137868041600
137,868,041,600 is an even composite number composed of six prime numbers multiplied together.
137868041600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137868041600:
27 × 52 × 17 × 29 × 281 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 281 × 311)See below for interesting mathematical facts about the number 137868041600 from the Numbermatics database.
Names of 137868041600
- Cardinal: 137868041600 can be written as One hundred thirty-seven billion, eight hundred sixty-eight million, forty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.378680416 × 1011
Factors of 137868041600
Divisors of 137868041600
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 100 116 128 136 145 160 170 200 232 272 281 290 311 320 340 400 425 464 493 544 562 580 622 640 680 725 800 850 928 986 1088 1124 1160 1244 1360 1405 1450 1555 1600 1700 1856 1972 2176 2248 2320 2465 2488 2720 2810 2900 3110 3200 3400 3712 3944 4496 4640 4777 4930 4976 5287 5440 5620 5800 6220 6800 7025 7775 7888 8149 8992 9019 9280 9554 9860 9952 10574 10880 11240 11600 12325 12440 13600 14050 15550 15776 16298 17984 18038 18560 19108 19720 19904 21148 22480 23200 23885 24650 24880 26435 27200 28100 31100 31552 32596 35968 36076 38216 39440 39808 40745 42296 44960 45095 46400 47770 49300 49760 52870 54400 56200 62200 63104 65192 72152 76432 78880 81490 84592 87391 89920 90190 92800 95540 98600 99520 105740 112400 119425 124400 130384 132175 138533 144304 152864 153323 157760 162980 169184 174782 179840 180380 191080 197200 199040 203725 211480 224800 225475 238850 248800 260768 264350 277066 288608 305728 306646 315520 325960 338368 349564 360760 382160 394400 407450 422960 436955 449600 450950 477700 497600 521536 528700 554132 577216 611456 613292 651920 676736 692665 699128 721520 764320 766615 788800 814900 845920 873910 899200 901900 955400 995200 1043072 1057400 1108264 1154432 1226584 1303840 1385330 1398256 1443040 1485647 1528640 1533230 1577600 1629800 1691840 1747820 1803800 1910800 2114800 2184775 2216528 2453168 2534339 2607680 2770660 2796512 2886080 2971294 3057280 3066460 3259600 3383680 3463325 3495640 3607600 3821600 3833075 4229600 4369550 4433056 4906336 5068678 5215360 5541320 5593024 5772160 5942588 6132920 6519200 6926650 6991280 7215200 7428235 7643200 7666150 8459200 8739100 8866112 9812672 10137356 11082640 11186048 11885176 12265840 12671695 13038400 13853300 13982560 14430400 14856470 15286400 15332300 16918400 17478200 17732224 19625344 20274712 22165280 23770352 24531680 25343390 26076800 27706600 27965120 28860800 29712940 30664600 34956400 37141175 40549424 43083763 44330560 47540704 49063360 50686780 55413200 55930240 59425880 61329200 63358475 69912800 74282350 81098848 86167526 88661120 95081408 98126720 101373560 110826400 118851760 122658400 126716950 139825600 148564700 162197696 172335052 190162816 202747120 215418815 221652800 237703520 245316800 253433900 279651200 297129400 324395392 344670104 405494240 430837630 443305600 475407040 490633600 506867800 594258800 689340208 810988480 861675260 950814080 1013735600 1077094075 1188517600 1378680416 1621976960 1723350520 2027471200 2154188150 2377035200 2757360832 3446701040 4054942400 4308376300 4754070400 5514721664 6893402080 8109884800 8616752600 13786804160 17233505200 27573608320 34467010400 68934020800 137868041600
- Sum of all divisors σ(n): 375577300800
- Sum of proper divisors (its aliquot sum) s(n): 237709259200
- 137868041600 is an abundant number, because the sum of its proper divisors (237709259200) is greater than itself. Its abundance is 99841217600
Bases of 137868041600
- Binary: 100000000110011001001101011101100000002
- Hexadecimal: 0x2019935D80
- Base-36: 1RC32LQ8
Squares and roots of 137868041600
- 137868041600 squared (1378680416002) is 19007596894619330560000
- 137868041600 cubed (1378680416003) is 2620540159383408681810231296000000
-
The
square root of 137868041600 is 371305.8599052807 -
The
cube root of 137868041600 is 5166.0015900539
Scales and comparisons
How big is 137868041600?- 137,868,041,600 seconds is equal to 4,383 years, 40 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,868,041,600 would take you about eight thousand, seven hundred sixty-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 137868041600 cubic inches would be around 430.5 feet tall.
Recreational maths with 137868041600
- 137868041600 backwards is 006140868731
- The number of decimal digits it has is: 12
- The sum of 137868041600's digits is 44
- More coming soon!
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