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141368186304 = 26333741199271
BaseRepresentation
bin1000001110101000110…
…0110101010111000000
3111111220012011221112000
42003222030311113000
54304010223430204
6144535454504000
713133143520442
oct2035214652700
9444805157460
10141368186304
1154a54723824
1223493b05000
131043c1820a7
146bb121c492
153a25dd0039
hex20ea3355c0

141368186304 has 448 divisors, whose sum is σ = 441057792000. Its totient is φ = 44341862400.

The previous prime is 141368186291. The next prime is 141368186389. The reversal of 141368186304 is 403681863141.

141368186304 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 6 + 8 + 1 + 8 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141368186304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521653689 + ... + 521653959.

It is an arithmetic number, because the mean of its divisors is an integer number (984504000).

Almost surely, 2141368186304 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 141368186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220528896000).

141368186304 is an abundant number, since it is smaller than the sum of its proper divisors (299689605696).

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

141368186304 is a wasteful number, since it uses less digits than its factorization.

141368186304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 141368186304 in words is "one hundred forty-one billion, three hundred sixty-eight million, one hundred eighty-six thousand, three hundred four".