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144473472 = 27321113877
BaseRepresentation
bin10001001110001…
…11110110000000
3101001212000100100
420213013312000
5243441122342
622200322400
73403001313
oct1047076600
9331760310
10144473472
1174608070
1240473400
1323c15580
141528a97a
15ca3be4c
hex89c7d80

144473472 has 192 divisors, whose sum is σ = 488975760. Its totient is φ = 40366080.

The previous prime is 144473467. The next prime is 144473479. The reversal of 144473472 is 274374441.

It is a happy number.

144473472 is a `hidden beast` number, since 144 + 47 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1444734722 = 41745168223469568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144473479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164298 + ... + 165174.

Almost surely, 2144473472 is an apocalyptic number.

144473472 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 144473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244487880).

144473472 is an abundant number, since it is smaller than the sum of its proper divisors (344502288).

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

144473472 is a wasteful number, since it uses less digits than its factorization.

144473472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 906 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 144473472 is about 12019.7118101891. The cubic root of 144473472 is about 524.7221168877.

The spelling of 144473472 in words is "one hundred forty-four million, four hundred seventy-three thousand, four hundred seventy-two".