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141994829952 = 27361789513
BaseRepresentation
bin1000010000111110001…
…1010010100010000000
3111120111212022202000000
42010033203102202000
54311301134024302
6145122002000000
713154523066033
oct2041743224200
9446455282000
10141994829952
115524641a438
1223629946000
131050bc49051
146c3053d01a
153a60e1231c
hex210f8d2880

141994829952 has 224 divisors, whose sum is σ = 449080101180. Its totient is φ = 44546899968.

The previous prime is 141994829897. The next prime is 141994829953. The reversal of 141994829952 is 259928499141.

141994829952 is a `hidden beast` number, since 1 + 4 + 19 + 9 + 482 + 99 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141093389376 + 901440576 = 375624^2 + 30024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141994829952.

It is not an unprimeable number, because it can be changed into a prime (141994829953) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1541548 + ... + 1631060.

Almost surely, 2141994829952 is an apocalyptic number.

141994829952 is a gapful number since it is divisible by the number (12) 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 141994829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224540050590).

141994829952 is an abundant number, since it is smaller than the sum of its proper divisors (307085271228).

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

141994829952 is an frugal number, since it uses more digits than its factorization.

141994829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89562 (or 89535 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 141994829952 in words is "one hundred forty-one billion, nine hundred ninety-four million, eight hundred twenty-nine thousand, nine hundred fifty-two".