137742260940
137,742,260,940 is an even composite number composed of six prime numbers multiplied together.
What does the number 137742260940 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
137742260940 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 137742260940:
22 × 36 × 5 × 31 × 41 × 7433
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 41 × 7433)See below for interesting mathematical facts about the number 137742260940 from the Numbermatics database.
Names of 137742260940
- Cardinal: 137742260940 can be written as One hundred thirty-seven billion, seven hundred forty-two million, two hundred sixty thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3774226094 × 1011
Factors of 137742260940
Divisors of 137742260940
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 41 45 54 60 62 81 82 90 93 108 123 124 135 155 162 164 180 186 205 243 246 270 279 310 324 369 372 405 410 465 486 492 540 558 615 620 729 738 810 820 837 930 972 1107 1116 1215 1230 1271 1395 1458 1476 1620 1674 1845 1860 2214 2430 2460 2511 2542 2790 2916 3321 3348 3645 3690 3813 4185 4428 4860 5022 5084 5535 5580 6355 6642 7290 7380 7433 7533 7626 8370 9963 10044 11070 11439 12555 12710 13284 14580 14866 15066 15252 16605 16740 19065 19926 22140 22299 22599 22878 25110 25420 29732 29889 30132 33210 34317 37165 37665 38130 39852 44598 45198 45756 49815 50220 57195 59778 66420 66897 68634 74330 75330 76260 89196 90396 99630 102951 111495 112995 114390 119556 133794 137268 148660 149445 150660 171585 199260 200691 205902 222990 225990 228780 230423 267588 298890 304753 308853 334485 343170 401382 411804 445980 451980 460846 514755 597780 602073 609506 617706 668970 686340 691269 802764 914259 921692 926559 1003455 1029510 1152115 1204146 1219012 1235412 1337940 1382538 1523765 1544265 1806219 1828518 1853118 2006910 2059020 2073807 2304230 2408292 2742777 2765076 3010365 3047530 3088530 3456345 3612438 3657036 3706236 4013820 4147614 4571295 4608460 4632795 5418657 5485554 6020730 6095060 6177060 6221421 6912690 7224876 8228331 8295228 9031095 9142590 9265590 9447343 10369035 10837314 10971108 12041460 12442842 13713885 13825380 16456662 18062190 18285180 18531180 18664263 18894686 20738070 21674628 24684993 24885684 27093285 27427770 28342029 31107105 32913324 36124380 37328526 37789372 41141655 41476140 47236715 49369986 54186570 54855540 55992789 56684058 62214210 74054979 74657052 82283310 85026087 93321315 94473430 98739972 108373140 111985578 113368116 123424965 124428420 141710145 148109958 164566620 167978367 170052174 186642630 188946860 222164937 223971156 246849930 255078261 279963945 283420290 296219916 335956734 340104348 370274895 373285260 425130435 444329874 493699860 510156522 559927890 566840580 671913468 740549790 765234783 839891835 850260870 888659748 1020313044 1110824685 1119855780 1275391305 1481099580 1530469566 1679783670 1700521740 2221649370 2295704349 2550782610 3060939132 3359567340 3826173915 4443298740 4591408698 5101565220 6887113047 7652347830 9182817396 11478521745 13774226094 15304695660 22957043490 27548452188 34435565235 45914086980 68871130470 137742260940
- Sum of all divisors σ(n): 458660434176
- Sum of proper divisors (its aliquot sum) s(n): 320918173236
- 137742260940 is an abundant number, because the sum of its proper divisors (320918173236) is greater than itself. Its abundance is 183175912296
Bases of 137742260940
- Binary: 100000000100100001010000011010110011002
- Hexadecimal: 0x2012141ACC
- Base-36: 1RA06OR0
Squares and roots of 137742260940
- 137742260940 squared (1377422609402) is 18972930448863049683600
- 137742260940 cubed (1377422609403) is 2613374336683765515842615638584000
-
The
square root of 137742260940 is 371136.4451788589 -
The
cube root of 137742260940 is 5164.4300854301
Scales and comparisons
How big is 137742260940?- 137,742,260,940 seconds is equal to 4,379 years, 40 weeks, 3 days, 3 hours, 9 minutes.
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To count from 1 to 137,742,260,940 would take you about eight thousand, seven hundred fifty-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 137742260940 cubic inches would be around 430.4 feet tall.
Recreational maths with 137742260940
- 137742260940 backwards is 049062247731
- 137742260940 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137742260940's digits is 45
- More coming soon!
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