138253312000
138,253,312,000 is an even composite number composed of five prime numbers multiplied together.
138253312000 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 138253312000:
213 × 53 × 37 × 41 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 41 × 89)See below for interesting mathematical facts about the number 138253312000 from the Numbermatics database.
Names of 138253312000
- Cardinal: 138253312000 can be written as One hundred thirty-eight billion, two hundred fifty-three million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38253312 × 1011
Factors of 138253312000
Divisors of 138253312000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 41 50 64 74 80 82 89 100 125 128 148 160 164 178 185 200 205 250 256 296 320 328 356 370 400 410 445 500 512 592 640 656 712 740 800 820 890 925 1000 1024 1025 1184 1280 1312 1424 1480 1517 1600 1640 1780 1850 2000 2048 2050 2225 2368 2560 2624 2848 2960 3034 3200 3280 3293 3560 3649 3700 4000 4096 4100 4450 4625 4736 5120 5125 5248 5696 5920 6068 6400 6560 6586 7120 7298 7400 7585 8000 8192 8200 8900 9250 9472 10240 10250 10496 11125 11392 11840 12136 12800 13120 13172 14240 14596 14800 15170 16000 16400 16465 17800 18245 18500 18944 20480 20500 20992 22250 22784 23680 24272 25600 26240 26344 28480 29192 29600 30340 32000 32800 32930 35600 36490 37000 37888 37925 40960 41000 41984 44500 45568 47360 48544 51200 52480 52688 56960 58384 59200 60680 64000 65600 65860 71200 72980 74000 75776 75850 82000 82325 83968 89000 91136 91225 94720 97088 102400 104960 105376 113920 116768 118400 121360 128000 131200 131720 135013 142400 145960 148000 151552 151700 164000 164650 167936 178000 182272 182450 189440 189625 194176 204800 209920 210752 227840 233536 236800 242720 256000 262400 263440 270026 284800 291920 296000 303104 303400 328000 329300 335872 356000 364544 364900 378880 379250 388352 411625 419840 421504 455680 456125 467072 473600 485440 512000 524800 526880 540052 569600 583840 592000 606800 656000 658600 675065 712000 729088 729800 757760 758500 776704 823250 839680 843008 911360 912250 934144 947200 970880 1024000 1049600 1053760 1080104 1139200 1167680 1184000 1213600 1312000 1317200 1350130 1424000 1459600 1515520 1517000 1553408 1646500 1679360 1686016 1822720 1824500 1868288 1894400 1941760 2099200 2107520 2160208 2278400 2335360 2368000 2427200 2624000 2634400 2700260 2848000 2919200 3034000 3106816 3293000 3372032 3375325 3645440 3649000 3736576 3788800 3883520 4198400 4215040 4320416 4556800 4670720 4736000 4854400 5248000 5268800 5400520 5696000 5838400 6068000 6213632 6586000 6744064 6750650 7298000 7473152 7577600 7767040 8396800 8430080 8640832 9113600 9341440 9472000 9708800 10496000 10537600 10801040 11392000 11676800 12136000 12427264 13172000 13488128 13501300 14596000 14946304 15534080 16860160 16876625 17281664 18227200 18682880 18944000 19417600 20992000 21075200 21602080 22784000 23353600 24272000 26344000 26976256 27002600 29192000 29892608 31068160 33720320 33753250 34563328 37365760 37888000 38835200 41984000 42150400 43204160 45568000 46707200 48544000 52688000 54005200 58384000 62136320 67440640 67506500 69126656 74731520 77670400 84300800 86408320 91136000 93414400 97088000 105376000 108010400 116768000 134881280 135013000 138253312 149463040 155340800 168601600 172816640 186828800 194176000 210752000 216020800 233536000 270026000 276506624 310681600 337203200 345633280 373657600 388352000 421504000 432041600 467072000 540052000 553013248 674406400 691266560 747315200 776704000 843008000 864083200 934144000 1080104000 1106026496 1382533120 1553408000 1686016000 1728166400 1868288000 2160208000 2765066240 3372032000 3456332800 3736576000 4320416000 5530132480 6912665600 8640832000 13825331200 17281664000 27650662400 34563328000 69126656000 138253312000
- Sum of all divisors σ(n): 367107642720
- Sum of proper divisors (its aliquot sum) s(n): 228854330720
- 138253312000 is an abundant number, because the sum of its proper divisors (228854330720) is greater than itself. Its abundance is 90601018720
Bases of 138253312000
- Binary: 100000001100001000101000100000000000002
- Hexadecimal: 0x20308A2000
- Base-36: 1RIGGA9S
Squares and roots of 138253312000
- 138253312000 squared (1382533120002) is 19113978278969344000000
- 138253312000 cubed (1382533120003) is 2642570802563571754467328000000000
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The
square root of 138253312000 is 371824.3025946529 -
The
cube root of 138253312000 is 5170.8092220143
Scales and comparisons
How big is 138253312000?- 138,253,312,000 seconds is equal to 4,396 years, 1 week, 3 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 138,253,312,000 would take you about eight thousand, seven hundred ninety-two 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 138253312000 cubic inches would be around 430.9 feet tall.
Recreational maths with 138253312000
- 138253312000 backwards is 000213352831
- The number of decimal digits it has is: 12
- The sum of 138253312000's digits is 28
- More coming soon!
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