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144950764176 = 2432317272
BaseRepresentation
bin1000011011111110111…
…1010010001010010000
3111212010212102202110100
42012333233102022100
54333324343423201
6150331153532400
713321005111051
oct2067757221220
9455125382410
10144950764176
1156522a22589
1224113874100
131089047225a
147030d54728
153b8569e886
hex21bfbd2290

144950764176 has 45 divisors (see below), whose sum is σ = 405673605571. Its totient is φ = 48315398496.

The previous prime is 144950764169. The next prime is 144950764199. The reversal of 144950764176 is 671467059441.

It is a happy number.

The square root of 144950764176 is 380724.

It is a perfect power (a square), and thus also a powerful number.

144950764176 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 507 + 64 + 1 + 76 = 666.

144950764176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 4552825 + ... + 4584551.

Almost surely, 2144950764176 is an apocalyptic number.

144950764176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144950764176 is the 380724-th square number.

It is an amenable number.

144950764176 is an abundant number, since it is smaller than the sum of its proper divisors (260722841395).

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

144950764176 is an frugal number, since it uses more digits than its factorization.

144950764176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63468 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

It can be divided in two parts, 1449 and 50764176, that added together give a square (50765625 = 71252).

The spelling of 144950764176 in words is "one hundred forty-four billion, nine hundred fifty million, seven hundred sixty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 31727 63454 95181 126908 190362 253816 285543 380724 507632 571086 761448 1142172 1522896 2284344 4568688 1006602529 2013205058 3019807587 4026410116 6039615174 8052820232 9059422761 12079230348 16105640464 18118845522 24158460696 36237691044 48316921392 72475382088 144950764176