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145471432900 = 22521454714329
BaseRepresentation
bin1000011101111011000…
…1011110100011000100
3111220111011011110200011
42013132301132203010
54340411141323100
6150454553400004
713336626530503
oct2073661364304
9456434143604
10145471432900
115676a916712
122423a109004
13109442b2c61
14708016a83a
153bb624bbba
hex21dec5e8c4

145471432900 has 18 divisors (see below), whose sum is σ = 315673009610. Its totient is φ = 58188573120.

The previous prime is 145471432871. The next prime is 145471432957. The reversal of 145471432900 is 9234174541.

145471432900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8087045184 + 137384387716 = 89928^2 + 370654^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 727357065 + ... + 727357264.

Almost surely, 2145471432900 is an apocalyptic number.

145471432900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145471432900 is an abundant number, since it is smaller than the sum of its proper divisors (170201576710).

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

145471432900 is a wasteful number, since it uses less digits than its factorization.

145471432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454714343 (or 1454714336 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 145471432900 in words is "one hundred forty-five billion, four hundred seventy-one million, four hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1454714329 2909428658 5818857316 7273571645 14547143290 29094286580 36367858225 72735716450 145471432900