137341102080
137,341,102,080 is an even composite number composed of seven prime numbers multiplied together.
137341102080 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 137341102080:
211 × 3 × 5 × 7 × 13 × 73 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 73 × 673)See below for interesting mathematical facts about the number 137341102080 from the Numbermatics database.
Names of 137341102080
- Cardinal: 137341102080 can be written as One hundred thirty-seven billion, three hundred forty-one million, one hundred two thousand and eighty.
Scientific notation
- Scientific notation: 1.3734110208 × 1011
Factors of 137341102080
Divisors of 137341102080
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 73 78 80 84 91 96 104 105 112 120 128 130 140 146 156 160 168 182 192 195 208 210 219 224 240 256 260 273 280 292 312 320 336 364 365 384 390 416 420 438 448 455 480 511 512 520 546 560 584 624 640 672 673 728 730 768 780 832 840 876 896 910 949 960 1022 1024 1040 1092 1095 1120 1168 1248 1280 1344 1346 1365 1456 1460 1533 1536 1560 1664 1680 1752 1792 1820 1898 1920 2019 2044 2048 2080 2184 2190 2240 2336 2496 2555 2560 2688 2692 2730 2847 2912 2920 3066 3072 3120 3328 3360 3365 3504 3584 3640 3796 3840 4038 4088 4160 4368 4380 4480 4672 4711 4745 4992 5110 5120 5376 5384 5460 5694 5824 5840 6132 6144 6240 6643 6656 6720 6730 7008 7168 7280 7592 7665 7680 8076 8176 8320 8736 8749 8760 8960 9344 9422 9490 9984 10095 10220 10240 10752 10768 10920 11388 11648 11680 12264 12480 13286 13312 13440 13460 14016 14133 14235 14336 14560 15184 15330 15360 16152 16352 16640 17472 17498 17520 17920 18688 18844 18980 19929 19968 20190 20440 21504 21536 21840 22776 23296 23360 23555 24528 24960 26247 26572 26624 26880 26920 28032 28266 28470 29120 30368 30660 30720 32304 32704 33215 33280 34944 34996 35040 35840 37376 37688 37960 39858 39936 40380 40880 43008 43072 43680 43745 45552 46592 46720 47110 49056 49129 49920 52494 53144 53760 53840 56064 56532 56940 58240 60736 61243 61320 64608 65408 66430 66560 69888 69992 70080 70665 71680 74752 75376 75920 79716 79872 80760 81760 86144 87360 87490 91104 93184 93440 94220 98112 98258 99645 99840 104988 106288 107520 107680 112128 113064 113880 116480 121472 122486 122640 129216 130816 131235 132860 133120 139776 139984 140160 141330 147387 149504 150752 151840 159432 161520 163520 172288 174720 174980 182208 183729 186368 186880 188440 196224 196516 199290 199680 209976 212576 215040 215360 224256 226128 227760 232960 242944 244972 245280 245645 258432 261632 262470 265720 279552 279968 280320 282660 294774 301504 303680 306215 318864 323040 327040 343903 344576 349440 349960 364416 367458 373760 376880 392448 393032 398580 399360 419952 425152 430720 448512 452256 455520 465920 485888 489944 490560 491290 516864 523264 524940 531440 559104 559936 560640 565320 589548 603008 607360 612430 637728 638677 646080 654080 687806 689152 698880 699920 728832 734916 736935 747520 753760 784896 786064 797160 839904 850304 861440 904512 911040 918645 931840 971776 979888 981120 982580 1031709 1033728 1046528 1049880 1062880 1119872 1121280 1130640 1179096 1206016 1214720 1224860 1275456 1277354 1292160 1308160 1375612 1378304 1397760 1399840 1457664 1469832 1473870 1507520 1569792 1572128 1594320 1679808 1700608 1719515 1722880 1809024 1822080 1837290 1916031 1943552 1959776 1962240 1965160 2063418 2067456 2099760 2125760 2239744 2242560 2261280 2358192 2412032 2429440 2449720 2550912 2554708 2584320 2616320 2751224 2795520 2799680 2915328 2939664 2947740 3015040 3139584 3144256 3188640 3193385 3359616 3401216 3439030 3445760 3618048 3644160 3674580 3832062 3919552 3924480 3930320 4126836 4134912 4199520 4251520 4470739 4479488 4522560 4716384 4824064 4858880 4899440 5101824 5109416 5158545 5168640 5232640 5502448 5599360 5830656 5879328 5895480 6030080 6288512 6377280 6386770 6719232 6802432 6878060 6891520 7236096 7288320 7349160 7664124 7839104 7848960 7860640 8253672 8399040 8503040 8941478 8958976 9045120 9432768 9580155 9648128 9717760 9798880 10203648 10218832 10317090 10337280 11004896 11198720 11758656 11790960 12060160 12577024 12754560 12773540 13412217 13438464 13604864 13756120 14472192 14576640 14698320 15328248 15678208 15697920 15721280 16507344 16798080 17006080 17882956 17917952 18090240 18865536 19160310 19597760 20407296 20437664 20634180 20674560 22009792 22353695 22397440 23517312 23581920 24120320 25154048 25509120 25547080 26824434 26876928 27512240 28944384 29153280 29396640 30656496 31356416 31442560 33014688 33596160 34012160 35765912 36180480 37731072 38320620 39195520 40814592 40875328 41268360 44019584 44707390 44794880 47034624 47163840 48240640 50308096 51018240 51094160 53648868 53753856 55024480 58793280 61312992 62712832 62885120 66029376 67061085 67192320 68024320 71531824 72360960 75462144 76641240 78391040 81750656 82536720 88039168 89414780 89589760 94069248 94327680 100616192 102036480 102188320 107297736 110048960 117586560 122625984 125425664 125770240 132058752 134122170 134384640 143063648 144721920 150924288 153282480 156782080 163501312 165073440 176078336 178829560 188138496 188655360 204072960 204376640 214595472 220097920 235173120 245251968 251540480 264117504 268244340 268769280 286127296 301848576 306564960 313564160 327002624 330146880 352156672 357659120 376276992 377310720 408753280 429190944 440195840 470346240 490503936 503080960 528235008 536488680 572254592 613129920 627128320 654005248 660293760 704313344 715318240 754621440 817506560 858381888 880391680 940692480 981007872 1056470016 1072977360 1144509184 1226259840 1308010496 1320587520 1430636480 1509242880 1635013120 1716763776 1760783360 1881384960 1962015744 2112940032 2145954720 2289018368 2452519680 2641175040 2861272960 3270026240 3433527552 3521566720 3924031488 4291909440 4578036736 4905039360 5282350080 5722545920 6540052480 6867055104 8583818880 9156073472 9810078720 10564700160 11445091840 13734110208 17167637760 19620157440 22890183680 27468220416 34335275520 45780367360 68670551040 137341102080
- Sum of all divisors σ(n): 549003087360
- Sum of proper divisors (its aliquot sum) s(n): 411661985280
- 137341102080 is an abundant number, because the sum of its proper divisors (411661985280) is greater than itself. Its abundance is 274320883200
Bases of 137341102080
- Binary: 11111111110100010101011101000000000002
- Hexadecimal: 0x1FFA2AE800
- Base-36: 1R3DCGLC
Squares and roots of 137341102080
- 137341102080 squared (1373411020802) is 18862578320548980326400
- 137341102080 cubed (1373411020803) is 2590607294614512468648014118912000
-
The
square root of 137341102080 is 370595.6045071231 -
The
cube root of 137341102080 is 5159.4116028791
Scales and comparisons
How big is 137341102080?- 137,341,102,080 seconds is equal to 4,367 years, 1 week, 1 day, 2 hours, 8 minutes.
-
To count from 1 to 137,341,102,080 would take you about eight thousand, seven hundred thirty-four 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 137341102080 cubic inches would be around 430 feet tall.
Recreational maths with 137341102080
- 137341102080 backwards is 080201143731
- 137341102080 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137341102080's digits is 30
- More coming soon!
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