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141385284096 = 2937293114627
BaseRepresentation
bin1000001110101100111…
…0000011101000000000
3111111221101100121021120
42003223032003220000
54304024113042341
6144541305152240
713133442041310
oct2035316035000
9444841317246
10141385284096
1154a63341631
122349978b680
131044288a524
146bb35cd440
153a2765b066
hex20eb383a00

141385284096 has 320 divisors, whose sum is σ = 459707719680. Its totient is φ = 37742100480.

The previous prime is 141385284091. The next prime is 141385284113. The reversal of 141385284096 is 690482583141.

It is not an unprimeable number, because it can be changed into a prime (141385284091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9658735 + ... + 9673361.

It is an arithmetic number, because the mean of its divisors is an integer number (1436586624).

Almost surely, 2141385284096 is an apocalyptic number.

141385284096 is a gapful number since it is divisible by the number (16) 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 141385284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229853859840).

141385284096 is an abundant number, since it is smaller than the sum of its proper divisors (318322435584).

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

141385284096 is a wasteful number, since it uses less digits than its factorization.

141385284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715 (or 14699 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 141385284096 in words is "one hundred forty-one billion, three hundred eighty-five million, two hundred eighty-four thousand, ninety-six".