146766985521984

Names of 146766985521984

• Cardinal: 146766985521984 can be written as One hundred forty-six trillion, seven hundred sixty-six billion, nine hundred eighty-five million, five hundred twenty-one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.46766985521984 × 10¹⁴

Factors of 146766985521984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 422798

Divisors of 146766985521984

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 144 162 178 192 216 243 251 267 288 324 356 432 486 502 534 576 648 712 753 801 864 972 1004 1068 1296 1424 1506 1602 1728 1944 2008 2136 2259 2403 2592 2848 3012 3204 3888 4016 4272 4518 4806 5184 5696 6024 6408 6777 7209 7776 8032 8544 9036 9612 12048 12816 13554 14418 15552 16064 17088 18072 19224 20331 21627 22339 24096 25632 27108 28836 36144 38448 40662 43254 44678 48192 51264 54216 57672 60993 67017 72288 76896 81324 86508 89356 108432 115344 121986 134034 144576 153792 162648 173016 178712 201051 216864 230688 243972 268068 325296 346032 357424 402102 422453 433728 461376 487944 536136 603153 650592 692064 714848 804204 844906 975888 1072272 1206306 1267359 1301184 1384128 1429696 1608408 1689812 1809459 1951776 2144544 2412612 2534718 3216816 3379624 3618918 3802077 3903552 4289088 4825224 5069436 5428377 6433632 6759248 7237836 7604154 9650448 10138872 10856754 11406231 12867264 13518496 14475672 15208308 19300896 20277744 21713508 22812462 27036992 28951344 30416616 34218693 37598317 38601792 40555488 43427016 45624924 57902688 60833232 68437386 75196634 81110976 86854032 91249848 102656079 106035703 112794951 115805376 121666464 136874772 150393268 173708064 182499696 205312158 212071406 225589902 243332928 273749544 300786536 318107109 338384853 347416128 364999392 410624316 424142812 451179804 547499088 601573072 636214218 676769706 729998784 821248632 848285624 902359608 954321327 1015154559 1094998176 1203146144 1272428436 1353539412 1642497264 1696571248 1804719216 1908642654 2030309118 2189996352 2406292288 2544856872 2707078824 2862963981 3045463677 3284994528 3393142496 3609438432 3817285308 4060618236 5089713744 5414157648 5725927962 6090927354 6569989056 6786284992 7218876864 7634570616 8121236472 8588891943 9136391031 9437177567 10179427488 10828315296 11451855924 12181854708 15269141232 16242472944 17177783886 18272782062 18874355134 20358854976 21656630592 22903711848 24363709416 25766675829 28311532701 30538282464 32484945888 34355567772 36545564124 37748710268 45807423696 48727418832 51533351658 56623065402 61076564928 64969891776 68711135544 73091128248 75497420536 84934598103 91614847392 97454837664 103066703316 113246130804 137422271088 146182256496 150994841072 169869196206 183229694784 194909675328 206133406632 226492261608 254803794309 274844542176 292364512992 301989682144 339738392412 412266813264 452984523216 509607588618 549689084352 584729025984 603979364288 679476784824 764411382927 824533626528 905969046432 1019215177236 1358953569648 1528822765854 1649067253056 1811938092864 2038430354472 2293234148781 2717907139296 3057645531708 4076860708944 4586468297562 5435814278592 6115291063416 8153721417888 9172936595124 12230582126832 16307442835776 18345873190248 24461164253664 36691746380496 48922328507328 73383492760992 146766985521984
• Sum of all divisors σ(n): 442922335652160
• Sum of proper divisors (its aliquot sum) s(n): 296155350130176
• 146766985521984 is an abundant number, because the sum of its proper divisors (296155350130176) is greater than itself. Its abundance is 149388364608192

Bases of 146766985521984

• Binary: 100001010111101111011010000010010110101101000000₂
• Hexadecimal: 0x857BDA096B40
• Base-36: 1G0VTLRO00

Squares and roots of 146766985521984

• 146766985521984 squared (146766985521984²) is 21540548039210261068947296256
• 146766985521984 cubed (146766985521984³) is 3161441302206373225851400709208293648891904
• The square root of 146766985521984 is 12114742.4868209229
• The cube root of 146766985521984 is 52748.4203112645

Scales and comparisons

• 146,766,985,521,984 seconds is equal to 4,666,736 years, 8 weeks, 2 days, 1 hour, 26 minutes, 24 seconds.
• To count from 1 to 146,766,985,521,984 would take you about eleven million, six hundred sixty-six thousand, eight hundred forty 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 146766985521984 cubic inches would be around 4395.7 feet tall.

Recreational maths with 146766985521984

• 146766985521984 backwards is 489125589667641
• 146766985521984 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146766985521984's digits is 81
• More coming soon!