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141463977984 = 21638747
BaseRepresentation
bin1000001110111111101…
…0010000000000000000
3111112010212102200000000
42003233322100000000
54304204234243414
6144553200000000
713135415654460
oct2035772200000
9445125380000
10141463977984
1154aa38004aa
1223500000000
1310455c81264
146bbdc35ba0
153a2e502b09
hex20efe90000

141463977984 has 612 divisors, whose sum is σ = 495309969024. Its totient is φ = 39558316032.

The previous prime is 141463977971. The next prime is 141463978067. The reversal of 141463977984 is 489779364141.

141463977984 is a `hidden beast` number, since 1 + 4 + 1 + 463 + 97 + 7 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3009871849 + ... + 3009871895.

Almost surely, 2141463977984 is an apocalyptic number.

141463977984 is a gapful number since it is divisible by the number (14) 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 141463977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247654984512).

141463977984 is an abundant number, since it is smaller than the sum of its proper divisors (353845991040).

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

141463977984 is an frugal number, since it uses more digits than its factorization.

141463977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 141463977984 in words is "one hundred forty-one billion, four hundred sixty-three million, nine hundred seventy-seven thousand, nine hundred eighty-four".