137382558144
137,382,558,144 is an even composite number composed of seven prime numbers multiplied together.
137382558144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137382558144:
26 × 3 × 13 × 31 × 37 × 47 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 37 × 47 × 1021)See below for interesting mathematical facts about the number 137382558144 from the Numbermatics database.
Names of 137382558144
- Cardinal: 137382558144 can be written as One hundred thirty-seven billion, three hundred eighty-two million, five hundred fifty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37382558144 × 1011
Factors of 137382558144
Divisors of 137382558144
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 37 39 47 48 52 62 64 74 78 93 94 96 104 111 124 141 148 156 186 188 192 208 222 248 282 296 312 372 376 403 416 444 481 496 564 592 611 624 744 752 806 832 888 962 992 1021 1128 1147 1184 1209 1222 1248 1443 1457 1488 1504 1612 1739 1776 1833 1924 1984 2042 2256 2294 2368 2418 2444 2496 2886 2914 2976 3008 3063 3224 3441 3478 3552 3666 3848 4084 4371 4512 4588 4836 4888 5217 5772 5828 5952 6126 6448 6882 6956 7104 7332 7696 8168 8742 9024 9176 9672 9776 10434 11544 11656 12252 12896 13273 13764 13912 14664 14911 15392 16336 17484 18352 18941 19344 19552 20868 22607 23088 23312 24504 25792 26546 27528 27824 29328 29822 30784 31651 32672 34968 36704 37777 37882 38688 39104 39819 41736 44733 45214 46176 46624 47987 49008 53092 53909 55056 55648 56823 58656 59644 63302 65344 67821 69936 73408 75554 75764 77376 79638 83472 89466 90428 92352 93248 94953 95974 98016 106184 107818 110112 111296 113331 113646 117312 119288 126604 135642 139872 143961 151108 151528 159276 161727 166944 178932 180856 189906 191948 196032 212368 215636 220224 226662 227292 238576 253208 271284 279744 287922 302216 303056 318552 323454 333888 357864 361712 379812 383896 411463 424736 431272 453324 454584 477152 491101 506416 542568 575844 604432 606112 623831 637104 646908 700817 715728 723424 759624 767792 822926 849472 862544 906648 909168 954304 982202 1012832 1085136 1151688 1171087 1208864 1212224 1234389 1247662 1274208 1293816 1401634 1431456 1446848 1473303 1487597 1519248 1535584 1645852 1725088 1775519 1813296 1818336 1871493 1964404 2025664 2102451 2170272 2303376 2342174 2417728 2468778 2495324 2548416 2587632 2803268 2862912 2946606 2975194 3038496 3071168 3291704 3450176 3513261 3551038 3626592 3636672 3742986 3928808 4204902 4340544 4462791 4606752 4684348 4937556 4990648 5175264 5326557 5606536 5893212 5950388 6076992 6583408 7026522 7102076 7253184 7485972 7857616 8409804 8925582 9213504 9368696 9875112 9981296 10350528 10653114 11213072 11786424 11900776 13166816 14053044 14204152 14971944 15224131 15715232 16819608 17851164 18737392 19338761 19750224 19962592 21306228 22426144 23081747 23572848 23801552 26333632 28106088 28408304 29943888 30448262 31430464 33639216 35702328 37474784 38677522 39500448 39925184 42612456 44852288 45672393 46163494 47145696 47603104 55041089 56212176 56816608 58016283 59887776 60896524 67278432 69245241 71404656 74949568 77355044 79000896 85224912 91344786 92326988 94291392 95206208 110082178 112424352 113633216 116032566 119775552 121793048 134556864 138490482 142809312 154710088 165123267 170449824 182689572 184653976 220164356 224848704 232065132 243586096 276980964 285618624 309420176 330246534 340899648 365379144 369307952 440328712 464130264 487172192 553961928 618840352 660493068 715534157 730758288 738615904 880657424 928260528 974344384 1107923856 1237680704 1320986136 1431068314 1461516576 1477231808 1761314848 1856521056 2146602471 2215847712 2641972272 2862136628 2923033152 3522629696 3713042112 4293204942 4431695424 5283944544 5724273256 8586409884 10567889088 11448546512 17172819768 22897093024 34345639536 45794186048 68691279072 137382558144
- Sum of all divisors σ(n): 424245706752
- Sum of proper divisors (its aliquot sum) s(n): 286863148608
- 137382558144 is an abundant number, because the sum of its proper divisors (286863148608) is greater than itself. Its abundance is 149480590464
Bases of 137382558144
- Binary: 11111111111001010001101111001110000002
- Hexadecimal: 0x1FFCA379C0
- Base-36: 1R4210AO
Squares and roots of 137382558144
- 137382558144 squared (1373825581442) is 18873967282189540724736
- 137382558144 cubed (1373825581443) is 2592953907553358234244699419049984
-
The
square root of 137382558144 is 370651.5319596021 -
The
cube root of 137382558144 is 5159.9306691003
Scales and comparisons
How big is 137382558144?- 137,382,558,144 seconds is equal to 4,368 years, 17 weeks, 4 days, 21 hours, 42 minutes, 24 seconds.
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To count from 1 to 137,382,558,144 would take you about eight thousand, seven hundred thirty-six 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 137382558144 cubic inches would be around 430 feet tall.
Recreational maths with 137382558144
- 137382558144 backwards is 441855283731
- The number of decimal digits it has is: 12
- The sum of 137382558144's digits is 51
- More coming soon!
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