137013110325
137,013,110,325 is an odd composite number composed of seven prime numbers multiplied together.
137013110325 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137013110325:
32 × 52 × 72 × 13 × 17 × 53 × 1061
(3 × 3 × 5 × 5 × 7 × 7 × 13 × 17 × 53 × 1061)See below for interesting mathematical facts about the number 137013110325 from the Numbermatics database.
Names of 137013110325
- Cardinal: 137013110325 can be written as One hundred thirty-seven billion, thirteen million, one hundred ten thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 1.37013110325 × 1011
Factors of 137013110325
Divisors of 137013110325
- Number of divisors d(n): 432
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Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 35 39 45 49 51 53 63 65 75 85 91 105 117 119 147 153 159 175 195 221 225 245 255 265 273 315 325 357 371 425 441 455 477 525 585 595 637 663 689 735 765 795 819 833 901 975 1061 1071 1105 1113 1225 1275 1325 1365 1547 1575 1785 1855 1911 1989 2067 2205 2275 2385 2499 2597 2703 2925 2975 3183 3185 3315 3339 3445 3675 3825 3975 4095 4165 4505 4641 4823 5305 5355 5525 5565 5733 6201 6307 6825 7427 7497 7735 7791 8109 8925 9275 9549 9555 9945 10335 10829 11025 11713 11925 12495 12985 13515 13793 13923 14469 15915 15925 16575 16695 17225 18037 18921 20475 20825 22281 22525 23205 23373 24115 26525 26775 27825 28665 31005 31535 32487 33761 35139 37135 37485 38675 38955 40545 41379 43407 44149 47745 47775 49725 51675 51989 54111 54145 56233 56763 58565 62475 64925 66843 67575 68965 69615 72345 79575 81991 83475 90185 94605 96551 97461 101283 105417 111405 116025 116865 120575 124137 126259 132447 143325 155025 155967 157675 162333 162435 168699 168805 175695 185675 187425 194775 202725 206895 217035 220745 234481 238725 245973 259945 270555 270725 281165 283815 289653 292825 303849 334215 344825 348075 361725 378777 393631 397341 409955 450925 467901 473025 482755 487305 506097 506415 527085 557025 573937 584325 620685 631295 662235 675857 703443 731029 737919 779835 811665 812175 843495 844025 868959 878475 883813 955961 1034475 1085175 1103725 1136331 1172405 1180893 1229865 1299725 1352775 1405825 1419075 1448265 1519245 1641367 1671075 1721811 1893885 1968155 1986705 2027571 2049775 2110329 2193087 2339505 2413775 2436525 2530485 2532075 2635425 2651439 2755417 2867883 2869685 3103425 3156475 3311175 3379285 3517215 3542679 3655145 3689595 3899175 4058325 4217475 4344795 4419065 4779805 4924101 5117203 5165433 5681655 5862025 5904465 6082713 6149325 6579261 6691727 7241325 7596225 7954317 8206835 8266251 8603649 8609055 9469425 9840775 9933525 10137855 10551645 10965435 11489569 11697525 12427493 12652425 13257195 13777085 14339415 14348425 14772303 15351609 16896425 17586075 17713395 18275725 18447975 20075181 21723975 22095325 23899025 24620505 24798753 25586015 25827165 28408275 29522325 30413565 32896305 33458635 34468707 35820421 37282479 39771585 41034175 41331255 43018245 43045275 46054827 46842089 50689275 52758225 54827175 57447845 60225543 62137465 66285975 68885425 71697075 73861515 76758045 86992451 88566975 100375905 103406121 107461263 111847437 123102525 123993765 127930075 129135825 140526267 152067825 164481525 167293175 172343535 179102105 186412395 198857925 206656275 215091225 230274135 234210445 260977353 287239225 301127715 310687325 322383789 369307575 383790225 421578801 434962255 501879525 517030605 537306315 559237185 608947157 619968825 702631335 782932059 861717675 895510525 932061975 1151370675 1171052225 1304886765 1505638575 1611918945 1826841471 2107894005 2174811275 2585153025 2686531575 2796185925 3044735785 3513156675 3914660295 5480524413 6524433825 8059594725 9134207355 10539470025 15223678925 19573301475 27402622065 45671036775 137013110325
- Sum of all divisors σ(n): 331969908816
- Sum of proper divisors (its aliquot sum) s(n): 194956798491
- 137013110325 is an abundant number, because the sum of its proper divisors (194956798491) is greater than itself. Its abundance is 57943688166
Bases of 137013110325
- Binary: 11111111001101001111000100110001101012
- Hexadecimal: 0x1FE69E2635
- Base-36: 1QXY2GJ9
Squares and roots of 137013110325
- 137013110325 squared (1370131103252) is 18772592400930621605625
- 137013110325 cubed (1370131103253) is 2572091273714963890722326765578125
-
The
square root of 137013110325 is 370152.8202310497 -
The
cube root of 137013110325 is 5155.3011718801
Scales and comparisons
How big is 137013110325?- 137,013,110,325 seconds is equal to 4,356 years, 30 weeks, 5 days, 21 hours, 18 minutes, 45 seconds.
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To count from 1 to 137,013,110,325 would take you about eight thousand, seven hundred thirteen 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 137013110325 cubic inches would be around 429.6 feet tall.
Recreational maths with 137013110325
- 137013110325 backwards is 523011310731
- The number of decimal digits it has is: 12
- The sum of 137013110325's digits is 27
- More coming soon!
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