105400138800
105,400,138,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 105400138800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
105400138800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 105400138800:
24 × 3 × 52 × 11 × 37 × 67 × 3221
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 37 × 67 × 3221)See below for interesting mathematical facts about the number 105400138800 from the Numbermatics database.
Names of 105400138800
- Cardinal: 105400138800 can be written as One hundred five billion, four hundred million, one hundred thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.054001388 × 1011
Factors of 105400138800
Divisors of 105400138800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 37 40 44 48 50 55 60 66 67 74 75 80 88 100 110 111 120 132 134 148 150 165 176 185 200 201 220 222 240 264 268 275 296 300 330 335 370 400 402 407 440 444 528 536 550 555 592 600 660 670 737 740 804 814 825 880 888 925 1005 1072 1100 1110 1200 1221 1320 1340 1474 1480 1608 1628 1650 1675 1776 1850 2010 2035 2200 2211 2220 2442 2479 2640 2680 2775 2948 2960 3216 3221 3256 3300 3350 3685 3700 4020 4070 4400 4422 4440 4884 4958 5025 5360 5550 5896 6105 6442 6512 6600 6700 7370 7400 7437 8040 8140 8844 8880 9663 9768 9916 10050 10175 11055 11100 11792 12210 12395 12884 13200 13400 14740 14800 14874 16080 16105 16280 17688 18425 19326 19536 19832 20100 20350 22110 22200 24420 24790 25768 26800 27269 29480 29748 30525 32210 32560 35376 35431 36850 37185 38652 39664 40200 40700 44220 44400 48315 48840 49580 51536 54538 55275 58960 59496 61050 61975 64420 70862 73700 74370 77304 80400 80525 81400 81807 88440 96630 97680 99160 106293 109076 110550 118992 119177 122100 123950 128840 136345 141724 147400 148740 154608 161050 162800 163614 176880 177155 185925 193260 198320 212586 215807 218152 221100 238354 241575 244200 247900 257680 272690 283448 294800 297480 322100 327228 354310 357531 371850 386520 409035 425172 431614 436304 442200 476708 483150 488400 495800 531465 545380 566896 594960 595885 644200 647421 654456 681725 708620 715062 743700 773040 818070 850344 863228 884400 885775 953416 966300 991600 1062930 1079035 1090760 1191770 1288400 1294842 1308912 1310947 1363450 1417240 1430124 1487400 1636140 1700688 1726456 1771550 1787655 1906832 1932600 2045175 2125860 2158070 2181520 2373877 2383540 2589684 2621894 2657325 2726900 2834480 2860248 2974800 2979425 3237105 3272280 3452912 3543100 3575310 3865200 3932841 4090350 4251720 4316140 4747754 4767080 5179368 5243788 5314650 5395175 5453800 5720496 5958850 6474210 6544560 6554735 7086200 7121631 7150620 7865682 7984859 8180700 8503440 8632280 8938275 9495508 9534160 10358736 10487576 10629300 10790350 10907600 11869385 11917700 12948420 13109470 14172400 14243262 14301240 15731364 15969718 16185525 16361400 17264560 17876550 18991016 19664205 20975152 21258600 21580700 23738770 23835400 23954577 25896840 26218940 28486524 28602480 31462728 31939436 32371050 32722800 32773675 35608155 35753100 37982032 39328410 39924295 42517200 43161400 47477540 47670800 47909154 51793680 52437880 56973048 59346925 62925456 63878872 64742100 65547350 71216310 71506200 78656820 79848590 86322800 87833449 94955080 95818308 98321025 104875760 113946096 118693850 119772885 127757744 129484200 131094700 142432620 143012400 157313640 159697180 175666898 178040775 189910160 191636616 196642050 199621475 237387700 239545770 258968400 262189400 263500347 284865240 314627280 319394360 351333796 356081550 383273232 393284100 399242950 439167245 474775400 479091540 524378800 527000694 569730480 598864425 638788720 702667592 712163100 786568200 798485900 878334490 949550800 958183080 1054001388 1197728850 1317501735 1405335184 1424326200 1573136400 1596971800 1756668980 1916366160 2108002776 2195836225 2395457700 2635003470 2848652400 3193943600 3513337960 4216005552 4391672450 4790915400 5270006940 6587508675 7026675920 8783344900 9581830800 10540013880 13175017350 17566689800 21080027760 26350034700 35133379600 52700069400 105400138800
- Sum of all divisors σ(n): 384045490944
- Sum of proper divisors (its aliquot sum) s(n): 278645352144
- 105400138800 is an abundant number, because the sum of its proper divisors (278645352144) is greater than itself. Its abundance is 173245213344
Bases of 105400138800
- Binary: 11000100010100101011001111100001100002
- Hexadecimal: 0x188A567C30
- Base-36: 1CF4IRLC
Squares and roots of 105400138800
- 105400138800 squared (1054001388002) is 11109189259059265440000
- 105400138800 cubed (1054001388003) is 1170910089860315734802043072000000
-
The
square root of 105400138800 is 324653.8753811511 -
The
cube root of 105400138800 is 4723.6791851409
Scales and comparisons
How big is 105400138800?- 105,400,138,800 seconds is equal to 3,351 years, 20 weeks, 5 days, 20 minutes.
-
To count from 1 to 105,400,138,800 would take you about six thousand, seven hundred 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 105400138800 cubic inches would be around 393.6 feet tall.
Recreational maths with 105400138800
- 105400138800 backwards is 008831004501
- 105400138800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 105400138800's digits is 30
- More coming soon!
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