138234009600
138,234,009,600 is an even composite number composed of five prime numbers multiplied together.
138234009600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138234009600:
211 × 32 × 52 × 31 × 9677
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 9677)See below for interesting mathematical facts about the number 138234009600 from the Numbermatics database.
Names of 138234009600
- Cardinal: 138234009600 can be written as One hundred thirty-eight billion, two hundred thirty-four million, nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.382340096 × 1011
Factors of 138234009600
Divisors of 138234009600
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 288 300 310 320 360 372 384 400 450 465 480 496 512 558 576 600 620 640 720 744 768 775 800 900 930 960 992 1024 1116 1152 1200 1240 1280 1395 1440 1488 1536 1550 1600 1800 1860 1920 1984 2048 2232 2304 2325 2400 2480 2560 2790 2880 2976 3072 3100 3200 3600 3720 3840 3968 4464 4608 4650 4800 4960 5120 5580 5760 5952 6144 6200 6400 6975 7200 7440 7680 7936 8928 9216 9300 9600 9677 9920 10240 11160 11520 11904 12400 12800 13950 14400 14880 15360 15872 17856 18432 18600 19200 19354 19840 22320 23040 23808 24800 25600 27900 28800 29031 29760 30720 31744 35712 37200 38400 38708 39680 44640 46080 47616 48385 49600 51200 55800 57600 58062 59520 63488 71424 74400 76800 77416 79360 87093 89280 92160 95232 96770 99200 111600 115200 116124 119040 142848 145155 148800 153600 154832 158720 174186 178560 190464 193540 198400 223200 230400 232248 238080 241925 285696 290310 297600 299987 309664 317440 348372 357120 387080 396800 435465 446400 460800 464496 476160 483850 571392 580620 595200 599974 619328 696744 714240 725775 774160 793600 870930 892800 899961 928992 952320 967700 1161240 1190400 1199948 1238656 1393488 1428480 1451550 1499935 1548320 1587200 1741860 1785600 1799922 1857984 1935400 2177325 2322480 2380800 2399896 2477312 2699883 2786976 2856960 2903100 2999870 3096640 3483720 3571200 3599844 3715968 3870800 4354650 4499805 4644960 4761600 4799792 4954624 5399766 5573952 5806200 5999740 6193280 6967440 7142400 7199688 7431936 7499675 7741600 8709300 8999610 9289920 9599584 9909248 10799532 11147904 11612400 11999480 12386560 13499415 13934880 14284800 14399376 14863872 14999350 15483200 17418600 17999220 18579840 19199168 19818496 21599064 22295808 22499025 23224800 23998960 24773120 26998830 27869760 28798752 29727744 29998700 30966400 34837200 35998440 37159680 38398336 43198128 44591616 44998050 46449600 47997920 49546240 53997660 55739520 57597504 59455488 59997400 61932800 67497075 69674400 71996880 74319360 76796672 86396256 89183232 89996100 92899200 95995840 99092480 107995320 111479040 115195008 119994800 123865600 134994150 139348800 143993760 148638720 153593344 172792512 178366464 179992200 185798400 191991680 215990640 222958080 230390016 239989600 247731200 269988300 278697600 287987520 297277440 307186688 345585024 359984400 371596800 383983360 431981280 445916160 460780032 479979200 495462400 539976600 557395200 575975040 614373376 691170048 719968800 743193600 767966720 863962560 891832320 921560064 959958400 1079953200 1114790400 1151950080 1382340096 1439937600 1486387200 1535933440 1727925120 1843120128 1919916800 2159906400 2229580800 2303900160 2764680192 2879875200 3071866880 3455850240 3839833600 4319812800 4459161600 4607800320 5529360384 5759750400 6911700480 7679667200 8639625600 9215600640 11519500800 13823400960 15359334400 17279251200 23039001600 27646801920 34558502400 46078003200 69117004800 138234009600
- Sum of all divisors σ(n): 511086663360
- Sum of proper divisors (its aliquot sum) s(n): 372852653760
- 138234009600 is an abundant number, because the sum of its proper divisors (372852653760) is greater than itself. Its abundance is 234618644160
Bases of 138234009600
- Binary: 100000001011110110001110011000000000002
- Hexadecimal: 0x202F639800
- Base-36: 1RI4YKG0
Squares and roots of 138234009600
- 138234009600 squared (1382340096002) is 19108641410092892160000
- 138234009600 cubed (1382340096003) is 2641464120125738391737204736000000
-
The
square root of 138234009600 is 371798.3453432787 -
The
cube root of 138234009600 is 5170.5685679285
Scales and comparisons
How big is 138234009600?- 138,234,009,600 seconds is equal to 4,395 years, 21 weeks, 3 days, 16 hours.
-
To count from 1 to 138,234,009,600 would take you about eight thousand, seven hundred ninety 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 138234009600 cubic inches would be around 430.9 feet tall.
Recreational maths with 138234009600
- 138234009600 backwards is 006900432831
- 138234009600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138234009600's digits is 36
- More coming soon!
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