345400898870104490160
345,400,898,870,104,490,160 is an even composite number composed of eight prime numbers multiplied together.
345400898870104490160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 345400898870104490160:
24 × 34 × 5 × 11 × 61 × 71 × 521 × 2147483647
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 61 × 71 × 521 × 2147483647)See below for interesting mathematical facts about the number 345400898870104490160 from the Numbermatics database.
Names of 345400898870104490160
- Cardinal: 345400898870104490160 can be written as Three hundred forty-five quintillion, four hundred quadrillion, eight hundred ninety-eight trillion, eight hundred seventy billion, one hundred four million, four hundred ninety thousand, one hundred sixty.
Scientific notation
- Scientific notation: 3.4540089887010449016 × 1020
Factors of 345400898870104490160
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 2147484321
Divisors of 345400898870104490160
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 61 66 71 72 80 81 88 90 99 108 110 120 122 132 135 142 144 162 165 176 180 183 198 213 216 220 240 244 264 270 284 297 305 324 330 355 360 366 396 405 426 432 440 488 495 521 528 540 549 568 594 610 639 648 660 671 710 720 732 781 792 810 852 880 891 915 976 990 1042 1065 1080 1098 1136 1188 1220 1278 1296 1320 1342 1420 1464 1485 1562 1563 1584 1620 1647 1704 1782 1830 1917 1980 2013 2084 2130 2160 2196 2343 2376 2440 2556 2605 2640 2684 2745 2840 2928 2970 3124 3126 3195 3240 3294 3355 3408 3564 3660 3834 3905 3960 4026 4168 4260 4331 4392 4455 4686 4689 4752 4880 4941 5112 5210 5368 5490 5680 5731 5751 5940 6039 6248 6252 6390 6480 6588 6710 7029 7128 7320 7668 7810 7815 7920 8052 8235 8336 8520 8662 8784 8910 9372 9378 9585 9882 10065 10224 10420 10736 10980 11462 11502 11715 11880 12078 12496 12504 12780 12993 13176 13420 14058 14067 14256 14640 15336 15620 15630 16104 16470 17040 17193 17324 17820 18117 18744 18756 19170 19764 20130 20840 21087 21655 21960 22924 23004 23430 23445 23760 24156 24705 25008 25560 25986 26352 26840 28116 28134 28655 28755 30195 30672 31240 31260 31781 32208 32940 34386 34648 35145 35640 36234 36991 37488 37512 38340 38979 39528 40260 41680 42174 42201 43310 43920 45848 46008 46860 46890 47641 48312 49410 51120 51579 51972 53680 54351 56232 56268 57310 57510 60390 62480 62520 63261 63562 64965 65880 68772 69296 70290 70335 71280 72468 73982 75024 76680 77958 79056 80520 84348 84402 85965 86620 90585 91696 92016 93720 93780 95282 95343 96624 98820 103158 103944 105435 108702 110973 112464 112536 114620 115020 116937 120780 125040 126522 127124 129930 131760 137544 140580 140670 142923 144936 147964 153360 154737 155916 158905 161040 168696 168804 171930 173240 181170 184955 187440 187560 190564 190686 194895 197640 206316 207888 210870 211005 217404 221946 225072 229240 230040 233874 238205 241560 253044 254248 257895 259860 271755 275088 281160 281340 285846 286029 289872 295928 309474 311832 316305 317810 332919 337392 337608 343860 346480 349591 350811 362340 369910 375120 381128 381372 389790 395280 406901 412632 421740 422010 428769 434808 443892 458480 460080 464211 467748 476410 476715 483120 506088 508496 515790 519720 543510 554865 562320 562680 571692 572058 584685 591856 618948 623664 632610 635620 665838 675216 687720 699182 701622 714615 724680 739820 762256 762744 773685 779580 813802 825264 843480 844020 857538 858087 869616 887784 928422 935496 952820 953430 998757 1012176 1031580 1039440 1048773 1087020 1109730 1125360 1143384 1144116 1169370 1220703 1237896 1265220 1271240 1286307 1331676 1375440 1398364 1403244 1429230 1430145 1449360 1479640 1525488 1547370 1559160 1627604 1664595 1686960 1688040 1715076 1716174 1747955 1754055 1775568 1856844 1870992 1905640 1906860 1997514 2034505 2063160 2097546 2143845 2174040 2219460 2256451 2286768 2288232 2321055 2338740 2441406 2475792 2530440 2542480 2572614 2574261 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2093338781030936304 2132104314012990680 2398617353264614515 2432400696268341480 2558525176815588816 2616673476288670380 2831154908771348280 2878340823917537418 3140008171546404456 3198156471019486020 3488897968384893840 3837787765223383224 3925010214433005570 4264208628025981360 4317511235876306127 4797234706529229030 4864801392536682960 5233346952577340760 5662309817542696560 5756681647835074836 6280016343092808912 6396312942038972040 7195852059793843545 7675575530446766448 7850020428866011140 8635022471752612254 9594469413058458060 10466693905154681520 11513363295670149672 12792625884077944080 14391704119587687090 15700040857732022280 17270044943505224508 19188938826116916120 21587556179381530635 23026726591340299344 28783408239175374180 31400081715464044560 34540089887010449016 38377877652233832240 43175112358763061270 57566816478350748360 69080179774020898032 86350224717526122540 115133632956701496720 172700449435052245080 345400898870104490160
- Sum of all divisors σ(n): 1351462859655975272448
- Sum of proper divisors (its aliquot sum) s(n): 1006061960785870782288
- 345400898870104490160 is an abundant number, because the sum of its proper divisors (1006061960785870782288) is greater than itself. Its abundance is 660661061915766292128
Bases of 345400898870104490160
- Binary: 1001010111001011001100111111110000010100011010011001100000000101100002
- Hexadecimal: 0x12B9667F828D3300B0
- Base-36: 20W6ZK07NR1700
Squares and roots of 345400898870104490160
- 345400898870104490160 squared (3454008988701044901602) is 119301780940276149267274151156593536825600
- 345400898870104490160 cubed (3454008988701044901603) is 41206942373575681605117518089484779105612903070789872836096000
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The
square root of 345400898870104490160 is 18584964322.5405329311 -
The
cube root of 345400898870104490160 is 7016294.6849773051
Scales and comparisons
How big is 345400898870104490160?- 345,400,898,870,104,490,160 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 345,400,898,870,104,490,160 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 345400898870104490160 cubic inches would be around 584691.2 feet tall.
Recreational maths with 345400898870104490160
- 345400898870104490160 backwards is 061094401078898004543
- 345400898870104490160 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 345400898870104490160's digits is 81
- More coming soon!
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The information we have on file for 345400898870104490160 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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