137970193920000
137,970,193,920,000 is an even composite number composed of six prime numbers multiplied together.
137970193920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred divisors.
Prime factorization of 137970193920000:
212 × 3 × 54 × 134 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 17 × 37)See below for interesting mathematical facts about the number 137970193920000 from the Numbermatics database.
Names of 137970193920000
- Cardinal: 137970193920000 can be written as One hundred thirty-seven trillion, nine hundred seventy billion, one hundred ninety-three million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3797019392 × 1014
Factors of 137970193920000
Divisors of 137970193920000
- Number of divisors d(n): 2600
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 37 39 40 48 50 51 52 60 64 65 68 74 75 78 80 85 96 100 102 104 111 120 125 128 130 136 148 150 156 160 169 170 185 192 195 200 204 208 221 222 240 250 255 256 260 272 296 300 312 320 325 338 340 370 375 384 390 400 408 416 425 442 444 480 481 500 507 510 512 520 544 555 592 600 624 625 629 640 650 663 676 680 740 750 768 780 800 816 832 845 850 884 888 925 960 962 975 1000 1014 1020 1024 1040 1088 1105 1110 1184 1200 1248 1250 1258 1275 1280 1300 1326 1352 1360 1443 1480 1500 1536 1560 1600 1625 1632 1664 1690 1700 1768 1776 1850 1875 1887 1920 1924 1950 2000 2028 2040 2048 2080 2125 2176 2197 2210 2220 2368 2400 2405 2496 2500 2516 2535 2550 2560 2600 2652 2704 2720 2775 2873 2886 2960 3000 3072 3120 3145 3200 3250 3264 3315 3328 3380 3400 3536 3552 3700 3750 3774 3840 3848 3900 4000 4056 4080 4096 4160 4225 4250 4352 4394 4420 4440 4625 4736 4800 4810 4875 4992 5000 5032 5070 5100 5120 5200 5304 5408 5440 5525 5550 5746 5772 5920 6000 6144 6240 6253 6290 6375 6400 6500 6528 6591 6630 6656 6760 6800 7072 7104 7215 7400 7500 7548 7680 7696 7800 8000 8112 8125 8160 8177 8320 8450 8500 8619 8704 8788 8840 8880 9250 9435 9472 9600 9620 9750 9984 10000 10064 10140 10200 10240 10400 10608 10625 10816 10880 10985 11050 11100 11492 11544 11840 12000 12025 12288 12480 12506 12580 12675 12750 12800 13000 13056 13182 13260 13312 13520 13600 13875 14144 14208 14365 14430 14800 15000 15096 15360 15392 15600 15725 16000 16224 16250 16320 16354 16575 16640 16900 17000 17238 17408 17576 17680 17760 18500 18759 18870 18944 19200 19240 19500 19968 20000 20128 20280 20400 20480 20800 21125 21216 21250 21632 21760 21970 22100 22200 22984 23088 23125 23680 24000 24050 24375 24531 24960 25012 25160 25350 25500 25600 26000 26112 26364 26520 26624 27040 27200 27625 27750 28288 28416 28561 28730 28860 29600 30000 30192 30720 30784 31200 31265 31450 31875 32000 32448 32500 32640 32708 32955 33150 33280 33800 34000 34476 34816 35152 35360 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215578428000 219348480000 220752310272 221106080000 229950323200 233057760000 248594944000 253621680000 265327296000 269473035000 270529792000 272130560000 275940387840 286840320000 287437904000 310743680000 312149760000 324635750400 331659120000 338162240000 344925484800 353769728000 359297380000 367920517120 372892416000 405794688000 408195840000 424523673600 431156856000 442212160000 459900646400 466115520000 507243360000 530654592000 538946070000 541059584000 551880775680 574875808000 621487360000 624299520000 663318240000 676324480000 689850969600 707539456000 718594760000 745784832000 811589376000 816391680000 862313712000 884424320000 919801292800 932231040000 1014486720000 1061309184000 1077892140000 1103761551360 1149751616000 1242974720000 1326636480000 1352648960000 1379701939200 1437189520000 1623178752000 1724627424000 1768848640000 1839602585600 1864462080000 2028973440000 2122618368000 2155784280000 2299503232000 2653272960000 2705297920000 2759403878400 2874379040000 3449254848000 3537697280000 3728924160000 4057946880000 4311568560000 4599006464000 5306545920000 5518807756800 5748758080000 6898509696000 8115893760000 8623137120000 9198012928000 10613091840000 11497516160000 13797019392000 17246274240000 22995032320000 27594038784000 34492548480000 45990064640000 68985096960000 137970193920000
- Sum of all divisors σ(n): 541549798604496
- Sum of proper divisors (its aliquot sum) s(n): 403579604684496
- 137970193920000 is an abundant number, because the sum of its proper divisors (403579604684496) is greater than itself. Its abundance is 265609410764496
Bases of 137970193920000
- Binary: 111110101111011101100000110010111110000000000002
- Hexadecimal: 0x7D7BB065F000
- Base-36: 1CWMMR6AYO
Squares and roots of 137970193920000
- 137970193920000 squared (1379701939200002) is 19035774410322404966400000000
- 137970193920000 cubed (1379701939200003) is 2626369486809555862934979084288000000000000
-
The
square root of 137970193920000 is 11746071.4249488539 -
The
cube root of 137970193920000 is 51672.7717879449
Scales and comparisons
How big is 137970193920000?- 137,970,193,920,000 seconds is equal to 4,387,025 years, 20 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 137,970,193,920,000 would take you about ten million, nine hundred sixty-seven thousand, five hundred sixty-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 137970193920000 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137970193920000
- 137970193920000 backwards is 000029391079731
- 137970193920000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137970193920000's digits is 51
- More coming soon!
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The information we have on file for 137970193920000 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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