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141411213504 = 26331129325391
BaseRepresentation
bin1000001110110011000…
…0111110000011000000
3111112000012010221202000
42003230300332003000
54304102232313004
6144544033024000
713134205324251
oct2035460760300
9445005127660
10141411213504
1154a76a417a0
12234a63b5000
1310448068782
146bb6c1cb28
153a29a7dc39
hex20ecc3e0c0

141411213504 has 224 divisors, whose sum is σ = 455081518080. Its totient is φ = 42703948800.

The previous prime is 141411213499. The next prime is 141411213527. The reversal of 141411213504 is 405312114141.

It is a happy number.

141411213504 is a `hidden beast` number, since 1 + 4 + 141 + 1 + 2 + 13 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5556649 + ... + 5582039.

It is an arithmetic number, because the mean of its divisors is an integer number (2031613920).

Almost surely, 2141411213504 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 141411213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227540759040).

141411213504 is an abundant number, since it is smaller than the sum of its proper divisors (313670304576).

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

141411213504 is a wasteful number, since it uses less digits than its factorization.

141411213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25716 (or 25700 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 141411213504 its reverse (405312114141), we get a palindrome (546723327645).

The spelling of 141411213504 in words is "one hundred forty-one billion, four hundred eleven million, two hundred thirteen thousand, five hundred four".