123506131968
123,506,131,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 123506131968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 352 divisors.
123506131968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 123506131968:
210 × 33 × 61 × 67 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 61 × 67 × 1093)See below for interesting mathematical facts about the number 123506131968 from the Numbermatics database.
Names of 123506131968
- Cardinal: 123506131968 can be written as One hundred twenty-three billion, five hundred six million, one hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.23506131968 × 1011
Factors of 123506131968
Divisors of 123506131968
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 67 72 96 108 122 128 134 144 183 192 201 216 244 256 268 288 366 384 402 432 488 512 536 549 576 603 732 768 804 864 976 1024 1072 1093 1098 1152 1206 1464 1536 1608 1647 1728 1809 1952 2144 2186 2196 2304 2412 2928 3072 3216 3279 3294 3456 3618 3904 4087 4288 4372 4392 4608 4824 5856 6432 6558 6588 6912 7236 7808 8174 8576 8744 8784 9216 9648 9837 11712 12261 12864 13116 13176 13824 14472 15616 16348 17152 17488 17568 19296 19674 23424 24522 25728 26232 26352 27648 28944 29511 31232 32696 34304 34976 35136 36783 38592 39348 46848 49044 51456 52464 52704 57888 59022 62464 65392 66673 68608 69952 70272 73231 73566 77184 78696 93696 98088 102912 104928 105408 110349 115776 118044 130784 133346 139904 140544 146462 147132 154368 157392 187392 196176 200019 205824 209856 210816 219693 220698 231552 236088 261568 266692 279808 281088 292924 294264 308736 314784 392352 400038 419712 421632 439386 441396 463104 472176 523136 533384 559616 562176 585848 588528 600057 617472 629568 659079 784704 800076 839424 843264 878772 882792 926208 944352 1046272 1066768 1119232 1171696 1177056 1200114 1259136 1318158 1569408 1600152 1678848 1686528 1757544 1765584 1800171 1852416 1888704 1977237 2092544 2133536 2343392 2354112 2400228 2518272 2636316 3138816 3200304 3357696 3515088 3531168 3600342 3777408 3954474 4185088 4267072 4467091 4686784 4708224 4800456 5036544 5272632 6277632 6400608 7030176 7062336 7200684 7554816 7908948 8534144 8934182 9373568 9416448 9600912 10073088 10545264 12555264 12801216 13401273 14060352 14124672 14401368 15109632 15817896 17068288 17868364 18747136 18832896 19201824 21090528 25602432 26802546 28120704 28249344 28802736 30219264 31635792 34136576 35736728 37494272 37665792 38403648 40203819 42181056 51204864 53605092 56241408 56498688 57605472 63271584 68273152 71473456 74988544 76807296 80407638 84362112 102409728 107210184 112482816 112997376 115210944 120611457 126543168 142946912 153614592 160815276 168724224 204819456 214420368 224965632 230421888 241222914 253086336 285893824 307229184 321630552 337448448 428840736 460843776 482445828 506172672 571787648 614458368 643261104 674896896 857681472 921687552 964891656 1012345344 1143575296 1286522208 1715362944 1843375104 1929783312 2024690688 2287150592 2573044416 3430725888 3859566624 4574301184 5146088832 6861451776 7719133248 10292177664 13722903552 15438266496 20584355328 30876532992 41168710656 61753065984 123506131968
- Sum of all divisors σ(n): 377655451520
- Sum of proper divisors (its aliquot sum) s(n): 254149319552
- 123506131968 is an abundant number, because the sum of its proper divisors (254149319552) is greater than itself. Its abundance is 130643187584
Bases of 123506131968
- Binary: 11100110000011000101000000100000000002
- Hexadecimal: 0x1CC18A0400
- Base-36: 1KQKD1C0
Squares and roots of 123506131968
- 123506131968 squared (1235061319682) is 15253764633697031553024
- 123506131968 cubed (1235061319683) is 1883933467858196758717642133471232
-
The
square root of 123506131968 is 351434.3921246183 -
The
cube root of 123506131968 is 4980.0018812593
Scales and comparisons
How big is 123506131968?- 123,506,131,968 seconds is equal to 3,927 years, 5 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 123,506,131,968 would take you about seven thousand, eight hundred fifty-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 123506131968 cubic inches would be around 415 feet tall.
Recreational maths with 123506131968
- 123506131968 backwards is 869131605321
- The number of decimal digits it has is: 12
- The sum of 123506131968's digits is 45
- More coming soon!
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The information we have on file for 123506131968 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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