137428043328
137,428,043,328 is an even composite number composed of six prime numbers multiplied together.
137428043328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 137428043328:
26 × 32 × 19 × 312 × 73 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 31 × 31 × 73 × 179)See below for interesting mathematical facts about the number 137428043328 from the Numbermatics database.
Names of 137428043328
- Cardinal: 137428043328 can be written as One hundred thirty-seven billion, four hundred twenty-eight million, forty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37428043328 × 1011
Factors of 137428043328
Divisors of 137428043328
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 73 76 93 96 114 124 144 146 152 171 179 186 192 219 228 248 279 288 292 304 342 358 372 438 456 496 537 558 576 584 589 608 657 684 716 744 876 912 961 992 1074 1116 1168 1178 1216 1314 1368 1387 1432 1488 1611 1752 1767 1824 1922 1984 2148 2232 2263 2336 2356 2628 2736 2774 2864 2883 2976 3222 3401 3504 3534 3648 3844 4161 4296 4464 4526 4672 4712 5256 5301 5472 5548 5549 5728 5766 5952 6444 6789 6802 7008 7068 7688 8322 8592 8649 8928 9052 9424 10203 10512 10602 10944 11096 11098 11456 11532 12483 12888 13067 13578 13604 14016 14136 15376 16644 16647 17184 17298 17856 18104 18259 18848 20367 20406 21024 21204 22192 22196 23064 24966 25776 26134 27156 27208 28272 30609 30752 33288 33294 34368 34596 36208 36518 37696 39201 40734 40812 42048 42408 42997 44384 44392 46128 49932 49941 51552 52268 54312 54416 54777 56544 61218 61504 66576 66588 69192 70153 72416 73036 78402 81468 81624 84816 85994 88768 88784 92256 99864 99882 103104 104536 105431 108624 108832 109554 113088 117603 122436 128991 133152 133176 138384 140306 144832 146072 156804 162936 163248 164331 169632 171988 172019 177568 184512 199728 199764 209072 210459 210862 217248 217664 219108 235206 244872 248273 257982 266304 266352 276768 280612 292144 313608 316293 325872 326496 328662 339264 343976 344038 355136 386973 399456 399528 405077 418144 420918 421724 434496 438216 470412 489744 496546 515964 516057 532704 553536 561224 584288 627216 631377 632586 651744 652992 657324 687952 688076 744819 773946 798912 799056 810154 836288 841836 843448 876432 940824 948879 979488 993092 1031928 1032114 1065408 1122448 1168576 1215231 1254432 1262754 1265172 1303488 1314648 1332907 1375904 1376152 1489638 1547892 1548171 1598112 1620308 1683672 1686896 1752864 1881648 1897758 1958976 1986184 2063856 2064228 2234457 2244896 2430462 2508864 2525508 2530344 2629296 2665814 2751808 2752304 2979276 3095784 3096342 3196224 3240616 3268361 3367344 3373792 3505728 3645693 3763296 3795516 3972368 3998721 4127712 4128456 4468914 4489792 4860924 5051016 5060688 5258592 5331628 5504608 5958552 6191568 6192684 6481232 6536722 6734688 6747584 7291386 7526592 7591032 7696463 7944736 7997442 8255424 8256912 8937828 9721848 9805083 10102032 10121376 10517184 10663256 11009216 11917104 11996163 12383136 12385368 12557387 12962464 13073444 13469376 14582772 15182064 15392926 15889472 15994884 16513824 17875656 19443696 19610166 20204064 20242752 21326512 23089389 23834208 23992326 24766272 24770736 25114774 25924928 26146888 29165544 29415249 30364128 30785852 31989768 33027648 35751312 37672161 38887392 39220332 40408128 42653024 46178778 47668416 47984652 49541472 50229548 52293776 58331088 58830498 60728256 61571704 63979536 69268167 71502624 75344322 77774784 78440664 85306048 92357556 95969304 99082944 100459096 104587552 113016483 116662176 117660996 123143408 127959072 138536334 143005248 150688644 156881328 184715112 191938608 200918192 209175104 226032966 233324352 235321992 238590353 246286816 255918144 277072668 301377288 313762656 369430224 383877216 401836384 452065932 470643984 477180706 492573632 554145336 602754576 627525312 715771059 738860448 767754432 803672768 904131864 941287968 954361412 1108290672 1205509152 1431542118 1477720896 1808263728 1882575936 1908722824 2147313177 2216581344 2411018304 2863084236 3616527456 3817445648 4294626354 4433162688 5726168472 7233054912 7634891296 8589252708 11452336944 15269782592 17178505416 22904673888 34357010832 45809347776 68714021664 137428043328
- Sum of all divisors σ(n): 436747615200
- Sum of proper divisors (its aliquot sum) s(n): 299319571872
- 137428043328 is an abundant number, because the sum of its proper divisors (299319571872) is greater than itself. Its abundance is 161891528544
Bases of 137428043328
- Binary: 11111111111110101100110000110010000002
- Hexadecimal: 0x1FFF598640
- Base-36: 1R4T3WW0
Squares and roots of 137428043328
- 137428043328 squared (1374280433282) is 18886467092962645315584
- 137428043328 cubed (1374280433283) is 2595530217964516624315574185623552
-
The
square root of 137428043328 is 370712.8853007405 -
The
cube root of 137428043328 is 5160.5000633087
Scales and comparisons
How big is 137428043328?- 137,428,043,328 seconds is equal to 4,369 years, 40 weeks, 6 days, 8 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,428,043,328 would take you about eight thousand, seven hundred thirty-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 137428043328 cubic inches would be around 430 feet tall.
Recreational maths with 137428043328
- 137428043328 backwards is 823340824731
- The number of decimal digits it has is: 12
- The sum of 137428043328's digits is 45
- More coming soon!
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