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146421511236 = 22327111331131071
BaseRepresentation
bin1000100001011101100…
…1101111010001000100
3111222221100220110010200
42020113121233101010
54344332401324421
6151133133050500
713402314211260
oct2102731572104
9458840813120
10146421511236
1157108142620
1224464326a30
1310a660915a0
1471304010a0
153c1e86b726
hex221766f444

146421511236 has 288 divisors, whose sum is σ = 512980156416. Its totient is φ = 33973344000.

The previous prime is 146421511231. The next prime is 146421511259. The reversal of 146421511236 is 632115124641.

146421511236 is a `hidden beast` number, since 1 + 4 + 642 + 1 + 5 + 1 + 1 + 2 + 3 + 6 = 666.

146421511236 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1464215112363 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146421511236.

It is not an unprimeable number, because it can be changed into a prime (146421511231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1051581 + ... + 1182651.

Almost surely, 2146421511236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146421511236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256490078208).

146421511236 is an abundant number, since it is smaller than the sum of its proper divisors (366558645180).

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

146421511236 is a wasteful number, since it uses less digits than its factorization.

146421511236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131143 (or 131138 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 146421511236 its reverse (632115124641), we get a palindrome (778536635877).

The spelling of 146421511236 in words is "one hundred forty-six billion, four hundred twenty-one million, five hundred eleven thousand, two hundred thirty-six".