137141399040
137,141,399,040 is an even composite number composed of six prime numbers multiplied together.
137141399040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137141399040:
29 × 3 × 5 × 17 × 292 × 1249
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 29 × 29 × 1249)See below for interesting mathematical facts about the number 137141399040 from the Numbermatics database.
Names of 137141399040
- Cardinal: 137141399040 can be written as One hundred thirty-seven billion, one hundred forty-one million, three hundred ninety-nine thousand and forty.
Scientific notation
- Scientific notation: 1.3714139904 × 1011
Factors of 137141399040
Divisors of 137141399040
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 32 34 40 48 51 58 60 64 68 80 85 87 96 102 116 120 128 136 145 160 170 174 192 204 232 240 255 256 272 290 320 340 348 384 408 435 464 480 493 510 512 544 580 640 680 696 768 816 841 870 928 960 986 1020 1088 1160 1249 1280 1360 1392 1479 1536 1632 1682 1740 1856 1920 1972 2040 2176 2320 2465 2498 2523 2560 2720 2784 2958 3264 3364 3480 3712 3747 3840 3944 4080 4205 4352 4640 4930 4996 5046 5440 5568 5916 6245 6528 6728 6960 7395 7424 7494 7680 7888 8160 8410 8704 9280 9860 9992 10092 10880 11136 11832 12490 12615 13056 13456 13920 14297 14790 14848 14988 15776 16320 16820 18560 18735 19720 19984 20184 21233 21760 22272 23664 24980 25230 26112 26912 27840 28594 29580 29976 31552 32640 33640 36221 37120 37470 39440 39968 40368 42466 42891 43520 44544 47328 49960 50460 53824 55680 57188 59160 59952 63104 63699 65280 67280 71485 72442 74240 74940 78880 79936 80736 84932 85782 94656 99920 100920 106165 107648 108663 111360 114376 118320 119904 126208 127398 130560 134560 142970 144884 149880 157760 159872 161472 169864 171564 181105 189312 199840 201840 212330 214455 215296 217326 222720 228752 236640 239808 252416 254796 269120 285940 289768 299760 315520 318495 319744 322944 339728 343128 362210 378624 399680 403680 424660 428910 430592 434652 457504 473280 479616 509592 538240 543315 571880 579536 599520 615757 631040 636990 639488 645888 679456 686256 724420 757248 799360 807360 849320 857820 869304 915008 946560 959232 1019184 1050409 1076480 1086630 1143760 1159072 1199040 1231514 1262080 1273980 1291776 1358912 1372512 1448840 1598720 1614720 1698640 1715640 1738608 1830016 1847271 1893120 1918464 2038368 2100818 2152960 2173260 2287520 2318144 2398080 2463028 2547960 2717824 2745024 2897680 3078785 3151227 3197440 3229440 3397280 3431280 3477216 3660032 3694542 3786240 4076736 4201636 4346520 4575040 4636288 4796160 4926056 5095920 5252045 5435648 5490048 5795360 6157570 6302454 6458880 6794560 6862560 6954432 7320064 7389084 8153472 8403272 8693040 9150080 9236355 9272576 9592320 9852112 10191840 10504090 10871296 10980096 11590720 12315140 12604908 13589120 13725120 13908864 14778168 15756135 16306944 16806544 17386080 17856953 18300160 18472710 18545152 19704224 20383680 21008180 21960192 23181440 24630280 25209816 27178240 27450240 27817728 29556336 31512270 32613888 33613088 34772160 35713906 36600320 36945420 39408448 40767360 42016360 46362880 49260560 50419632 53570859 54356480 54900480 55635456 59112672 63024540 67226176 69544320 71427812 73890840 78816896 81534720 84032720 89284765 92725760 98521120 100839264 107141718 109800960 118225344 126049080 134452352 139088640 142855624 147781680 157633792 163069440 168065440 178569530 197042240 201678528 214283436 236450688 252098160 267854295 268904704 278177280 285711248 295563360 315267584 336130880 357139060 394084480 403357056 428566872 472901376 504196320 535708590 537809408 571422496 591126720 672261760 714278120 788168960 806714112 857133744 945802752 1008392640 1071417180 1142844992 1182253440 1344523520 1428556240 1576337920 1613428224 1714267488 2016785280 2142834360 2285689984 2364506880 2689047040 2857112480 3428534976 4033570560 4285668720 4571379968 4729013760 5714224960 6857069952 8067141120 8571337440 9142759936 11428449920 13714139904 17142674880 22856899840 27428279808 34285349760 45713799680 68570699520 137141399040
- Sum of all divisors σ(n): 481157820000
- Sum of proper divisors (its aliquot sum) s(n): 344016420960
- 137141399040 is an abundant number, because the sum of its proper divisors (344016420960) is greater than itself. Its abundance is 206875021920
Bases of 137141399040
- Binary: 11111111011100100001110101110000000002
- Hexadecimal: 0x1FEE43AE00
- Base-36: 1R02G4QO
Squares and roots of 137141399040
- 137141399040 squared (1371413990402) is 18807763330648512921600
- 137141399040 cubed (1371413990403) is 2579322975978347172563741835264000
-
The
square root of 137141399040 is 370326.0712399277 -
The
cube root of 137141399040 is 5156.9096813397
Scales and comparisons
How big is 137141399040?- 137,141,399,040 seconds is equal to 4,360 years, 34 weeks, 6 days, 17 hours, 4 minutes.
-
To count from 1 to 137,141,399,040 would take you about eight thousand, seven hundred twenty-one 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 137141399040 cubic inches would be around 429.7 feet tall.
Recreational maths with 137141399040
- 137141399040 backwards is 040993141731
- The number of decimal digits it has is: 12
- The sum of 137141399040's digits is 42
- More coming soon!
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