138007142400
138,007,142,400 is an even composite number composed of six prime numbers multiplied together.
138007142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138007142400:
213 × 3 × 52 × 17 × 73 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 73 × 181)See below for interesting mathematical facts about the number 138007142400 from the Numbermatics database.
Names of 138007142400
- Cardinal: 138007142400 can be written as One hundred thirty-eight billion, seven million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.380071424 × 1011
Factors of 138007142400
Divisors of 138007142400
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 73 75 80 85 96 100 102 120 128 136 146 150 160 170 181 192 200 204 219 240 255 256 272 292 300 320 340 362 365 384 400 408 425 438 480 510 512 543 544 584 600 640 680 724 730 768 800 816 850 876 905 960 1020 1024 1086 1088 1095 1168 1200 1241 1275 1280 1360 1448 1460 1536 1600 1632 1700 1752 1810 1825 1920 2040 2048 2172 2176 2190 2336 2400 2482 2550 2560 2715 2720 2896 2920 3072 3077 3200 3264 3400 3504 3620 3650 3723 3840 4080 4096 4344 4352 4380 4525 4672 4800 4964 5100 5120 5430 5440 5475 5792 5840 6144 6154 6205 6400 6528 6800 7008 7240 7300 7446 7680 8160 8192 8688 8704 8760 9050 9231 9344 9600 9928 10200 10240 10860 10880 10950 11584 11680 12288 12308 12410 12800 13056 13213 13575 13600 14016 14480 14600 14892 15360 15385 16320 17376 17408 17520 18100 18462 18615 18688 19200 19856 20400 20480 21720 21760 21900 23168 23360 24576 24616 24820 25600 26112 26426 27150 27200 28032 28960 29200 29784 30720 30770 31025 32640 34752 34816 35040 36200 36924 37230 37376 38400 39639 39712 40800 40960 43440 43520 43800 46155 46336 46720 49232 49640 51200 52224 52852 54300 54400 56064 57920 58400 59568 61440 61540 62050 65280 66065 69504 69632 70080 72400 73848 74460 74752 76800 76925 79278 79424 81600 86880 87040 87600 92310 92672 93075 93440 98464 99280 102400 104448 105704 108600 108800 112128 115840 116800 119136 122880 123080 124100 130560 132130 139008 139264 140160 144800 147696 148920 149504 153600 153850 158556 158848 163200 173760 174080 175200 184620 185344 186150 186880 196928 198195 198560 204800 208896 211408 217200 217600 224256 224621 230775 231680 233600 238272 246160 248200 261120 264260 278016 280320 289600 295392 297840 299008 307200 307700 317112 317696 326400 330325 347520 348160 350400 369240 370688 372300 373760 393856 396390 397120 417792 422816 434400 435200 448512 449242 461550 463360 467200 476544 492320 496400 522240 528520 556032 560640 579200 590784 595680 598016 614400 615400 634224 635392 652800 660650 673863 695040 696320 700800 738480 741376 744600 747520 787712 792780 794240 845632 868800 870400 897024 898484 923100 926720 934400 953088 984640 990975 992800 1044480 1057040 1112064 1121280 1123105 1158400 1181568 1191360 1230800 1268448 1270784 1305600 1321300 1347726 1390080 1401600 1476960 1482752 1489200 1495040 1575424 1585560 1588480 1691264 1737600 1740800 1794048 1796968 1846200 1853440 1868800 1906176 1969280 1981950 1985600 2088960 2114080 2224128 2242560 2246210 2316800 2363136 2382720 2461600 2536896 2541568 2611200 2642600 2695452 2780160 2803200 2953920 2978400 2990080 3150848 3171120 3176960 3369315 3382528 3475200 3481600 3593936 3692400 3706880 3737600 3812352 3938560 3963900 3971200 4228160 4448256 4485120 4492420 4633600 4726272 4765440 4923200 5073792 5083136 5222400 5285200 5390904 5560320 5606400 5615525 5907840 5956800 6301696 6342240 6353920 6738630 6765056 6950400 7187872 7384800 7413760 7475200 7624704 7877120 7927800 7942400 8456320 8970240 8984840 9267200 9452544 9530880 9846400 10147584 10166272 10444800 10570400 10781808 11120640 11212800 11231050 11815680 11913600 12603392 12684480 12707840 13477260 13530112 13900800 14375744 14769600 14950400 15249408 15754240 15855600 15884800 16846575 16912640 17969680 18534400 18905088 19061760 19692800 20295168 21140800 21563616 22241280 22425600 22462100 23631360 23827200 25206784 25368960 25415680 26954520 27060224 27801600 28751488 29539200 30498816 31508480 31711200 31769600 33693150 33825280 35939360 37068800 37810176 38123520 39385600 40590336 42281600 43127232 44851200 44924200 47262720 47654400 50737920 50831360 53909040 54120448 55603200 57502976 59078400 63016960 63422400 63539200 67386300 67650560 71878720 75620352 76247040 78771200 81180672 84563200 86254464 89848400 94525440 95308800 101475840 107818080 108240896 111206400 115005952 118156800 126033920 126844800 127078400 134772600 135301120 143757440 152494080 157542400 162361344 169126400 172508928 179696800 189050880 190617600 202951680 215636160 230011904 236313600 253689600 254156800 269545200 270602240 287514880 315084800 324722688 338252800 345017856 359393600 378101760 381235200 405903360 431272320 460023808 472627200 507379200 539090400 541204480 575029760 630169600 676505600 690035712 718787200 762470400 811806720 862544640 920047616 945254400 1014758400 1078180800 1150059520 1353011200 1380071424 1437574400 1623613440 1725089280 1840095232 1890508800 2029516800 2156361600 2300119040 2706022400 2760142848 2875148800 3450178560 4059033600 4312723200 4600238080 5520285696 5750297600 6900357120 8118067200 8625446400 9200476160 11500595200 13800714240 17250892800 23001190400 27601428480 34501785600 46002380800 69003571200 138007142400
- Sum of all divisors σ(n): 492482416608
- Sum of proper divisors (its aliquot sum) s(n): 354475274208
- 138007142400 is an abundant number, because the sum of its proper divisors (354475274208) is greater than itself. Its abundance is 216468131808
Bases of 138007142400
- Binary: 100000001000011101110111100000000000002
- Hexadecimal: 0x2021DDE000
- Base-36: 1REDW0LC
Squares and roots of 138007142400
- 138007142400 squared (1380071424002) is 19045971353413877760000
- 138007142400 cubed (1380071424003) is 2628480080716909754160513024000000
-
The
square root of 138007142400 is 371493.1256429923 -
The
cube root of 138007142400 is 5167.7384040093
Scales and comparisons
How big is 138007142400?- 138,007,142,400 seconds is equal to 4,388 years, 10 weeks, 2 days, 21 hours, 20 minutes.
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To count from 1 to 138,007,142,400 would take you about eight thousand, seven hundred seventy-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 138007142400 cubic inches would be around 430.6 feet tall.
Recreational maths with 138007142400
- 138007142400 backwards is 004241700831
- 138007142400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138007142400's digits is 30
- More coming soon!
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The information we have on file for 138007142400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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