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141386446080 = 2834511151821
BaseRepresentation
bin1000001110101101001…
…0011111010100000000
3111111221110112122020000
42003223102133110000
54304024412233310
6144541350120000
713133454651105
oct2035322372400
9444843478200
10141386446080
1154a63a65650
122349a050000
1310442ba63a9
146bb3812aac
153a277da4c0
hex20eb49f500

141386446080 has 720 divisors, whose sum is σ = 556229697408. Its totient is φ = 34007040000.

The previous prime is 141386446001. The next prime is 141386446087. The reversal of 141386446080 is 80644683141.

141386446080 is a `hidden beast` number, since 1 + 4 + 1 + 38 + 6 + 4 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141386446087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172212070 + ... + 172212890.

Almost surely, 2141386446080 is an apocalyptic number.

141386446080 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 141386446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278114848704).

141386446080 is an abundant number, since it is smaller than the sum of its proper divisors (414843251328).

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

141386446080 is a wasteful number, since it uses less digits than its factorization.

141386446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 141386446080 in words is "one hundred forty-one billion, three hundred eighty-six million, four hundred forty-six thousand, eighty".