136838774107728
136,838,774,107,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 136838774107728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
136838774107728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 136838774107728:
24 × 32 × 7 × 112 × 19 × 59048609
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 19 × 59048609)See below for interesting mathematical facts about the number 136838774107728 from the Numbermatics database.
Names of 136838774107728
- Cardinal: 136838774107728 can be written as One hundred thirty-six trillion, eight hundred thirty-eight billion, seven hundred seventy-four million, one hundred seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.36838774107728 × 1014
Factors of 136838774107728
Divisors of 136838774107728
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 33 36 38 42 44 48 56 57 63 66 72 76 77 84 88 99 112 114 121 126 132 133 144 152 154 168 171 176 198 209 228 231 242 252 264 266 304 308 336 342 363 396 399 418 456 462 484 504 528 532 616 627 684 693 726 792 798 836 847 912 924 968 1008 1064 1089 1197 1232 1254 1368 1386 1452 1463 1584 1596 1672 1694 1848 1881 1936 2128 2178 2299 2394 2508 2541 2736 2772 2904 2926 3192 3344 3388 3696 3762 4356 4389 4598 4788 5016 5082 5544 5808 5852 6384 6776 6897 7524 7623 8712 8778 9196 9576 10032 10164 11088 11704 13167 13552 13794 15048 15246 16093 17424 17556 18392 19152 20328 20691 23408 26334 27588 30096 30492 32186 35112 36784 40656 41382 48279 52668 55176 60984 64372 70224 82764 96558 105336 110352 121968 128744 144837 165528 193116 210672 257488 289674 331056 386232 579348 772464 1158696 2317392 59048609 118097218 177145827 236194436 354291654 413340263 472388872 531437481 649534699 708583308 826680526 944777744 1062874962 1121923571 1240020789 1299069398 1417166616 1653361052 1948604097 2125749924 2243847142 2480041578 2598138796 2834333232 3306722104 3365770713 3720062367 3897208194 4251499848 4487694284 4546742893 4960083156 5196277592 5845812291 6613444208 6731541426 7144881689 7440124734 7794416388 7853464997 8502999696 8975388568 9093485786 9920166312 10097312139 10392555184 11691624582 12341159281 13463082852 13640228679 14289763378 14880249468 15588832776 15706929994 17950777136 18186971572 19840332624 20194624278 21434645067 23383249164 23560394991 24682318562 26926165704 27280457358 28579526756 29760498936 31177665552 31413859988 36373943144 37023477843 40389248556 40920686037 42869290134 46766498328 47120789982 49364637124 50014171823 53852331408 54560914716 57159053512 59520997872 62827719976 64303935201 70681184973 72747886288 74046955686 80778497112 81841372074 85738580268 86388114967 93532996656 94241579964 98729274248 100028343646 109121829432 111070433529 114318107024 125655439952 128607870402 135752752091 141362369946 148093911372 150042515469 161556994224 163682744148 171477160536 172776229934 188483159928 197458548496 200056687292 218243658864 222140867058 257215740804 259164344901 271505504182 282724739892 296187822744 300085030938 327365488296 342954321072 345552459868 376966319856 400113374584 407258256273 444281734116 450127546407 514431481608 518328689802 543011008364 565449479784 592375645488 600170061876 654730976592 691104919736 777493034703 800226749168 814516512546 888563468232 900255092814 950269264637 1028862963216 1036657379604 1086022016728 1130898959568 1200340123752 1221774768819 1382209839472 1554986069406 1629033025092 1777126936464 1800510185628 1900538529274 2073314759208 2172044033456 2400680247504 2443549537638 2850807793911 3109972138812 3258066050184 3601020371256 3801077058548 4146629518416 4887099075276 5701615587822 6219944277624 6516132100368 7202040742512 7602154117096 8552423381733 9774198150552 11403231175644 12439888555248 15204308234192 17104846763466 19548396301104 22806462351288 34209693526932 45612924702576 68419387053864 136838774107728
- Sum of all divisors σ(n): 506391431582400
- Sum of proper divisors (its aliquot sum) s(n): 369552657474672
- 136838774107728 is an abundant number, because the sum of its proper divisors (369552657474672) is greater than itself. Its abundance is 232713883366944
Bases of 136838774107728
- Binary: 111110001110100010000101000010110101110010100002
- Hexadecimal: 0x7C744285AE50
- Base-36: 1CI6V514K0
Squares and roots of 136838774107728
- 136838774107728 squared (1368387741077282) is 18724850099305810902549321984
- 136838774107728 cubed (1368387741077283) is 2562285532939976066478699091731640974692352
-
The
square root of 136838774107728 is 11697810.6544655611 -
The
cube root of 136838774107728 is 51531.1369953639
Scales and comparisons
How big is 136838774107728?- 136,838,774,107,728 seconds is equal to 4,351,049 years, 38 weeks, 5 days, 17 hours, 28 minutes, 48 seconds.
-
To count from 1 to 136,838,774,107,728 would take you about ten million, eight hundred seventy-seven thousand, six hundred twenty-four 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 136838774107728 cubic inches would be around 4294.3 feet tall.
Recreational maths with 136838774107728
- 136838774107728 backwards is 827701477838631
- 136838774107728 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 136838774107728's digits is 72
- More coming soon!
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