138689536000
138,689,536,000 is an even composite number composed of five prime numbers multiplied together.
138689536000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138689536000:
213 × 53 × 17 × 31 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 31 × 257)See below for interesting mathematical facts about the number 138689536000 from the Numbermatics database.
Names of 138689536000
- Cardinal: 138689536000 can be written as One hundred thirty-eight billion, six hundred eighty-nine million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38689536 × 1011
Factors of 138689536000
Divisors of 138689536000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 85 100 124 125 128 136 155 160 170 200 248 250 256 257 272 310 320 340 400 425 496 500 512 514 527 544 620 640 680 775 800 850 992 1000 1024 1028 1054 1088 1240 1280 1285 1360 1550 1600 1700 1984 2000 2048 2056 2108 2125 2176 2480 2560 2570 2635 2720 3100 3200 3400 3875 3968 4000 4096 4112 4216 4250 4352 4369 4960 5120 5140 5270 5440 6200 6400 6425 6800 7750 7936 7967 8000 8192 8224 8432 8500 8704 8738 9920 10240 10280 10540 10880 12400 12800 12850 13175 13600 15500 15872 15934 16000 16448 16864 17000 17408 17476 19840 20480 20560 21080 21760 21845 24800 25600 25700 26350 27200 31000 31744 31868 32000 32125 32896 33728 34000 34816 34952 39680 39835 40960 41120 42160 43520 43690 49600 51200 51400 52700 54400 62000 63488 63736 64000 64250 65792 65875 67456 68000 69632 69904 79360 79670 82240 84320 87040 87380 99200 102400 102800 105400 108800 109225 124000 126976 127472 128000 128500 131584 131750 134912 135439 136000 139264 139808 158720 159340 164480 168640 174080 174760 198400 199175 204800 205600 210800 217600 218450 248000 253952 254944 256000 257000 263168 263500 269824 270878 272000 279616 317440 318680 328960 337280 348160 349520 396800 398350 411200 421600 435200 436900 496000 509888 512000 514000 526336 527000 539648 541756 544000 546125 559232 634880 637360 657920 674560 677195 696320 699040 793600 796700 822400 843200 870400 873800 992000 995875 1019776 1024000 1028000 1052672 1054000 1079296 1083512 1088000 1092250 1118464 1269760 1274720 1315840 1349120 1354390 1398080 1587200 1593400 1644800 1686400 1740800 1747600 1984000 1991750 2039552 2056000 2105344 2108000 2158592 2167024 2176000 2184500 2236928 2549440 2631680 2698240 2708780 2796160 3174400 3186800 3289600 3372800 3385975 3481600 3495200 3968000 3983500 4079104 4112000 4216000 4317184 4334048 4352000 4369000 4473856 5098880 5263360 5396480 5417560 5592320 6348800 6373600 6579200 6745600 6771950 6990400 7936000 7967000 8158208 8224000 8432000 8668096 8704000 8738000 8947712 10197760 10526720 10792960 10835120 11184640 12747200 13158400 13491200 13543900 13980800 15872000 15934000 16316416 16448000 16864000 16929875 17336192 17408000 17476000 17895424 20395520 21585920 21670240 22369280 25494400 26316800 26982400 27087800 27961600 31744000 31868000 32632832 32896000 33728000 33859750 34672384 34952000 35790848 40791040 43340480 44738560 50988800 52633600 53964800 54175600 55923200 63736000 65265664 65792000 67456000 67719500 69344768 69904000 81582080 86680960 89477120 101977600 107929600 108351200 111846400 127472000 131584000 134912000 135439000 138689536 139808000 163164160 173361920 178954240 203955200 216702400 223692800 254944000 263168000 269824000 270878000 277379072 279616000 326328320 346723840 407910400 433404800 447385600 509888000 539648000 541756000 554758144 559232000 693447680 815820800 866809600 894771200 1019776000 1083512000 1109516288 1118464000 1386895360 1631641600 1733619200 2039552000 2167024000 2236928000 2773790720 3467238400 4079104000 4334048000 4473856000 5547581440 6934476800 8158208000 8668096000 13868953600 17336192000 27737907200 34672384000 69344768000 138689536000
- Sum of all divisors σ(n): 379804598784
- Sum of proper divisors (its aliquot sum) s(n): 241115062784
- 138689536000 is an abundant number, because the sum of its proper divisors (241115062784) is greater than itself. Its abundance is 102425526784
Bases of 138689536000
- Binary: 100000010010101000101001100000000000002
- Hexadecimal: 0x204A8A6000
- Base-36: 1RPO62V4
Squares and roots of 138689536000
- 138689536000 squared (1386895360002) is 19234787395895296000000
- 138689536000 cubed (1386895360003) is 2667663738995366906822656000000000
-
The
square root of 138689536000 is 372410.4402403349 -
The
cube root of 138689536000 is 5176.2419137355
Scales and comparisons
How big is 138689536000?- 138,689,536,000 seconds is equal to 4,409 years, 46 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,689,536,000 would take you about eight thousand, eight hundred nineteen 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 138689536000 cubic inches would be around 431.4 feet tall.
Recreational maths with 138689536000
- 138689536000 backwards is 000635986831
- The number of decimal digits it has is: 12
- The sum of 138689536000's digits is 49
- More coming soon!
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