1455496 1476176 1486464 1526912 1538992 1544608 1589728 1610336 1642368 1663424 1681989 1753563 1758848 1860924 1916096 1937481 2004072 2027298 2086518 2171078 2183244 2214264 2242652 2290368 2308488 2316912 2338084 2365181 2384592 2415504 2481232 2495136 2583308 2638272 2672096 2703064 2725248 2760576 2782024 2841216 2874144 2910992 2952352 3077984 3089216 3179456 3220672 3256617 3326848 3363978 3507126 3721848 3832192 3874962 3924641 4008144 4054596 4173036 4342156 4366488 4428528 4485304 4520789 4580736 4616976 4633824 4676168 4730362 4769184 4831008 4962464 4990272 5166616 5276544 5344192 5406128 5564048 5748288 5821984 5904704 6155968 6178432 6358912 6441344 6513234 6727956 7014252 7095543 7288619 7443696 7598773 7749924 7849282 8016288 8109192 8346072 8684312 8732976 8857056 8970608 9041578 9233952 9267648 9352336 9460724 9538368 9662016 9924928 9980544 10333232 10688384 10812256 11128096 11496576 11643968 11773923 11809408 12311936 13026468 13455912 13562367 14028504 14191086 14577238 14887392 15197546 15499848 15698564 16032576 16218384 16692144 17368624 17465952 17714112 17941216 18083156 18467904 18535296 18704672 18921448 19076736 19324032 19849856 20666464 21624512 21865857 22256192 22796319 23287936 23547846 26052936 26911824 27124734 27472487 28057008 28382172 29154476 29774784 30395092 30999696 31397128 32065152 32436768 33384288 34737248 34931904 35428224 35882432 36166312 36935808 37409344 37842896 41332928 43249024 43731714 44512384 45592638 47095692 51020333 52105872 53823648 54249468 54944974 56114016 56764344 58308952 59549568 60790184 61999392 62794256 64873536 66768576 69474496 69863808 71764864 72332624 74818688 75685792 82417461 82665856 87463428 91185276 94191384 102040666 104211744 107647296 108498936 109889948 112228032 113528688 116617904 121580368 123998784 125588512 129747072 133537152 138948992 144665248 151371584 153060999 164834922 174926856 182370552 188382768 204081332 208423488 215294592 216997872 219779896 224456064 227057376 233235808 243160736 247997568 251177024 289330496 302743168 306121998 329669844 349853712 357142331 364741104 376765536 408162664 416846976 433995744 439559792 454114752 466471616 486321472 502354048 578660992 612243996 659339688 699707424 714284662 729482208 753531072 816325328 867991488 879119584 908229504 932943232 972642944 1071426993 1224487992 1318679376 1399414848 1428569324 1458964416 1507062144 1632650656 1735982976 1758239168 2142853986 2448975984 2637358752 2798829696 2857138648 2917928832 3265301312 3516478336 4285707972 4897951968 5274717504 5714277296 6530602624 8571415944 9795903936 10549435008 11428554592 17142831888 19591807872 22857109184 34285663776 45714218368 68571327552 137142655104
- Sum of all divisors σ(n): 475092172800
- Sum of proper divisors (its aliquot sum) s(n): 337949517696
- 137142655104 is an abundant number, because the sum of its proper divisors (337949517696) is greater than itself. Its abundance is 200806862592
Bases of 137142655104
- Binary: 11111111011100101011011011000100000002
- Hexadecimal: 0x1FEE56D880
- Base-36: 1R0371XC
Squares and roots of 137142655104
- 137142655104 squared (1371426551042) is 18808107848974697250816
- 137142655104 cubed (1371426551043) is 2579393847890772225091475670564864
-
The
square root of 137142655104 is 370327.7671252859 -
The
cube root of 137142655104 is 5156.9254251605
Scales and comparisons
How big is 137142655104?- 137,142,655,104 seconds is equal to 4,360 years, 37 weeks, 5 hours, 58 minutes, 24 seconds.
-
To count from 1 to 137,142,655,104 would take you about eight thousand, seven hundred twenty-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 137142655104 cubic inches would be around 429.7 feet tall.
Recreational maths with 137142655104
- 137142655104 backwards is 401556241731
- 137142655104 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137142655104's digits is 39
- More coming soon!
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The information we have on file for 137142655104 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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