137918161920

Names of 137918161920

• Cardinal: 137918161920 can be written as One hundred thirty-seven billion, nine hundred eighteen million, one hundred sixty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3791816192 × 10¹¹

Factors of 137918161920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 10629

Divisors of 137918161920

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 121 128 132 140 154 160 165 168 176 192 210 220 224 231 240 242 256 264 280 308 320 330 336 352 363 384 385 420 440 448 462 480 484 512 528 560 605 616 640 660 672 704 726 768 770 840 847 880 896 924 960 968 1024 1056 1120 1155 1210 1232 1280 1320 1344 1408 1452 1536 1540 1680 1694 1760 1792 1815 1848 1920 1936 2112 2240 2310 2420 2464 2541 2560 2640 2688 2816 2904 3072 3080 3360 3388 3520 3584 3630 3696 3840 3872 4224 4235 4480 4620 4840 4928 5082 5120 5280 5376 5632 5808 6160 6720 6776 7040 7168 7260 7392 7680 7744 8448 8470 8960 9240 9680 9856 10164 10560 10601 10752 11264 11616 12320 12705 13440 13552 14080 14520 14784 15360 15488 16896 16940 17920 18480 19360 19712 20328 21120 21202 21504 23232 24640 25410 26880 27104 28160 29040 29568 30976 31803 33792 33880 35840 36960 38720 39424 40656 42240 42404 46464 49280 50820 53005 53760 54208 56320 58080 59136 61952 63606 67760 73920 74207 77440 78848 81312 84480 84808 92928 98560 101640 106010 107520 108416 116160 116611 118272 123904 127212 135520 147840 148414 154880 159015 162624 168960 169616 185856 197120 203280 212020 216832 222621 232320 233222 236544 254424 271040 295680 296828 309760 318030 325248 339232 349833 371035 371712 394240 406560 424040 433664 445242 464640 466444 508848 542080 583055 591360 593656 619520 636060 650496 678464 699666 742070 813120 816277 848080 867328 890484 929280 932888 1017696 1084160 1113105 1166110 1182720 1187312 1272120 1282721 1300992 1356928 1399332 1484140 1626240 1632554 1696160 1749165 1780968 1858560 1865776 2035392 2168320 2226210 2332220 2374624 2448831 2544240 2565442 2601984 2713856 2798664 2968280 3252480 3265108 3392320 3498330 3561936 3731552 3848163 4070784 4081385 4336640 4452420 4664440 4749248 4897662 5088480 5130884 5427712 5597328 5936560 6413605 6504960 6530216 6784640 6996660 7123872 7463104 7696326 8141568 8162770 8904840 8979047 9328880 9498496 9795324 10176960 10261768 10855424 11194656 11873120 12244155 12827210 13009920 13060432 13569280 13993320 14247744 14926208 15392652 16283136 16325540 17809680 17958094 18657760 18996992 19240815 19590648 20353920 20523536 22389312 23746240 24488310 25654420 26120864 26937141 27138560 27986640 28495488 29852416 30785304 32566272 32651080 35619360 35916188 37315520 37993984 38481630 39181296 40707840 41047072 44778624 44895235 47492480 48976620 51308840 52241728 53874282 54277120 55973280 56990976 59704832 61570608 65302160 71238720 71832376 74631040 75987968 76963260 78362592 81415680 82094144 89557248 89790470 94984960 97953240 102617680 104483456 107748564 111946560 113981952 119409664 123141216 130604320 134685705 142477440 143664752 149262080 153926520 156725184 162831360 164188288 179114496 179580940 189969920 195906480 205235360 208966912 215497128 223893120 227963904 246282432 261208640 269371410 284954880 287329504 298524160 307853040 313450368 328376576 358228992 359161880 379939840 391812960 410470720 417933824 430994256 447786240 492564864 522417280 538742820 569909760 574659008 597048320 615706080 626900736 656753152 718323760 783625920 820941440 835867648 861988512 895572480 985129728 1044834560 1077485640 1139819520 1149318016 1231412160 1253801472 1313506304 1436647520 1567251840 1641882880 1723977024 1791144960 1970259456 2089669120 2154971280 2298636032 2462824320 2507602944 2873295040 3134503680 3283765760 3447954048 3940518912 4179338240 4309942560 4597272064 4925648640 5746590080 6269007360 6567531520 6895908096 8619885120 9194544128 9851297280 11493180160 12538014720 13791816192 17239770240 19702594560 22986360320 27583632384 34479540480 45972720640 68959080960 137918161920
• Sum of all divisors σ(n): 554189779584
• Sum of proper divisors (its aliquot sum) s(n): 416271617664
• 137918161920 is an abundant number, because the sum of its proper divisors (416271617664) is greater than itself. Its abundance is 278353455744

Bases of 137918161920

• Binary: 10000000011100100100000010010000000000₂
• Hexadecimal: 0x201C902400
• Base-36: 1RCWWUTC

Squares and roots of 137918161920

• 137918161920 squared (137918161920²) is 19021419387391338086400
• 137918161920 cubed (137918161920³) is 2623399199018465772605578149888000
• The square root of 137918161920 is 371373.3457317581
• The cube root of 137918161920 is 5166.6275274363

Scales and comparisons

• 137,918,161,920 seconds is equal to 4,385 years, 19 weeks, 2 days, 32 minutes.
• To count from 1 to 137,918,161,920 would take you about eight thousand, seven hundred seventy 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 137918161920 cubic inches would be around 430.6 feet tall.

Recreational maths with 137918161920

• 137918161920 backwards is 029161819731
• 137918161920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137918161920's digits is 48
• More coming soon!