148264937168400
148,264,937,168,400 is an even composite number composed of five prime numbers multiplied together.
148264937168400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 148264937168400:
24 × 33 × 52 × 13 × 1056018071
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 1056018071)See below for interesting mathematical facts about the number 148264937168400 from the Numbermatics database.
Names of 148264937168400
- Cardinal: 148264937168400 can be written as One hundred forty-eight trillion, two hundred sixty-four billion, nine hundred thirty-seven million, one hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.482649371684 × 1014
Factors of 148264937168400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1056018094
Divisors of 148264937168400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 100 104 108 117 120 130 135 144 150 156 180 195 200 208 216 225 234 240 260 270 300 312 325 351 360 390 400 432 450 468 520 540 585 600 624 650 675 702 720 780 900 936 975 1040 1080 1170 1200 1300 1350 1404 1560 1755 1800 1872 1950 2160 2340 2600 2700 2808 2925 3120 3510 3600 3900 4680 5200 5400 5616 5850 7020 7800 8775 9360 10800 11700 14040 15600 17550 23400 28080 35100 46800 70200 140400 1056018071 2112036142 3168054213 4224072284 5280090355 6336108426 8448144568 9504162639 10560180710 12672216852 13728234923 15840271065 16896289136 19008325278 21120361420 25344433704 26400451775 27456469846 28512487917 31680542130 38016650556 41184704769 42240722840 47520813195 50688867408 52800903550 54912939692 57024975834 63361084260 68641174615 76033301112 79201355325 82369409538 84481445680 95041626390 105601807100 109825879384 114049951668 123554114307 126722168520 137282349230 142562439585 152066602224 158402710650 164738819076 190083252780 205923523845 211203614200 219651758768 228099903336 237604065975 247108228614 253444337040 274564698460 285124879170 316805421300 329477638152 343205873075 370662342921 380166505560 411847047690 422407228400 456199806672 475208131950 494216457228 549129396920 570249758340 617770571535 633610842600 658955276304 686411746150 712812197925 741324685842 760333011120 823694095380 950416263900 988432914456 1029617619225 1098258793840 1140499516680 1235541143070 1267221685200 1372823492300 1425624395850 1482649371684 1647388190760 1853311714605 1900832527800 1976865828912 2059235238450 2280999033360 2471082286140 2745646984600 2851248791700 2965298743368 3088852857675 3294776381520 3706623429210 3801665055600 4118470476900 4942164572280 5491293969200 5702497583400 5930597486736 6177705715350 7413246858420 8236940953800 9266558573025 9884329144560 11404995166800 12355411430700 14826493716840 16473881907600 18533117146050 24710822861400 29652987433680 37066234292100 49421645722800 74132468584200 148264937168400
- Sum of all divisors σ(n): 568306685627520
- Sum of proper divisors (its aliquot sum) s(n): 420041748459120
- 148264937168400 is an abundant number, because the sum of its proper divisors (420041748459120) is greater than itself. Its abundance is 271776811290720
Bases of 148264937168400
- Binary: 1000011011011000100111101110100110011110000100002
- Hexadecimal: 0x86D89EE99E10
- Base-36: 1GJZYZI3O0
Squares and roots of 148264937168400
- 148264937168400 squared (1482649371684002) is 21982491593549599809958560000
- 148264937168400 cubed (1482649371684003) is 3259232734922512606552470479007741504000000
-
The
square root of 148264937168400 is 12176409.0424229753 -
The
cube root of 148264937168400 is 52927.2690728463
Scales and comparisons
How big is 148264937168400?- 148,264,937,168,400 seconds is equal to 4,714,366 years, 20 weeks, 1 day, 9 hours.
-
To count from 1 to 148,264,937,168,400 would take you about eleven million, seven hundred eighty-five thousand, nine hundred fifteen 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 148264937168400 cubic inches would be around 4410.6 feet tall.
Recreational maths with 148264937168400
- 148264937168400 backwards is 004861739462841
- The number of decimal digits it has is: 15
- The sum of 148264937168400's digits is 63
- More coming soon!
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