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141649963840 = 26571123249947
BaseRepresentation
bin1000001111101011111…
…1101110101101000000
3111112121211101201122001
42003322333232231000
54310044342320330
6145023442153344
713143134553340
oct2037277565500
9445554351561
10141649963840
1155089791420
1223552352854
131048566c868
146bda80ad20
153a409de9ca
hex20fafeeb40

141649963840 has 224 divisors, whose sum is σ = 438820706304. Its totient is φ = 42230876160.

The previous prime is 141649963781. The next prime is 141649963841. The reversal of 141649963840 is 48369946141.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141649963841) 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, 441747 + ... + 691693.

Almost surely, 2141649963840 is an apocalyptic number.

141649963840 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 141649963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219410353152).

141649963840 is an abundant number, since it is smaller than the sum of its proper divisors (297170742464).

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

141649963840 is a wasteful number, since it uses less digits than its factorization.

141649963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250005 (or 249995 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 141649963840 in words is "one hundred forty-one billion, six hundred forty-nine million, nine hundred sixty-three thousand, eight hundred forty".