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141145505280 = 29325133971187
BaseRepresentation
bin1000001101110011101…
…1010111111000000000
3111111022200011120120200
42003130323113320000
54303031222132110
6144501422005200
713124500666563
oct2033473277000
9444280146520
10141145505280
115494aa5a21a
1223431416800
1310404cb6280
146b8d8144da
153a115956c0
hex20dced7e00

141145505280 has 480 divisors, whose sum is σ = 528199255584. Its totient is φ = 34626797568.

The previous prime is 141145505251. The next prime is 141145505287. The reversal of 141145505280 is 82505541141.

141145505280 is a `hidden beast` number, since 1 + 4 + 1 + 145 + 505 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141145505287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118908847 + ... + 118910033.

Almost surely, 2141145505280 is an apocalyptic number.

141145505280 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 141145505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264099627792).

141145505280 is an abundant number, since it is smaller than the sum of its proper divisors (387053750304).

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

141145505280 is a wasteful number, since it uses less digits than its factorization.

141145505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 141145505280 in words is "one hundred forty-one billion, one hundred forty-five million, five hundred five thousand, two hundred eighty".