164742437731729408

Names of 164742437731729408

• Cardinal: 164742437731729408 can be written as One hundred sixty-four quadrillion, seven hundred forty-two trillion, four hundred thirty-seven billion, seven hundred thirty-one million, seven hundred twenty-nine thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.64742437731729408 × 10¹⁷

Factors of 164742437731729408

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 150

Divisors of 164742437731729408

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 16 32 47 64 94 101 128 188 202 256 376 404 512 752 808 1024 1504 1616 2048 2209 3008 3232 4096 4418 4747 6016 6464 8192 8836 9494 10201 12032 12928 16384 17672 18988 20402 24064 25856 32768 35344 37976 40804 48128 51712 70688 75952 81608 96256 103424 103823 141376 151904 163216 192512 206848 207646 223109 282752 303808 326432 385024 413696 415292 446218 479447 565504 607616 652864 770048 827392 830584 892436 958894 1030301 1131008 1215232 1305728 1540096 1654784 1661168 1784872 1917788 2060602 2262016 2430464 2611456 3309568 3322336 3569744 3835576 4121204 4524032 4860928 4879681 5222912 6644672 7139488 7671152 8242408 9048064 9721856 9759362 10445824 10486123 13289344 14278976 15342304 16484816 18096128 19443712 19518724 20891648 20972246 22534009 26578688 28557952 30684608 32969632 36192256 38887424 39037448 41783296 41944492 45068018 48424147 53157376 57115904 61369216 65939264 72384512 77774848 78074896 83566592 83888984 90136036 96848294 106314752 114231808 122738432 131878528 155549696 156149792 167133184 167777968 180272072 193696588 212629504 228463616 245476864 263757056 312299584 334266368 335555936 360544144 387393176 425259008 456927232 490953728 492847781 527514112 624599168 671111872 721088288 774786352 850518016 913854464 981907456 985695562 1055028224 1059098423 1249198336 1342223744 1442176576 1549572704 1701036032 1827708928 1963814912 1971391124 2110056448 2118196846 2275934909 2498396672 2684447488 2884353152 3099145408 3402072064 3655417856 3927629824 3942782248 4220112896 4236393692 4551869818 4996793344 5368894976 5768706304 6198290816 7310835712 7855259648 7885564496 8440225792 8472787384 9103739636 9993586688 10737789952 11537412608 12396581632 15710519296 15771128992 16880451584 16945574768 18207479272 19987173376 21475579904 23074825216 24793163264 31542257984 33760903168 33891149536 36414958544 39974346752 42951159808 46149650432 49586326528 49777625881 63084515968 67782299072 72829917088 79948693504 85902319616 92299300864 99172653056 99555251762 106968940723 126169031936 135564598144 145659834176 159897387008 171804639232 184598601728 198345306112 199110503524 213937881446 252338063872 271129196288 291319668352 343609278464 369197203456 396690612224 398221007048 427875762892 504676127744 542258392576 582639336704 738394406912 793381224448 796442014096 855751525784 1009352255488 1084516785152 1165278673408 1586762448896 1592884028192 1711503051568 2018704510976 2169033570304 2330557346816 3185768056384 3423006103136 4037409021952 4338067140608 4661114693632 5027540213981 6371536112768 6846012206272 8074818043904 8676134281216 9322229387264 10055080427962 12743072225536 13692024412544 16149636087808 17352268562432 18644458774528 20110160855924 25486144451072 27384048825088 34704537124864 37288917549056 40220321711848 50972288902144 54768097650176 74577835098112 80440643423696 101944577804288 109536195300352 160881286847392 203889155608576 219072390600704 321762573694784 407778311217152 438144781201408 643525147389568 815556622434304 876289562402816 1287050294779136 1631113244868608 1752579124805632 2574100589558272 3505158249611264 5148201179116544 10296402358233088 20592804716466176 41185609432932352 82371218865864704 164742437731729408
• Sum of all divisors σ(n): 340008873096069540
• Sum of proper divisors (its aliquot sum) s(n): 175266435364340132
• 164742437731729408 is an abundant number, because the sum of its proper divisors (175266435364340132) is greater than itself. Its abundance is 10523997632610724

Bases of 164742437731729408

• Binary: 1001001001010010000101111111010000011011101000000000000000₂
• Hexadecimal: 0x249485FD06E8000
• Base-36: 1924BJ3HS0SG

Squares and roots of 164742437731729408

• 164742437731729408 squared (164742437731729408²) is 27140070789792741332402518532030464
• 164742437731729408 cubed (164742437731729408³) is 4471121422122158864103753025760387300752448460685312
• The square root of 164742437731729408 is 405884759.1764556611
• The cube root of 164742437731729408 is 548195.1168773883

Scales and comparisons

• 164,742,437,731,729,408 seconds is equal to 5,238,299,938 years, 2 weeks, 4 days, 13 hours, 43 minutes, 28 seconds.
• To count from 1 to 164,742,437,731,729,408 would take you about fifteen billion, seven hundred fourteen million, eight hundred ninety-nine thousand, eight hundred fourteen 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 164742437731729408 cubic inches would be around 45682.9 feet tall.

Recreational maths with 164742437731729408

• 164742437731729408 backwards is 804927137734247461
• The number of decimal digits it has is: 18
• The sum of 164742437731729408's digits is 79
• More coming soon!