137944418040
137,944,418,040 is an even composite number composed of seven prime numbers multiplied together.
137944418040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137944418040:
23 × 33 × 5 × 11 × 132 × 127 × 541
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 127 × 541)See below for interesting mathematical facts about the number 137944418040 from the Numbermatics database.
Names of 137944418040
- Cardinal: 137944418040 can be written as One hundred thirty-seven billion, nine hundred forty-four million, four hundred eighteen thousand and forty.
Scientific notation
- Scientific notation: 1.3794441804 × 1011
Factors of 137944418040
Divisors of 137944418040
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 27 30 33 36 39 40 44 45 52 54 55 60 65 66 72 78 88 90 99 104 108 110 117 120 127 130 132 135 143 156 165 169 180 195 198 216 220 234 254 260 264 270 286 297 312 330 338 351 360 381 390 396 429 440 468 495 507 508 520 540 541 572 585 594 635 660 676 702 715 762 780 792 845 858 936 990 1014 1016 1080 1082 1143 1144 1170 1188 1270 1287 1320 1352 1397 1404 1430 1485 1521 1524 1560 1623 1651 1690 1716 1755 1859 1905 1980 2028 2145 2164 2286 2340 2376 2535 2540 2574 2705 2794 2808 2860 2970 3042 3048 3246 3302 3380 3429 3432 3510 3718 3810 3861 3960 4056 4191 4290 4328 4563 4572 4680 4869 4953 5070 5080 5148 5410 5577 5588 5715 5720 5940 5951 6084 6435 6492 6604 6760 6858 6985 7020 7033 7436 7605 7620 7722 8115 8255 8382 8580 9126 9144 9295 9738 9906 10140 10296 10820 11154 11176 11430 11880 11902 12168 12573 12870 12984 13208 13716 13970 14040 14066 14607 14859 14872 15210 15240 15444 16230 16510 16731 16764 17145 17160 17853 18161 18252 18590 19305 19476 19812 20280 20955 21099 21463 21640 22308 22815 22860 23804 24345 24765 25146 25740 27432 27885 27940 28132 29214 29718 29755 30420 30888 32460 33020 33462 33528 34290 35165 35706 36322 36504 37180 37719 38610 38952 39624 41910 42198 42926 44577 44616 45630 45720 47608 48690 49530 50193 50292 51480 53559 54483 55770 55880 56264 58428 59436 59510 60840 62865 63297 64389 64920 66040 66924 68580 68707 70330 71412 72644 73035 74295 74360 75438 77220 77363 83655 83820 84396 85852 89154 89265 90805 91260 91429 97380 99060 100386 100584 105495 107118 107315 108966 111540 116856 118872 119020 125730 126594 128778 133848 137160 137414 140660 142824 145288 146070 148590 150876 154440 154726 160677 163449 167310 167640 168792 171704 178308 178530 181610 182520 182858 188595 189891 193167 194760 198120 200772 206121 210990 214236 214630 217932 222885 223080 232089 236093 238040 250965 251460 253188 257556 267795 272415 274287 274828 281320 292140 297180 301752 309452 316485 321354 321945 326898 334620 343535 356616 357060 363220 365716 377190 379782 386334 386815 401544 412242 421980 428472 429260 435864 445770 457145 464178 472186 490347 501930 502920 506376 515112 535590 544830 548574 549656 579501 584280 594360 618363 618904 632970 642708 643890 653796 669240 687070 696267 708279 714120 726440 731432 754380 755777 759564 772668 773630 803385 817245 822861 824484 843960 858520 891540 893191 914290 928356 944372 949455 965835 980694 1003860 1005719 1030605 1071180 1089660 1097148 1159002 1160445 1180465 1236726 1265940 1285416 1287780 1307592 1371435 1374140 1392534 1416558 1508760 1511554 1519128 1545336 1547260 1606770 1634490 1645722 1648968 1783080 1786382 1828580 1855089 1856712 1888744 1898910 1931670 1961388 2007720 2011438 2061210 2088801 2124837 2142360 2179320 2194296 2267331 2318004 2320890 2360930 2451735 2468583 2473452 2531880 2575560 2679573 2742870 2748280 2785068 2833116 2897505 3017157 3023108 3091815 3094520 3213540 3268980 3291444 3481335 3541395 3572764 3657160 3710178 3778885 3797820 3863340 3922776 4022876 4114305 4122420 4177602 4249674 4465955 4534662 4636008 4641780 4721860 4903470 4937166 4946904 5028595 5359146 5485740 5570136 5666232 5795010 6034314 6046216 6183630 6374511 6427080 6537960 6582888 6801993 6962670 7082790 7145528 7420356 7557770 7595640 7726680 8038719 8045752 8228610 8244840 8355204 8499348 8931910 9051471 9069324 9275445 9283560 9443720 9806940 9825101 9874332 10057190 10444005 10624185 10718292 10971480 11336655 11590020 11611483 12068628 12342915 12367260 12749022 13397865 13603986 13925340 14165580 14840712 15085785 15115540 16077438 16457220 16710408 16998696 17863820 18102942 18138648 18550890 19613880 19650202 19748664 20114380 20405979 20888010 21248370 21436584 22673310 23180040 23222966 24116157 24137256 24685830 24734520 25498044 26795730 27154413 27207972 27850680 28331160 29475303 30171570 30231080 31872555 32154876 32914440 34009965 34834449 35727640 36205884 37101780 39300404 40193595 40228760 40811958 41776020 42496740 45257355 45346620 46445932 48232314 49125505 49371660 50996088 53591460 54308826 54415944 58057415 58950606 60343140 63745110 64309752 68019930 69668898 72411768 74203560 78600808 80387190 81623916 83552040 84993480 88425909 90514710 90693240 92891864 96464628 98251010 98743320 102029895 104503347 107182920 108617652 116114830 117901212 120580785 120686280 127490220 127726313 135772065 136039860 139337796 147376515 160774380 163247832 174172245 176851818 181029420 192929256 196502020 204059790 209006694 217235304 232229660 235802424 241161570 254980440 255452626 265277727 271544130 272079720 278675592 294753030 313510041 321548760 348344490 353703636 362058840 383178939 393004040 408119580 418013388 442129545 464459320 482323140 510905252 522516735 530555454 543088260 589506060 627020082 638631565 696688980 707407272 766357878 816239160 836026776 884259090 964646280 1021810504 1045033470 1061110908 1086176520 1149536817 1179012120 1254040164 1277263130 1326388635 1393377960 1532715756 1567550205 1768518180 1915894695 2090066940 2122221816 2299073634 2508080328 2554526260 2652777270 3065431512 3135100410 3448610451 3537036360 3831789390 4180133880 4598147268 5109052520 5305554540 5747684085 6270200820 6897220902 7663578780 9196294536 10611109080 11495368170 12540401640 13794441804 15327157560 17243052255 22990736340 27588883608 34486104510 45981472680 68972209020 137944418040
- Sum of all divisors σ(n): 548458905600
- Sum of proper divisors (its aliquot sum) s(n): 410514487560
- 137944418040 is an abundant number, because the sum of its proper divisors (410514487560) is greater than itself. Its abundance is 272570069520
Bases of 137944418040
- Binary: 100000000111100010000011000110111110002
- Hexadecimal: 0x201E20C6F8
- Base-36: 1RDCJM60
Squares and roots of 137944418040
- 137944418040 squared (1379444180402) is 19028662468394277441600
- 137944418040 cubed (1379444180403) is 2624897770282238494947812086464000
-
The
square root of 137944418040 is 371408.6940824083 -
The
cube root of 137944418040 is 5166.9553715793
Scales and comparisons
How big is 137944418040?- 137,944,418,040 seconds is equal to 4,386 years, 10 weeks, 4 days, 21 hours, 54 minutes.
-
To count from 1 to 137,944,418,040 would take you about eight thousand, seven hundred seventy-two 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 137944418040 cubic inches would be around 430.6 feet tall.
Recreational maths with 137944418040
- 137944418040 backwards is 040814449731
- 137944418040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137944418040's digits is 45
- More coming soon!
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