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141403198464 = 21032112296091
BaseRepresentation
bin1000001110110001001…
…0011001010000000000
3111111222122001202011200
42003230102121100000
54304043204322324
6144543145141200
713134050232633
oct2035422312000
9444878052150
10141403198464
1154a724679a0
12234a378a800
13104464c0548
146bb5b33c1a
153a28ee8ec9
hex20ec499400

141403198464 has 264 divisors, whose sum is σ = 447435225120. Its totient is φ = 42655334400.

The previous prime is 141403198421. The next prime is 141403198523. The reversal of 141403198464 is 464891304141.

141403198464 is a `hidden beast` number, since 1 + 414 + 0 + 3 + 198 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23212059 + ... + 23218149.

Almost surely, 2141403198464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141403198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223717612560).

141403198464 is an abundant number, since it is smaller than the sum of its proper divisors (306032026656).

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

141403198464 is a wasteful number, since it uses less digits than its factorization.

141403198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 141403198464 in words is "one hundred forty-one billion, four hundred three million, one hundred ninety-eight thousand, four hundred sixty-four".