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144473172480 = 29335713103223
BaseRepresentation
bin1000011010001101000…
…1011010101000000000
3111210220120202120211000
42012203101122220000
54331340113004410
6150211533252000
713303115463330
oct2064321325000
9453816676730
10144473172480
11562a83808aa
1223bbb934000
1310815534810
146dc77530c0
153b587b0dc0
hex21a345aa00

144473172480 has 1280 divisors, whose sum is σ = 640598999040. Its totient is φ = 30050942976.

The previous prime is 144473172421. The next prime is 144473172499. The reversal of 144473172480 is 84271374441.

144473172480 is a `hidden beast` number, since 1 + 4 + 4 + 473 + 172 + 4 + 8 + 0 = 666.

144473172480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 647861649 + ... + 647861871.

It is an arithmetic number, because the mean of its divisors is an integer number (500467968).

Almost surely, 2144473172480 is an apocalyptic number.

144473172480 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 144473172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320299499520).

144473172480 is an abundant number, since it is smaller than the sum of its proper divisors (496125826560).

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

144473172480 is a wasteful number, since it uses less digits than its factorization.

144473172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 144473172480 in words is "one hundred forty-four billion, four hundred seventy-three million, one hundred seventy-two thousand, four hundred eighty".