13434746150731968
13,434,746,150,731,968 is an even composite number composed of six prime numbers multiplied together.
13434746150731968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13434746150731968:
26 × 32 × 31 × 433 × 4451 × 390391
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 433 × 4451 × 390391)See below for interesting mathematical facts about the number 13434746150731968 from the Numbermatics database.
Names of 13434746150731968
- Cardinal: 13434746150731968 can be written as Thirteen quadrillion, four hundred thirty-four trillion, seven hundred forty-six billion, one hundred fifty million, seven hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3434746150731968 × 1016
Factors of 13434746150731968
Divisors of 13434746150731968
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 433 496 558 576 744 866 992 1116 1299 1488 1732 1984 2232 2598 2976 3464 3897 4451 4464 5196 5952 6928 7794 8902 8928 10392 13353 13423 13856 15588 17804 17856 20784 26706 26846 27712 31176 35608 40059 40269 41568 53412 53692 62352 71216 80118 80538 83136 106824 107384 120807 124704 137981 142432 160236 161076 213648 214768 241614 249408 275962 284864 320472 322152 390391 413943 427296 429536 483228 551924 640944 644304 780782 827886 854592 859072 966456 1103848 1171173 1241829 1281888 1288608 1561564 1655772 1927283 1932912 2207696 2342346 2483658 2563776 2577216 3123128 3311544 3513519 3854566 3865824 4415392 4684692 4967316 5781849 6246256 6623088 7027038 7709132 7731648 8830784 9369384 9934632 11563698 12102121 12492512 13246176 14054076 15418264 17345547 18738768 19869264 23127396 24204242 24985024 26492352 28108152 30836528 34691094 36306363 37477536 39738528 46254792 48408484 56216304 59745773 61673056 69382188 72612726 74955072 79477056 92509584 96816968 108919089 112432608 119491546 123346112 138764376 145225452 169039303 179237319 185019168 193633936 217838178 224865216 238983092 277528752 290450904 338078606 358474638 370038336 387267872 435676356 477966184 507117909 537711957 555057504 580901808 676157212 716949276 774535744 871352712 955932368 1014235818 1075423914 1110115008 1161803616 1352314424 1433898552 1521353727 1737630341 1742705424 1911864736 2028471636 2150847828 2323607232 2704628848 2867797104 3042707454 3475260682 3485410848 3823729472 4056943272 4301695656 5212891023 5240218393 5409257696 5735594208 6085414908 6950521364 6970821696 8113886544 8603391312 10425782046 10480436786 10818515392 11471188416 12170829816 13901042728 15638673069 15720655179 16227773088 17206782624 20851564092 20960873572 24341659632 27802085456 31277346138 31441310358 32455546176 34413565248 41703128184 41921747144 47161965537 48683319264 53866540571 55604170912 62554692276 62882620716 83406256368 83843494288 94323931074 97366638528 107733081142 111208341824 125109384552 125765241432 161599621713 166812512736 167686988576 188647862148 215466162284 250218769104 251530482864 323199243426 333625025472 335373977152 377295724296 430932324568 484798865139 500437538208 503060965728 646398486852 752393937653 754591448592 861864649136 969597730278 1000875076416 1006121931456 1292796973704 1504787875306 1509182897184 1723729298272 1939195460556 2257181812959 2585593947408 3009575750612 3018365794368 3447458596544 3878390921112 4514363625918 5171187894816 6019151501224 6771545438877 7756781842224 9028727251836 10342375789632 12038303002448 13543090877754 15513563684448 18057454503672 23324212067243 24076606004896 27086181755508 31027127368896 36114909007344 46648424134486 48153212009792 54172363511016 69972636201729 72229818014688 93296848268972 108344727022032 139945272403458 144459636029376 186593696537944 209917908605187 216689454044064 279890544806916 373187393075888 419835817210374 433378908088128 559781089613832 746374786151776 839671634420748 1119562179227664 1492749572303552 1679343268841496 2239124358455328 3358686537682992 4478248716910656 6717373075365984 13434746150731968
- Sum of all divisors σ(n): 39851332390152192
- Sum of proper divisors (its aliquot sum) s(n): 26416586239420224
- 13434746150731968 is an abundant number, because the sum of its proper divisors (26416586239420224) is greater than itself. Its abundance is 12981840088688256
Bases of 13434746150731968
- Binary: 1011111011101011010100100101111111011001000000110000002
- Hexadecimal: 0x2FBAD497F640C0
- Base-36: 3OA7X6FA280
Squares and roots of 13434746150731968
- 13434746150731968 squared (134347461507319682) is 180492404134607431040382177153024
- 13434746150731968 cubed (134347461507319683) is 2424869631683775930000765281118973606303944671232
-
The
square root of 13434746150731968 is 115908352.3769187567 -
The
cube root of 13434746150731968 is 237725.8934477543
Scales and comparisons
How big is 13434746150731968?- 13,434,746,150,731,968 seconds is equal to 427,183,371 years, 10 weeks, 22 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,434,746,150,731,968 would take you about one billion, two hundred eighty-one million, five hundred fifty thousand, one hundred thirteen 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 13434746150731968 cubic inches would be around 19810.5 feet tall.
Recreational maths with 13434746150731968
- 13434746150731968 backwards is 86913705164743431
- 13434746150731968 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13434746150731968's digits is 72
- More coming soon!
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