146888768400

Names of 146888768400

• Cardinal: 146888768400 can be written as One hundred forty-six billion, eight hundred eighty-eight million, seven hundred sixty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.468887684 × 10¹¹

Factors of 146888768400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1496

Divisors of 146888768400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 89 97 100 110 120 132 150 165 176 178 194 200 220 240 264 267 275 291 300 330 356 388 400 440 445 485 528 534 550 582 600 660 712 776 825 880 890 970 979 1067 1068 1100 1164 1200 1289 1320 1335 1424 1455 1552 1650 1780 1940 1958 2134 2136 2200 2225 2328 2425 2578 2640 2670 2910 2937 3201 3300 3560 3867 3880 3916 4268 4272 4400 4450 4656 4850 4895 5156 5335 5340 5820 5874 6402 6445 6600 6675 7120 7275 7734 7760 7832 8536 8633 8900 9700 9790 10312 10670 10680 11640 11748 12804 12890 13200 13350 14179 14550 14685 15468 15664 16005 17072 17266 17800 19335 19400 19580 20624 21340 21360 23280 23496 24475 25608 25780 25899 26675 26700 28358 29100 29370 30936 32010 32225 34532 35600 38670 38800 39160 42537 42680 43165 46992 48950 51216 51560 51798 53350 53400 56716 58200 58740 61872 64020 64450 69064 70895 73425 77340 78320 80025 85074 85360 86330 94963 96675 97900 103120 103596 106700 106800 113432 114721 116400 117480 125033 128040 128900 129495 138128 141790 146850 154680 160050 170148 172660 189926 193350 195800 207192 212685 213400 215825 226864 229442 234960 250066 256080 257800 258990 283580 284889 293700 309360 320100 340296 344163 345320 354475 375099 379852 386700 391600 414384 425370 426800 431650 458884 474815 500132 515600 517980 567160 569778 573605 587400 625165 640200 647475 680592 688326 690640 708950 750198 759704 773400 850740 863300 917768 949630 1000264 1035960 1063425 1134320 1139556 1147210 1174800 1250330 1261931 1280400 1294950 1375363 1376652 1417900 1424445 1500396 1519408 1546800 1701480 1720815 1726600 1835536 1875495 1899260 2000528 2071920 2126850 2279112 2294420 2374075 2500660 2523862 2589900 2750726 2753304 2835800 2848890 2868025 3000792 3125825 3402960 3441630 3453200 3750990 3785793 3798520 4126089 4253700 4558224 4588840 4748150 5001320 5047724 5179800 5501452 5506608 5671600 5697780 5736050 6001584 6251650 6309655 6876815 6883260 7122225 7501980 7571586 7597040 8252178 8507400 8604075 9177680 9377475 9496300 10002640 10095448 10359600 11002904 11127937 11395560 11472100 12503300 12619310 13753630 13766520 14244450 15003960 15143172 16504356 17014800 17208150 18754950 18928965 18992600 20190896 20630445 22005808 22255874 22791120 22944200 25006600 25238620 27507260 27533040 28488900 30007920 30286344 31548275 33008712 33383811 34384075 34416300 37509900 37857930 37985200 41260890 44511748 45888400 50013200 50477240 55014520 55639685 56977800 60572688 63096550 66017424 66767622 68768150 68832600 75019800 75715860 82521780 89023496 94644825 100954480 103152225 110029040 111279370 113955600 122407307 126193100 133535244 137536300 137665200 150039600 151431720 165043560 166919055 178046992 189289650 206304450 222558740 244814614 252386200 267070488 275072600 278198425 302863440 330087120 333838110 367221921 378579300 412608900 445117480 489629228 504772400 534140976 550145200 556396850 612036535 667676220 734443842 757158600 825217800 834595275 890234960 979258456 1112793700 1224073070 1335352440 1468887684 1514317200 1650435600 1669190550 1836109605 1958516912 2225587400 2448146140 2670704880 2937775368 3060182675 3338381100 3672219210 4451174800 4896292280 5875550736 6120365350 6676762200 7344438420 9180548025 9792584560 12240730700 13353524400 14688876840 18361096050 24481461400 29377753680 36722192100 48962922800 73444384200 146888768400
• Sum of all divisors σ(n): 524835158400
• Sum of proper divisors (its aliquot sum) s(n): 377946390000
• 146888768400 is an abundant number, because the sum of its proper divisors (377946390000) is greater than itself. Its abundance is 231057621600

Bases of 146888768400

• Binary: 10001000110011010000001011101110010000₂
• Hexadecimal: 0x223340BB90
• Base-36: 1VH9S32O

Squares and roots of 146888768400

• 146888768400 squared (146888768400²) is 21576310282068838560000
• 146888768400 cubed (146888768400³) is 3169317643949348300096829504000000
• The square root of 146888768400 is 383260.7055256253
• The cube root of 146888768400 is 5276.3005967699

Scales and comparisons

• 146,888,768,400 seconds is equal to 4,670 years, 31 weeks, 4 days, 11 hours, 40 minutes.
• To count from 1 to 146,888,768,400 would take you about nine thousand, three hundred forty-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 146888768400 cubic inches would be around 439.7 feet tall.

Recreational maths with 146888768400

• 146888768400 backwards is 004867888641
• 146888768400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146888768400's digits is 60
• More coming soon!