146125713825
146,125,713,825 is an odd composite number composed of six prime numbers multiplied together.
146125713825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 146125713825:
33 × 52 × 72 × 13 × 17 × 19991
(3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 17 × 19991)See below for interesting mathematical facts about the number 146125713825 from the Numbermatics database.
Names of 146125713825
- Cardinal: 146125713825 can be written as One hundred forty-six billion, one hundred twenty-five million, seven hundred thirteen thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.46125713825 × 1011
Factors of 146125713825
Divisors of 146125713825
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 27 35 39 45 49 51 63 65 75 85 91 105 117 119 135 147 153 175 189 195 221 225 245 255 273 315 325 351 357 425 441 455 459 525 585 595 637 663 675 735 765 819 833 945 975 1071 1105 1225 1275 1323 1365 1547 1575 1755 1785 1911 1989 2205 2275 2295 2457 2499 2925 2975 3185 3213 3315 3675 3825 4095 4165 4641 4725 5355 5525 5733 5967 6615 6825 7497 7735 8775 8925 9555 9945 10829 11025 11475 12285 12495 13923 15925 16065 16575 17199 19991 20475 20825 22491 23205 26775 28665 29835 32487 33075 37485 38675 41769 47775 49725 54145 59973 61425 62475 69615 80325 85995 97461 99955 112455 116025 139937 143325 149175 162435 179919 187425 208845 259883 270725 292383 299865 339847 348075 419811 429975 487305 499775 539757 562275 699685 779649 812175 899595 979559 1019541 1044225 1259433 1299415 1461915 1499325 1699235 1819181 2099055 2338947 2378929 2436525 2698785 2938677 3058623 3498425 3778299 3898245 4418011 4497975 4897795 5097705 5457543 6297165 6497075 7016841 7136787 7309575 8496175 8816031 9095905 9175869 10495275 11694735 11894645 12734267 13254033 13493925 14693385 15293115 16372629 16652503 18891495 19491225 21410361 22090055 24488975 25488525 26448093 27287715 30926077 31485825 35084205 35683935 38202801 39762099 44080155 45479525 45879345 49117887 49957509 58473675 59473225 63671335 64231083 66270165 73466925 76465575 81863145 83262515 92778231 94457475 107051805 110450275 114608403 119286297 132240465 136438575 149872527 154630385 175421025 178419675 191014005 198810495 216482539 220400775 229396725 245589435 249787545 278334693 318356675 321155415 331350825 343825209 409315725 416312575 449617581 463891155 535259025 573042015 596431485 649447617 661202325 749362635 773151925 835004079 955070025 994052475 1082412695 1227947175 1248937725 1391673465 1605777075 1719126045 1948342851 2248087905 2319455775 2865210075 2982157425 3247238085 3746813175 4175020395 5412063475 5845028553 6958367325 8595630225 9741714255 11240439525 16236190425 20875101975 29225142765 48708571275 146125713825
- Sum of all divisors σ(n): 356084709120
- Sum of proper divisors (its aliquot sum) s(n): 209958995295
- 146125713825 is an abundant number, because the sum of its proper divisors (209958995295) is greater than itself. Its abundance is 63833281470
Bases of 146125713825
- Binary: 100010000001011100010101110001101000012
- Hexadecimal: 0x2205C571A1
- Base-36: 1V4NH6E9
Squares and roots of 146125713825
- 146125713825 squared (1461257138252) is 21352724240865796130625
- 146125713825 cubed (1461257138253) is 3120182071804895695614501068390625
-
The
square root of 146125713825 is 382263.9321529041 -
The
cube root of 146125713825 is 5267.1483266135
Scales and comparisons
How big is 146125713825?- 146,125,713,825 seconds is equal to 4,646 years, 17 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
-
To count from 1 to 146,125,713,825 would take you about nine thousand, two hundred ninety-two 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 146125713825 cubic inches would be around 438.9 feet tall.
Recreational maths with 146125713825
- 146125713825 backwards is 528317521641
- 146125713825 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146125713825's digits is 45
- More coming soon!
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