138225678336
138,225,678,336 is an even composite number composed of three prime numbers multiplied together.
138225678336 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 138225678336:
211 × 312 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 127)See below for interesting mathematical facts about the number 138225678336 from the Numbermatics database.
Names of 138225678336
- Cardinal: 138225678336 can be written as One hundred thirty-eight billion, two hundred twenty-five million, six hundred seventy-eight thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.38225678336 × 1011
Factors of 138225678336
Divisors of 138225678336
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 243 254 256 288 324 381 384 432 486 508 512 576 648 729 762 768 864 972 1016 1024 1143 1152 1296 1458 1524 1536 1728 1944 2032 2048 2187 2286 2304 2592 2916 3048 3072 3429 3456 3888 4064 4374 4572 4608 5184 5832 6096 6144 6561 6858 6912 7776 8128 8748 9144 9216 10287 10368 11664 12192 13122 13716 13824 15552 16256 17496 18288 18432 19683 20574 20736 23328 24384 26244 27432 27648 30861 31104 32512 34992 36576 39366 41148 41472 46656 48768 52488 54864 55296 59049 61722 62208 65024 69984 73152 78732 82296 82944 92583 93312 97536 104976 109728 118098 123444 124416 130048 139968 146304 157464 164592 165888 177147 185166 186624 195072 209952 219456 236196 246888 248832 260096 277749 279936 292608 314928 329184 354294 370332 373248 390144 419904 438912 472392 493776 497664 531441 555498 559872 585216 629856 658368 708588 740664 746496 780288 833247 839808 877824 944784 987552 1062882 1110996 1119744 1170432 1259712 1316736 1417176 1481328 1492992 1666494 1679616 1755648 1889568 1975104 2125764 2221992 2239488 2340864 2499741 2519424 2633472 2834352 2962656 3332988 3359232 3511296 3779136 3950208 4251528 4443984 4478976 4999482 5038848 5266944 5668704 5925312 6665976 6718464 7022592 7499223 7558272 7900416 8503056 8887968 9998964 10077696 10533888 11337408 11850624 13331952 13436928 14998446 15116544 15800832 17006112 17775936 19997928 20155392 21067776 22497669 22674816 23701248 26663904 29996892 30233088 31601664 34012224 35551872 39995856 40310784 44995338 45349632 47402496 53327808 59993784 60466176 63203328 67493007 68024448 71103744 79991712 89990676 90699264 94804992 106655616 119987568 120932352 134986014 136048896 142207488 159983424 179981352 181398528 189609984 213311232 239975136 269972028 272097792 284414976 319966848 359962704 362797056 426622464 479950272 539944056 544195584 568829952 639933696 719925408 853244928 959900544 1079888112 1088391168 1279867392 1439850816 1706489856 1919801088 2159776224 2559734784 2879701632 3839602176 4319552448 5119469568 5759403264 7679204352 8639104896 11518806528 15358408704 17278209792 23037613056 34556419584 46075226112 69112839168 138225678336
- Sum of all divisors σ(n): 417839909760
- Sum of proper divisors (its aliquot sum) s(n): 279614231424
- 138225678336 is an abundant number, because the sum of its proper divisors (279614231424) is greater than itself. Its abundance is 141388553088
Bases of 138225678336
- Binary: 100000001011101110010001111000000000002
- Hexadecimal: 0x202EE47800
- Base-36: 1RI00000
Squares and roots of 138225678336
- 138225678336 squared (1382256783362) is 19106338151447339728896
- 138225678336 cubed (1382256783363) is 2640986551500804834209291940397056
-
The
square root of 138225678336 is 371787.1411654793 -
The
cube root of 138225678336 is 5170.4646903629
Scales and comparisons
How big is 138225678336?- 138,225,678,336 seconds is equal to 4,395 years, 7 weeks, 5 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,225,678,336 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 138225678336 cubic inches would be around 430.9 feet tall.
Recreational maths with 138225678336
- 138225678336 backwards is 633876522831
- 138225678336 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138225678336's digits is 54
- More coming soon!
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