46315731931920

Names of 46315731931920

• Cardinal: 46315731931920 can be written as Forty-six trillion, three hundred fifteen billion, seven hundred thirty-one million, nine hundred thirty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.631573193192 × 10¹³

Factors of 46315731931920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 84216

Divisors of 46315731931920

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 33 36 38 40 44 45 48 54 55 57 60 66 72 76 80 88 90 95 99 108 110 114 120 132 135 144 152 165 171 176 180 190 198 209 216 220 228 240 264 270 285 297 304 330 342 360 380 396 418 432 440 456 495 513 528 540 570 594 627 660 684 720 760 792 836 855 880 912 990 1026 1045 1080 1140 1188 1237 1254 1320 1368 1485 1520 1584 1672 1710 1881 1980 2052 2090 2160 2280 2376 2474 2508 2565 2640 2736 2970 3135 3344 3420 3711 3762 3960 4104 4180 4560 4752 4948 5016 5130 5643 5940 6185 6270 6840 7422 7524 7920 8208 8360 9405 9896 10032 10260 11133 11286 11880 12370 12540 13607 13680 14844 15048 16720 18555 18810 19792 20520 22266 22572 23503 23760 24740 25080 27214 28215 29688 30096 33399 37110 37620 40821 41040 44532 45144 47006 49480 50160 54428 55665 56430 59376 66798 68035 70509 74220 75240 81642 82939 89064 90288 94012 98960 108856 111330 112860 117515 122463 133596 136070 141018 148440 150480 163284 165878 166995 178128 188024 204105 211527 217712 222660 225720 235030 244926 248817 258533 267192 272140 282036 296880 326568 331756 333990 352545 367389 376048 408210 414695 423054 445320 451440 470060 489852 497634 517066 534384 544280 564072 612315 634581 653136 663512 667980 705090 734778 746451 775599 816420 829390 846108 890640 912329 940120 979704 995268 1034132 1057635 1088560 1128144 1224630 1244085 1269162 1292665 1327024 1335960 1410180 1469556 1492902 1551198 1575841 1632840 1658780 1692216 1824658 1836945 1880240 1959408 1990536 2068264 2115270 2239353 2326797 2449260 2488170 2538324 2585330 2671920 2736987 2820360 2939112 2985804 3102396 3151682 3172905 3265680 3317560 3384432 3649316 3673890 3732255 3877995 3981072 4136528 4230540 4478706 4561645 4653594 4727523 4898520 4976340 5076648 5170660 5473974 5640720 5878224 5971608 6204792 6303364 6345810 6635120 6980391 7298632 7347780 7464510 7755990 7879205 8210961 8461080 8957412 9123290 9307188 9455046 9797040 9952680 10153296 10341320 10947948 11196765 11633985 11943216 12409584 12606728 12691620 13684935 13960782 14182569 14597264 14695560 14929020 15511980 15758410 16421922 16922160 17334251 17914824 18246580 18614376 18910092 19905360 20682640 21895896 22393530 23267970 23637615 24632883 25213456 25383240 27369870 27921564 28365138 29391120 29858040 31023960 31516820 32843844 34668502 34901955 35829648 36493160 37228752 37820184 41054805 42547707 43791792 44787060 46535940 47275230 49265766 50766480 52002753 54739740 55843128 56730276 59716080 62047920 63033640 65687688 69337004 69803910 70912845 72986320 75640368 82109610 85095414 86671255 89574120 93071880 94550460 98531532 102595543 104005506 109479480 111686256 113460552 123164415 126067280 131375376 138674008 139607820 141825690 156008259 164219220 170190828 173342510 179148240 186143760 189100920 197063064 205191086 208011012 212738535 218958960 226921104 246328830 260013765 277348016 279215640 283651380 307786629 312016518 328438440 340381656 346685020 378201840 394126128 410382172 416022024 425477070 468024777 492657660 512977715 520027530 558431280 567302760 615573258 624033036 656876880 680763312 693370040 780041295 820764344 832044048 850954140 923359887 936049554 985315320 1025955430 1040055060 1128550973 1134605520 1231146516 1248066072 1386740080 1538933145 1560082590 1641528688 1701908280 1846719774 1872099108 1949315317 1970630640 2051910860 2080110120 2257101946 2340123885 2462293032 2496132144 2770079661 3077866290 3120165180 3385652919 3403816560 3693439548 3744198216 3898630634 4103821720 4160220240 4514203892 4616799435 4680247770 4924586064 5540159322 5642754865 5847945951 6155732580 6240330360 6771305838 7386879096 7488396432 7797261268 8207643440 9028407784 9233598870 9360495540 9746576585 10156958757 11080318644 11285509730 11695891902 12311465160 12480660720 13542611676 13850398305 14773758192 15594522536 16928264595 17543837853 18056815568 18467197740 18720991080 19493153170 20313917514 21442468487 22160637288 22571019460 23391783804 24622930320 27085223352 27700796610 29239729755 30470876271 31189045072 33856529190 35087675706 36934395480 37441982160 38986306340 40627835028 42884936974 44321274576 45142038920 46783567608 50784793785 52631513559 54170446704 55401593220 58479459510 60941752542 64327405461 67713058380 70175351412 73868790960 77972612680 81255670056 85769873948 87719189265 90284077840 93567135216 101569587570 105263027118 107212342435 110803186440 116958919020 121883505084 128654810922 135426116760 140350702824 152354381355 155945225360 162511340112 171539747896 175438378530 192982216383 203139175140 210526054236 214424684870 221606372880 233917838040 243767010168 257309621844 263157567795 270852233520 280701405648 304708762710 321637027305 343079495792 350876757060 385964432766 406278350280 421052108472 428849369740 467835676080 487534020336 514619243688 526315135590 578946649149 609417525420 643274054610 701753514120 771928865532 812556700560 842104216944 857698739480 964911081915 1029238487376 1052630271180 1157893298298 1218835050840 1286548109220 1403507028240 1543857731064 1715397478960 1929822163830 2105260542360 2315786596596 2437670101680 2573096218440 2894733245745 3087715462128 3859644327660 4210521084720 4631573193192 5146192436880 5789466491490 7719288655320 9263146386384 11578932982980 15438577310640 23157865965960 46315731931920
• Sum of all divisors σ(n): 183344908032000
• Sum of proper divisors (its aliquot sum) s(n): 137029176100080
• 46315731931920 is an abundant number, because the sum of its proper divisors (137029176100080) is greater than itself. Its abundance is 90713444168160

Bases of 46315731931920

• Binary: 1010100001111110111000101111111101001100010000₂
• Hexadecimal: 0x2A1FB8BFD310
• Base-36: GF15IYEC0

Squares and roots of 46315731931920

• 46315731931920 squared (46315731931920²) is 2145147024389473935514886400
• 46315731931920 cubed (46315731931920³) is 99354054536178728997857374982991333888000
• The square root of 46315731931920 is 6805566.2462369729
• The cube root of 46315731931920 is 35912.2688677975

Scales and comparisons

• 46,315,731,931,920 seconds is equal to 1,472,697 years, 4 days, 4 hours, 12 minutes.
• To count from 1 to 46,315,731,931,920 would take you about three million, six hundred eighty-one thousand, seven hundred forty-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 46315731931920 cubic inches would be around 2992.7 feet tall.

Recreational maths with 46315731931920

• 46315731931920 backwards is 02913913751364
• 46315731931920 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46315731931920's digits is 54
• More coming soon!