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141485881680 = 243451113179853
BaseRepresentation
bin1000001111000100110…
…1110011100101010000
3111112012101122111020000
42003301031303211100
54304230341203210
6144555301250000
713136103102603
oct2036115634520
9445171574200
10141485881680
1155005101030
1223507403900
131045a680020
146bc2ad833a
153a313ccac0
hex20f1373950

141485881680 has 800 divisors, whose sum is σ = 581216549760. Its totient is φ = 31447388160.

The previous prime is 141485881619. The next prime is 141485881727. The reversal of 141485881680 is 86188584141.

141485881680 is a `hidden beast` number, since 1 + 4 + 1 + 48 + 588 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165868134 + ... + 165868986.

Almost surely, 2141485881680 is an apocalyptic number.

141485881680 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 141485881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290608274880).

141485881680 is an abundant number, since it is smaller than the sum of its proper divisors (439730668080).

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

141485881680 is a wasteful number, since it uses less digits than its factorization.

141485881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

It can be divided in two parts, 141485 and 881680, that added together give a triangular number (1023165 = T1430).

The spelling of 141485881680 in words is "one hundred forty-one billion, four hundred eighty-five million, eight hundred eighty-one thousand, six hundred eighty".