137728030440
137,728,030,440 is an even composite number composed of eight prime numbers multiplied together.
137728030440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137728030440:
23 × 3 × 5 × 7 × 11 × 132 × 89 × 991
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 13 × 89 × 991)See below for interesting mathematical facts about the number 137728030440 from the Numbermatics database.
Names of 137728030440
- Cardinal: 137728030440 can be written as One hundred thirty-seven billion, seven hundred twenty-eight million, thirty thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3772803044 × 1011
Factors of 137728030440
Divisors of 137728030440
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 52 55 56 60 65 66 70 77 78 84 88 89 91 104 105 110 120 130 132 140 143 154 156 165 168 169 178 182 195 210 220 231 260 264 267 273 280 286 308 312 330 338 356 364 385 390 420 429 440 445 455 462 507 520 534 546 572 616 623 660 676 712 715 728 770 780 840 845 858 890 910 924 979 991 1001 1014 1068 1092 1144 1155 1157 1183 1246 1320 1335 1352 1365 1430 1540 1560 1690 1716 1780 1820 1848 1859 1869 1958 1982 2002 2028 2136 2145 2184 2310 2314 2366 2492 2535 2670 2730 2860 2937 2973 3003 3080 3115 3380 3432 3471 3549 3560 3640 3718 3738 3916 3964 4004 4056 4290 4620 4628 4732 4895 4955 4984 5005 5070 5340 5460 5577 5720 5785 5874 5915 5946 6006 6230 6760 6853 6937 6942 7098 7436 7476 7832 7928 8008 8099 8580 9240 9256 9295 9345 9464 9790 9910 10010 10140 10680 10901 10920 11154 11570 11748 11830 11892 12012 12460 12727 12883 13013 13706 13874 13884 14196 14685 14865 14872 14952 15015 15041 16198 17160 17355 17745 18590 18690 19580 19820 20020 20280 20559 20811 21802 22308 23140 23496 23660 23784 24024 24297 24920 25454 25766 26026 27412 27748 27768 27885 28392 29370 29730 30030 30082 32396 32703 34265 34685 34710 35490 37180 37380 38181 38649 39039 39160 39640 40040 40495 41118 41622 43604 44616 45123 46280 47320 48594 50908 51532 52052 54505 54824 55496 55770 58740 59460 60060 60164 63635 64415 64792 65065 65406 68530 69370 69420 70980 74360 74760 75205 76307 76362 77298 78078 80990 82236 83244 87208 88199 89089 90181 90246 97188 101816 102795 103064 104055 104104 105287 109010 111540 117480 118920 120120 120328 121485 127270 128830 130130 130812 137060 138740 138840 141713 141960 150410 152614 152724 154596 156156 161980 163515 164472 165451 166488 167479 176398 178178 180362 180492 190905 193245 194376 195195 205590 208110 210574 218020 223080 225615 228921 242970 254540 257660 260260 261624 264597 267267 270543 274120 277480 283426 300820 305228 305448 309192 312312 315861 323960 327030 330902 334958 352796 356356 360724 360984 381535 381810 386490 390390 411180 416220 421148 425139 436040 440995 445445 450905 451230 457842 485940 496353 502437 509080 515320 520520 526435 529194 534534 541086 566852 601640 610456 617393 631722 654060 661804 669916 705592 708565 712712 721448 763070 763620 772980 780780 822360 827255 832440 837395 842296 850278 881990 890890 901810 902460 915684 970189 971880 991991 992706 1004874 1052870 1058388 1069068 1082172 1133704 1144605 1146587 1158157 1172353 1234786 1263444 1308120 1322985 1323608 1336335 1339832 1352715 1417130 1526140 1527240 1545960 1561560 1579305 1654510 1674790 1700556 1763980 1781780 1803620 1804920 1831368 1842269 1852179 1940378 1983982 1985412 2009748 2105740 2116776 2125695 2138136 2164344 2289210 2293174 2316314 2344706 2469572 2481765 2512185 2526888 2645970 2672670 2705430 2834260 2910567 2975973 3052280 3086965 3158610 3309020 3349580 3401112 3439761 3474471 3517059 3527960 3563560 3607240 3684538 3704358 3880756 3967964 3970824 4019496 4211480 4251390 4578420 4586348 4632628 4689412 4850945 4939144 4959955 4963530 5024370 5291940 5345340 5410860 5526807 5668520 5732935 5790785 5821134 5861765 5951946 6173930 6317220 6618040 6699160 6791323 6879522 6948942 7034118 7369076 7408716 7761512 7935928 8026109 8502780 9156840 9172696 9211345 9260895 9265256 9378824 9701890 9919910 9927060 10048740 10583880 10690680 10821720 11053614 11465870 11581570 11642268 11723530 11903892 12347860 12612457 12634440 12895883 13582646 13759044 13897884 14068236 14552835 14738152 14817432 14879865 14905631 16052218 17005560 17198805 17372355 17585295 18422690 18521790 19403780 19839820 19854120 20097480 20373969 22107228 22931740 23163140 23284536 23447060 23807784 24078327 24695720 25224914 25791766 27165292 27518088 27634035 27795768 28136472 29105670 29759730 29811262 32104436 33956615 34397610 34744710 35170590 36845380 37043580 37837371 38687649 38807560 39679640 40130545 40747938 44214456 44716893 45863480 46326280 46894120 48156654 50449828 51583532 54330584 55268070 58211340 59519460 59622524 63062285 64208872 64479415 67913230 68795220 69489420 70341180 73690760 74087160 74528155 75674742 77375298 80261090 81495876 88287199 89433786 96313308 100899656 101869845 103167064 104339417 110536140 116422680 119038920 119245048 120391635 126124570 128958830 135826460 137590440 138978840 140682360 149056310 151349484 154750596 160522180 162991752 163961941 176574398 178867572 189186855 192626616 193438245 203739690 208678834 221072280 223584465 240783270 252249140 257917660 264861597 271652920 298112620 302698968 309501192 313018251 321044360 327923882 353148796 357735144 378373710 386876490 407479380 417357668 441435995 447168930 481566540 491885823 504498280 515835320 521697085 529723194 596225240 626036502 655847764 706297592 756747420 773752980 814958760 819809705 834715336 882871990 894337860 963133080 983771646 1043394170 1059446388 1147733587 1252073004 1311695528 1324307985 1513494840 1547505960 1565091255 1639619410 1765743980 1788675720 1967543292 2086788340 2118892776 2295467174 2459429115 2504146008 2648615970 3130182510 3279238820 3443200761 3531487960 3935086584 4173576680 4590934348 4918858230 5297231940 5738667935 6260365020 6558477640 6886401522 9181868696 9837716460 10594463880 11477335870 12520730040 13772803044 17216003805 19675432920 22954671740 27545606088 34432007610 45909343480 68864015220 137728030440
- Sum of all divisors σ(n): 564649574400
- Sum of proper divisors (its aliquot sum) s(n): 426921543960
- 137728030440 is an abundant number, because the sum of its proper divisors (426921543960) is greater than itself. Its abundance is 289193513520
Bases of 137728030440
- Binary: 100000000100010011101011110110111010002
- Hexadecimal: 0x20113AF6E8
- Base-36: 1R9RPOFC
Squares and roots of 137728030440
- 137728030440 squared (1377280304402) is 18969010368881566593600
- 137728030440 cubed (1377280304403) is 2612564437501996032558227909184000
-
The
square root of 137728030440 is 371117.2731630799 -
The
cube root of 137728030440 is 5164.2522292107
Scales and comparisons
How big is 137728030440?- 137,728,030,440 seconds is equal to 4,379 years, 16 weeks, 6 days, 10 hours, 14 minutes.
-
To count from 1 to 137,728,030,440 would take you about eight thousand, seven hundred fifty-eight 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 137728030440 cubic inches would be around 430.4 feet tall.
Recreational maths with 137728030440
- 137728030440 backwards is 044030827731
- 137728030440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137728030440's digits is 39
- More coming soon!
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