345008047104
345,008,047,104 is an even composite number composed of six prime numbers multiplied together.
What does the number 345008047104 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 528 divisors.
345008047104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 345008047104:
210 × 32 × 7 × 107 × 151 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 107 × 151 × 331)See below for interesting mathematical facts about the number 345008047104 from the Numbermatics database.
Names of 345008047104
- Cardinal: 345008047104 can be written as Three hundred forty-five billion, eight million, forty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 3.45008047104 × 1011
Factors of 345008047104
Divisors of 345008047104
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 107 112 126 128 144 151 168 192 214 224 252 256 288 302 321 331 336 384 428 448 453 504 512 576 604 642 662 672 749 768 856 896 906 963 993 1008 1024 1057 1152 1208 1284 1324 1344 1359 1498 1536 1712 1792 1812 1926 1986 2016 2114 2247 2304 2317 2416 2568 2648 2688 2718 2979 2996 3072 3171 3424 3584 3624 3852 3972 4032 4228 4494 4608 4634 4832 5136 5296 5376 5436 5958 5992 6342 6741 6848 6951 7168 7248 7704 7944 8064 8456 8988 9216 9268 9513 9664 10272 10592 10752 10872 11916 11984 12684 13482 13696 13902 14496 15408 15888 16128 16157 16912 17976 18536 19026 19328 20544 20853 21184 21504 21744 23832 23968 25368 26964 27392 27804 28992 30816 31776 32256 32314 33824 35417 35952 37072 38052 38656 41088 41706 42368 43488 47664 47936 48471 49981 50736 53928 54784 55608 57984 61632 63552 64512 64628 67648 70834 71904 74144 76104 77312 82176 83412 84736 86976 95328 95872 96942 99962 101472 106251 107856 109568 111216 113099 115968 123264 127104 129256 135296 141668 143808 145413 148288 149943 152208 154624 164352 166824 169472 173952 190656 191744 193884 199924 202944 212502 215712 222432 226198 231936 246528 247919 254208 258512 270592 283336 287616 290826 296576 299886 304416 318753 328704 333648 338944 339297 347904 349867 381312 383488 387768 399848 405888 425004 431424 444864 449829 452396 463872 493056 495838 508416 517024 541184 566672 575232 581652 593152 599772 608832 637506 667296 678594 695808 699734 743757 762624 766976 775536 799696 811776 850008 862848 889728 899658 904792 986112 991676 1016832 1017891 1034048 1049601 1082368 1133344 1150464 1163304 1186304 1199544 1217664 1275012 1334592 1357188 1391616 1399468 1487514 1525248 1551072 1599392 1623552 1700016 1725696 1779456 1799316 1809584 1983352 2035782 2068096 2099202 2231271 2266688 2300928 2326608 2372608 2399088 2435328 2550024 2669184 2714376 2798936 2975028 3050496 3102144 3148803 3198784 3247104 3400032 3451392 3558912 3598632 3619168 3966704 4071564 4136192 4198404 4462542 4533376 4653216 4798176 4870656 5100048 5338368 5347967 5428752 5597872 5950056 6204288 6297606 6397568 6800064 6902784 7117824 7197264 7238336 7933408 8143128 8272384 8396808 8925084 9066752 9306432 9596352 9741312 10200096 10676736 10695934 10857504 11195744 11900112 12408576 12595212 12795136 13600128 14394528 14476672 15866816 16043901 16286256 16544768 16793616 17850168 18133504 18612864 19192704 20400192 21353472 21391868 21715008 22391488 23800224 24817152 25190424 25590272 27200256 28789056 28953344 31733632 32087802 32572512 33587232 35700336 36267008 37225728 37435769 38385408 40800384 42783736 43430016 44782976 47600448 48131703 49634304 50380848 51180544 54400512 57578112 57906688 63467264 64175604 65145024 67174464 71400672 74451456 74871538 76770816 81600768 85567472 86860032 89565952 95200896 96263406 100761696 108801024 112307307 115156224 115813376 126934528 128351208 130290048 134348928 142801344 148902912 149743076 153541632 163201536 171134944 173720064 179131904 190401792 192526812 201523392 224614614 230312448 253869056 256702416 260580096 268697856 285602688 299486152 326403072 336921921 342269888 347440128 358263808 380803584 385053624 403046784 449229228 460624896 513404832 521160192 537395712 571205376 598972304 673843842 684539776 761607168 770107248 806093568 898458456 1026809664 1042320384 1074791424 1142410752 1197944608 1347687684 1369079552 1540214496 1612187136 1796916912 2053619328 2284821504 2395889216 2695375368 2738159104 3080428992 3224374272 3593833824 4107238656 4791778432 5390750736 5476318208 6160857984 7187667648 8214477312 9583556864 10781501472 12321715968 14375335296 16428954624 19167113728 21563002944 24643431936 28750670592 38334227456 43126005888 49286863872 57501341184 86252011776 115002682368 172504023552 345008047104
- Sum of all divisors σ(n): 1160263443456
- Sum of proper divisors (its aliquot sum) s(n): 815255396352
- 345008047104 is an abundant number, because the sum of its proper divisors (815255396352) is greater than itself. Its abundance is 470247349248
Bases of 345008047104
- Binary: 1010000010101000001010100000100000000002
- Hexadecimal: 0x5054150400
- Base-36: 4EHSVSW0
Squares and roots of 345008047104
- 345008047104 squared (3450080471042) is 119030552566515882786816
- 345008047104 cubed (3450080471043) is 41066498486683659781677957318180864
-
The
square root of 345008047104 is 587373.8563334259 -
The
cube root of 345008047104 is 7013.6336135107
Scales and comparisons
How big is 345008047104?- 345,008,047,104 seconds is equal to 10,970 years, 9 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 345,008,047,104 would take you about twenty-one thousand, nine hundred forty 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 345008047104 cubic inches would be around 584.5 feet tall.
Recreational maths with 345008047104
- 345008047104 backwards is 401740800543
- 345008047104 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 345008047104's digits is 36
- More coming soon!
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