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141031135441200 = 243521710771641843
BaseRepresentation
bin100000000100010001011110…
…101110101111000100110000
3200111100110000022111020222010
4200010101132232233010300
5121441123231133104300
61215540450442042520
741464110002650134
oct4004213656570460
9614313008436863
10141031135441200
1140a33a72311a24
1213998941aa9440
136090243380814
1426b7d2c8a53c4
1511488243b3a50
hex80445ebaf130

141031135441200 has 240 divisors, whose sum is σ = 478389583357056. Its totient is φ = 35392708300800.

The previous prime is 141031135441187. The next prime is 141031135441219. The reversal of 141031135441200 is 2144531130141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219407479 + ... + 220049321.

Almost surely, 2141031135441200 is an apocalyptic number.

141031135441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141031135441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239194791678528).

141031135441200 is an abundant number, since it is smaller than the sum of its proper divisors (337358447915856).

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

141031135441200 is a wasteful number, since it uses less digits than its factorization.

141031135441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652652 (or 652641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 141031135441200 its reverse (2144531130141), we get a palindrome (143175666571341).

The spelling of 141031135441200 in words is "one hundred forty-one trillion, thirty-one billion, one hundred thirty-five million, four hundred forty-one thousand, two hundred".