131827601664
131,827,601,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 131827601664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
131827601664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 131827601664:
28 × 32 × 11 × 61 × 71 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 61 × 71 × 1201)See below for interesting mathematical facts about the number 131827601664 from the Numbermatics database.
Names of 131827601664
- Cardinal: 131827601664 can be written as One hundred thirty-one billion, eight hundred twenty-seven million, six hundred one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.31827601664 × 1011
Factors of 131827601664
Divisors of 131827601664
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 64 66 71 72 88 96 99 122 128 132 142 144 176 183 192 198 213 244 256 264 284 288 352 366 384 396 426 488 528 549 568 576 639 671 704 732 768 781 792 852 976 1056 1098 1136 1152 1201 1278 1342 1408 1464 1562 1584 1704 1952 2013 2112 2196 2272 2304 2343 2402 2556 2684 2816 2928 3124 3168 3408 3603 3904 4026 4224 4331 4392 4544 4686 4804 5112 5368 5856 6039 6248 6336 6816 7029 7206 7808 8052 8448 8662 8784 9088 9372 9608 10224 10736 10809 11712 12078 12496 12672 12993 13211 13632 14058 14412 15616 16104 17324 17568 18176 18744 19216 20448 21472 21618 23424 24156 24992 25344 25986 26422 27264 28116 28824 32208 34648 35136 37488 38432 38979 39633 40896 42944 43236 46848 47641 48312 49984 51972 52844 54528 56232 57648 64416 69296 70272 73261 74976 76864 77958 79266 81792 85271 85888 86472 95282 96624 99968 103944 105688 112464 115296 118899 128832 138592 140544 142923 146522 149952 153728 155916 158532 163584 170542 171776 172944 190564 193248 199936 207888 211376 219783 224928 230592 237798 255813 257664 277184 285846 293044 299904 307456 311832 317064 341084 345888 381128 386496 415776 422752 428769 439566 449856 461184 475596 511626 515328 554368 571692 586088 599808 623664 634128 659349 682168 691776 762256 767439 772992 805871 831552 845504 857538 879132 899712 922368 937981 951192 1023252 1108736 1143384 1172176 1247328 1268256 1318698 1364336 1383552 1524512 1534878 1545984 1611742 1663104 1691008 1715076 1758264 1799424 1875962 1902384 2046504 2286768 2344352 2417613 2494656 2536512 2637396 2728672 2767104 2813943 3049024 3069756 3223484 3326208 3382016 3430152 3516528 3751924 3804768 4093008 4573536 4688704 4835226 4989312 5073024 5201531 5274792 5457344 5627886 6098048 6139512 6446968 6860304 7033056 7252839 7503848 7609536 8186016 8441829 9147072 9377408 9670452 9978624 10146048 10403062 10549584 10914688 11255772 12196096 12279024 12893936 13720608 14066112 14505678 15007696 15219072 15604593 16372032 16883658 18294144 18754816 19340904 20806124 21099168 21829376 22511544 24558048 25787872 27441216 28132224 29011356 30015392 30438144 31209186 32744064 33767316 36588288 38681808 41612248 42198336 45023088 46813779 49116096 51575744 54882432 56264448 57216841 58022712 60030784 62418372 65488128 67534632 77363616 83224496 84396672 90046176 93627558 98232192 103151488 109764864 114433682 116045424 120061568 124836744 135069264 154727232 166448992 168793344 171650523 180092352 187255116 196464384 206302976 228867364 232090848 240123136 249673488 270138528 309454464 332897984 343301046 360184704 374510232 457734728 464181696 499346976 514951569 540277056 618908928 665795968 686602092 720369408 749020464 915469456 928363392 998693952 1029903138 1080554112 1331591936 1373204184 1498040928 1830938912 1856726784 1997387904 2059806276 2161108224 2746408368 2996081856 3661877824 3994775808 4119612552 5492816736 5992163712 7323755648 8239225104 10985633472 11984327424 14647511296 16478450208 21971266944 32956900416 43942533888 65913800832 131827601664
- Sum of all divisors σ(n): 427734373248
- Sum of proper divisors (its aliquot sum) s(n): 295906771584
- 131827601664 is an abundant number, because the sum of its proper divisors (295906771584) is greater than itself. Its abundance is 164079169920
Bases of 131827601664
- Binary: 11110101100011000100110010001000000002
- Hexadecimal: 0x1EB1899100
- Base-36: 1OK6R0G0
Squares and roots of 131827601664
- 131827601664 squared (1318276016642) is 17378516560482255568896
- 131827601664 cubed (1318276016643) is 2290968158646482150876667596242944
-
The
square root of 131827601664 is 363080.7095729543 -
The
cube root of 131827601664 is 5089.4257603979
Scales and comparisons
How big is 131827601664?- 131,827,601,664 seconds is equal to 4,191 years, 36 weeks, 6 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 131,827,601,664 would take you about eight thousand, three hundred eighty-three 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 131827601664 cubic inches would be around 424.1 feet tall.
Recreational maths with 131827601664
- 131827601664 backwards is 466106728131
- The number of decimal digits it has is: 12
- The sum of 131827601664's digits is 45
- More coming soon!
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