Search a number
-
+
200243121142032 = 243284471009916301
BaseRepresentation
bin101101100001111010111100…
…000110101011100100010000
3222021000001111101221201112100
4231201322330012223210100
5202221240403003021112
61545514230411200400
760115042133034003
oct5541727406534420
9867001441851470
10200243121142032
11588926a3614811
121a560560146100
138796acb17b7c7
143763b66a1153a
151823bb301d2dc
hexb61ebc1ab910

200243121142032 has 120 divisors (see below), whose sum is σ = 560558850508800. Its totient is φ = 66729102739200.

The previous prime is 200243121142021. The next prime is 200243121142037. The reversal of 200243121142032 is 230241121342002.

200243121142032 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 431 + 21 + 1 + 4 + 203 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200243121141987 and 200243121142005.

It is not an unprimeable number, because it can be changed into a prime (200243121142037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12284092282 + ... + 12284108582.

It is an arithmetic number, because the mean of its divisors is an integer number (4671323754240).

Almost surely, 2200243121142032 is an apocalyptic number.

It is an amenable number.

200243121142032 is an abundant number, since it is smaller than the sum of its proper divisors (360315729366768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200243121142032 is a wasteful number, since it uses less digits than its factorization.

200243121142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34861 (or 34852 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 200243121142032 its reverse (230241121342002), we get a palindrome (430484242484034).

The spelling of 200243121142032 in words is "two hundred trillion, two hundred forty-three billion, one hundred twenty-one million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8447 10099 16301 16894 20198 25341 30297 32602 33788 40396 48903 50682 60594 65204 67576 76023 80792 90891 97806 101364 121188 130408 135152 146709 152046 161584 181782 195612 202728 242376 260816 293418 304092 363564 391224 405456 484752 586836 608184 727128 782448 1173672 1216368 1454256 2347344 85306253 137694547 164623799 170612506 255918759 275389094 329247598 341225012 413083641 493871397 511837518 550778188 658495196 682450024 767756277 826167282 987742794 1023675036 1101556376 1239250923 1316990392 1364900048 1481614191 1535512554 1652334564 1975485588 2047350072 2203112752 2478501846 2633980784 2963228382 3071025108 3304669128 3950971176 4094700144 4957003692 5926456764 6142050216 6609338256 7901942352 9914007384 11852913528 12284100432 19828014768 23705827056 1390577230153 2781154460306 4171731690459 5562308920612 8343463380918 11124617841224 12515195071377 16686926761836 22249235682448 25030390142754 33373853523672 50060780285508 66747707047344 100121560571016 200243121142032