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144189632675 = 52114725034457
BaseRepresentation
bin1000011001001001011…
…1110011000010100011
3111210011211020021022202
42012102113303002203
54330300021221200
6150123444123415
713263103440554
oct2062227630243
9453154207282
10144189632675
115617231a190
1223b4099656b
131079b87ab9a
146d9bc2632b
153b3d9541d5
hex21925f30a3

144189632675 has 48 divisors (see below), whose sum is σ = 199323528192. Its totient is φ = 102569990400.

The previous prime is 144189632651. The next prime is 144189632701. The reversal of 144189632675 is 576236981441.

It is a happy number.

It is not a de Polignac number, because 144189632675 - 26 = 144189632611 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144189632675.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32349047 + ... + 32353503.

It is an arithmetic number, because the mean of its divisors is an integer number (4152573504).

Almost surely, 2144189632675 is an apocalyptic number.

144189632675 is a deficient number, since it is larger than the sum of its proper divisors (55133895517).

144189632675 is a wasteful number, since it uses less digits than its factorization.

144189632675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7023 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The spelling of 144189632675 in words is "one hundred forty-four billion, one hundred eighty-nine million, six hundred thirty-two thousand, six hundred seventy-five".

Divisors: 1 5 11 25 47 55 235 275 517 1175 2503 2585 4457 12515 12925 22285 27533 49027 62575 111425 117641 137665 209479 245135 588205 688325 1047395 1225675 1294051 2304269 2941025 5236975 6470255 11155871 11521345 32351275 55779355 57606725 122714581 278896775 524325937 613572905 2621629685 3067864525 5767585307 13108148425 28837926535 144189632675