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141231444480 = 29365719569
BaseRepresentation
bin1000001110001000001…
…1001101001000000000
3111111112122212202000000
42003202003031020000
54303220222210410
6144514132000000
713126563320310
oct2034203151000
9444478782000
10141231444480
1154994517655
1223456160000
1310419a45a79
146b9adc5440
153a18dbddc0
hex20e20cd200

141231444480 has 1120 divisors, whose sum is σ = 611845660800. Its totient is φ = 30528700416.

The previous prime is 141231444443. The next prime is 141231444517. The reversal of 141231444480 is 84444132141.

141231444480 is a `hidden beast` number, since 1 + 4 + 123 + 14 + 44 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (141231444443) and next prime (141231444517).

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248209636 + ... + 248210204.

Almost surely, 2141231444480 is an apocalyptic number.

141231444480 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 141231444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305922830400).

141231444480 is an abundant number, since it is smaller than the sum of its proper divisors (470614216320).

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

141231444480 is an frugal number, since it uses more digits than its factorization.

141231444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 141231444480 in words is "one hundred forty-one billion, two hundred thirty-one million, four hundred forty-four thousand, four hundred eighty".