45146607001600

Names of 45146607001600

• Cardinal: 45146607001600 can be written as Forty-five trillion, one hundred forty-six billion, six hundred seven million, one thousand, six hundred.

Scientific notation

• Scientific notation: 4.51466070016 × 10¹³

Factors of 45146607001600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 314

Divisors of 45146607001600

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 169 170 200 208 221 256 260 272 277 320 325 338 340 400 416 425 442 512 520 544 554 640 650 676 680 800 832 845 850 884 1024 1040 1088 1105 1108 1280 1300 1352 1360 1385 1600 1664 1690 1700 1768 2048 2080 2176 2210 2216 2560 2600 2704 2720 2770 2873 3200 3328 3380 3400 3536 3601 4096 4160 4225 4352 4420 4432 4709 5120 5200 5408 5440 5525 5540 5746 6400 6656 6760 6800 6925 7072 7202 8192 8320 8450 8704 8840 8864 9418 10240 10400 10816 10880 11050 11080 11492 12800 13312 13520 13600 13850 14144 14365 14404 16640 16900 17408 17680 17728 18005 18836 20480 20800 21632 21760 22100 22160 22984 23545 25600 26624 27040 27200 27700 28288 28730 28808 33280 33800 34816 35360 35456 36010 37672 40960 41600 43264 43520 44200 44320 45968 46813 47090 51200 53248 54080 54400 55400 56576 57460 57616 61217 66560 67600 69632 70720 70912 71825 72020 75344 76729 83200 86528 87040 88400 88640 90025 91936 93626 94180 102400 106496 108160 108800 110800 113152 114920 115232 117725 122434 133120 135200 139264 141440 141824 143650 144040 150688 153458 166400 173056 174080 176800 177280 180050 183872 187252 188360 204800 216320 217600 221600 226304 229840 230464 234065 235450 244868 266240 270400 282880 283648 287300 288080 301376 306085 306916 332800 346112 348160 353600 354560 360100 367744 374504 376720 383645 432640 435200 443200 452608 459680 460928 468130 470900 489736 532480 540800 565760 567296 574600 576160 602752 612170 613832 665600 692224 696320 707200 709120 720200 735488 749008 753440 767290 795821 865280 870400 886400 905216 919360 921856 936260 941800 979472 997477 1081600 1131520 1134592 1149200 1152320 1170325 1205504 1224340 1227664 1304393 1331200 1384448 1414400 1418240 1440400 1470976 1498016 1506880 1530425 1534580 1591642 1730560 1740800 1772800 1810432 1838720 1843712 1872520 1883600 1918225 1958944 1994954 2163200 2263040 2269184 2298400 2304640 2340650 2411008 2448680 2455328 2608786 2662400 2828800 2836480 2880800 2941952 2996032 3013760 3060850 3069160 3183284 3461120 3481600 3545600 3677440 3687424 3745040 3767200 3836450 3917888 3979105 3989908 4326400 4526080 4596800 4609280 4681300 4822016 4897360 4910656 4987385 5217572 5657600 5672960 5761600 5883904 5992064 6027520 6121700 6138320 6366568 6521965 6922240 7091200 7354880 7374848 7490080 7534400 7672900 7835776 7958210 7979816 8652800 9052160 9193600 9218560 9362600 9644032 9794720 9821312 9974770 10435144 11315200 11345920 11523200 11767808 11984128 12055040 12243400 12276640 12733136 12967201 13043930 14182400 14709760 14749696 14980160 15068800 15345800 15671552 15916420 15959632 16957109 17305600 18387200 18437120 18725200 19288064 19589440 19642624 19895525 19949540 20870288 22630400 23046400 23535616 23968256 24110080 24486800 24553280 24936925 25466272 25934402 26087860 28364800 29419520 29499392 29960320 30137600 30691600 31343104 31832840 31919264 32609825 33914218 34611200 36774400 36874240 37450400 38576128 39178880 39285248 39791050 39899080 41740576 45260800 46092800 47936512 48220160 48973600 49106560 49873850 50932544 51868804 52175720 56729600 58839040 59920640 60275200 61383200 62686208 63665680 63838528 64836005 65219650 67828436 73548800 73748480 74900800 78357760 78570496 79582100 79798160 83481152 84785545 92185600 95873024 96440320 97947200 98213120 99747700 101865088 103737608 104351440 117678080 119841280 120550400 122766400 125372416 127331360 127677056 129672010 130439300 135656872 147097600 147496960 149801600 156715520 157140992 159164200 159596320 166962304 169571090 184371200 191746048 192880640 195894400 196426240 199495400 203730176 207475216 208702880 220442417 239682560 241100800 245532800 250744832 254662720 255354112 259344020 260878600 271313744 294195200 299603200 313431040 314281984 318328400 319192640 324180025 333924608 339142180 368742400 383492096 391788800 392852480 398990800 407460352 414950432 417405760 423927725 440884834 479365120 482201600 491065600 501489664 509325440 510708224 518688040 521757200 542627488 588390400 599206400 626862080 628563968 636656800 638385280 648360050 667849216 678284360 737484800 783577600 785704960 797981600 814920704 829900864 834811520 847855450 881769668 958730240 964403200 982131200 1018650880 1021416448 1037376080 1043514400 1085254976 1102212085 1198412800 1253724160 1273313600 1276770560 1296720100 1335698432 1356568720 1567155200 1571409920 1595963200 1629841408 1659801728 1669623040 1695710900 1763539336 1917460480 1964262400 2037301760 2042832896 2074752160 2087028800 2170509952 2204424170 2396825600 2507448320 2546627200 2553541120 2593440200 2671396864 2713137440 3134310400 3142819840 3191926400 3259682816 3319603456 3339246080 3391421800 3527078672 3928524800 4074603520 4085665792 4149504320 4174057600 4341019904 4408848340 4793651200 5093254400 5107082240 5186880400 5342793728 5426274880 5511060425 6268620800 6383852800 6519365632 6639206912 6678492160 6782843600 7054157344 7857049600 8149207040 8171331584 8299008640 8348115200 8682039808 8817696680 9587302400 10186508800 10214164480 10373760800 10685587456 10852549760 11022120850 12537241600 12767705600 13278413824 13356984320 13565687200 14108314688 15714099200 16298414080 16598017280 16696230400 17364079616 17635393360 20373017600 20428328960 20747521600 21705099520 22044241700 25535411200 26556827648 26713968640 27131374400 28216629376 32596828160 33196034560 33392460800 34728159232 35270786720 40746035200 40856657920 41495043200 43410199040 44088483400 51070822400 53113655296 53427937280 54262748800 56433258752 66392069120 66784921600 69456318464 70541573440 81492070400 82990086400 86820398080 88176966800 102141644800 106227310592 108525497600 112866517504 132784138240 133569843200 138912636928 141083146880 162984140800 165980172800 173640796160 176353933600 204283289600 217050995200 225733035008 265568276480 267139686400 282166293760 331960345600 347281592320 352707867200 434101990400 451466070016 531136552960 564332587520 663920691200 694563184640 705415734400 868203980800 902932140032 1128665175040 1327841382400 1410831468800 1736407961600 1805864280064 2257330350080 2655682764800 2821662937600 3472815923200 4514660700160 5643325875200 9029321400320 11286651750400 22573303500800 45146607001600
• Sum of all divisors σ(n): 128827602509634
• Sum of proper divisors (its aliquot sum) s(n): 83680995508034
• 45146607001600 is an abundant number, because the sum of its proper divisors (83680995508034) is greater than itself. Its abundance is 38534388506434

Bases of 45146607001600

• Binary: 1010010000111110000011011110010010000000000000₂
• Hexadecimal: 0x290F83792000
• Base-36: G042C5ON4

Squares and roots of 45146607001600

• 45146607001600 squared (45146607001600²) is 2038216123756918142402560000
• 45146607001600 cubed (45146607001600³) is 92018542323578092704229481141764096000000
• The square root of 45146607001600 is 6719122.4874681367
• The cube root of 45146607001600 is 35607.5182438067

Scales and comparisons

• 45,146,607,001,600 seconds is equal to 1,435,522 years, 23 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 45,146,607,001,600 would take you about three million, five hundred eighty-eight thousand, eight hundred six 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 45146607001600 cubic inches would be around 2967.3 feet tall.

Recreational maths with 45146607001600

• 45146607001600 backwards is 00610070664154
• 45146607001600 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45146607001600's digits is 40
• More coming soon!