138329736000
138,329,736,000 is an even composite number composed of six prime numbers multiplied together.
138329736000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138329736000:
26 × 3 × 53 × 41 × 257 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 257 × 547)See below for interesting mathematical facts about the number 138329736000 from the Numbermatics database.
Names of 138329736000
- Cardinal: 138329736000 can be written as One hundred thirty-eight billion, three hundred twenty-nine million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38329736 × 1011
Factors of 138329736000
Divisors of 138329736000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 125 150 160 164 192 200 205 240 246 250 257 300 320 328 375 400 410 480 492 500 514 547 600 615 656 750 771 800 820 960 984 1000 1025 1028 1094 1200 1230 1285 1312 1500 1542 1600 1640 1641 1968 2000 2050 2056 2188 2400 2460 2570 2624 2735 3000 3075 3084 3280 3282 3855 3936 4000 4100 4112 4376 4800 4920 5125 5140 5470 6000 6150 6168 6425 6560 6564 7710 7872 8000 8200 8205 8224 8752 9840 10250 10280 10537 10940 12000 12300 12336 12850 13120 13128 13675 15375 15420 16400 16410 16448 17504 19275 19680 20500 20560 21074 21880 22427 24000 24600 24672 25700 26256 27350 30750 30840 31611 32125 32800 32820 35008 38550 39360 41000 41025 41120 42148 43760 44854 49200 49344 51400 52512 52685 54700 61500 61680 63222 64250 65600 65640 67281 68375 77100 82000 82050 82240 84296 87520 89708 96375 98400 102800 105024 105370 109400 112135 123000 123360 126444 128500 131280 134562 136750 140579 154200 158055 164000 164100 168592 175040 179416 192750 196800 205125 205600 210740 218800 224270 246000 246720 252888 257000 262560 263425 269124 273500 281158 308400 316110 328000 328200 336405 337184 358832 385500 410250 411200 421480 421737 437600 448540 492000 505776 514000 525120 526850 538248 547000 560675 562316 616800 632220 656400 672810 674368 702895 717664 771000 790275 820500 842960 843474 875200 897080 984000 1011552 1028000 1053700 1076496 1094000 1121350 1124632 1233600 1264440 1312800 1317125 1345620 1405790 1435328 1542000 1580550 1641000 1682025 1685920 1686948 1794160 2023104 2056000 2107400 2108685 2152992 2188000 2242700 2249264 2528880 2625600 2634250 2691240 2803375 2811580 3084000 3161100 3282000 3364050 3371840 3373896 3514475 3588320 3951375 4214800 4217370 4305984 4376000 4485400 4498528 5057760 5268500 5382480 5606750 5623160 5763739 6168000 6322200 6564000 6728100 6747792 7028950 7176640 7902750 8410125 8429600 8434740 8970800 8997056 10115520 10537000 10543425 10764960 11213500 11246320 11527478 12644400 13128000 13456200 13495584 14057900 15805500 16820250 16859200 16869480 17291217 17572375 17941600 21074000 21086850 21529920 22427000 22492640 23054956 25288800 26912400 26991168 28115800 28818695 31611000 33640500 33738960 34582434 35144750 35883200 42148000 42173700 44854000 44985280 46109912 50577600 52717125 53824800 56231600 57637390 63222000 67281000 67477920 69164868 70289500 84296000 84347400 86456085 89708000 92219824 105434250 107649600 112463200 115274780 126444000 134562000 134955840 138329736 140579000 144093475 168694800 172912170 179416000 184439648 210868500 224926400 230549560 252888000 269124000 276659472 281158000 288186950 337389600 345824340 368879296 421737000 432280425 461099120 538248000 553318944 562316000 576373900 674779200 691648680 720467375 843474000 864560850 922198240 1106637888 1124632000 1152747800 1383297360 1440934750 1686948000 1729121700 1844396480 2161402125 2305495600 2766594720 2881869500 3373896000 3458243400 4322804250 4610991200 5533189440 5763739000 6916486800 8645608500 9221982400 11527478000 13832973600 17291217000 23054956000 27665947200 34582434000 46109912000 69164868000 138329736000
- Sum of all divisors σ(n): 470584767744
- Sum of proper divisors (its aliquot sum) s(n): 332255031744
- 138329736000 is an abundant number, because the sum of its proper divisors (332255031744) is greater than itself. Its abundance is 193925295744
Bases of 138329736000
- Binary: 100000001101010001100001000011010000002
- Hexadecimal: 0x2035184340
- Base-36: 1RJPYBEO
Squares and roots of 138329736000
- 138329736000 squared (1383297360002) is 19135115861829696000000
- 138329736000 cubed (1383297360003) is 2646955525496314324640256000000000
-
The
square root of 138329736000 is 371927.0573647473 -
The
cube root of 138329736000 is 5171.7618239823
Scales and comparisons
How big is 138329736000?- 138,329,736,000 seconds is equal to 4,398 years, 23 weeks, 5 days, 14 hours, 40 minutes.
-
To count from 1 to 138,329,736,000 would take you about eight thousand, seven hundred ninety-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 138329736000 cubic inches would be around 431 feet tall.
Recreational maths with 138329736000
- 138329736000 backwards is 000637923831
- The number of decimal digits it has is: 12
- The sum of 138329736000's digits is 42
- More coming soon!
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