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480147141 = 31733792441
BaseRepresentation
bin11100100111100…
…111011011000101
31020110111000001110
4130213213123011
51440404202031
6115351115233
714620116615
oct3447473305
91213430043
10480147141
11227037721
12114972b19
1378623946
1447aa8a45
152c245c46
hex1c9e76c5

480147141 has 16 divisors (see below), whose sum is σ = 645860160. Its totient is φ = 317278080.

The previous prime is 480147097. The next prime is 480147181. The reversal of 480147141 is 141741084.

It is not a de Polignac number, because 480147141 - 222 = 475952837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480147099 and 480147108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480147181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 195481 + ... + 197921.

It is an arithmetic number, because the mean of its divisors is an integer number (40366260).

Almost surely, 2480147141 is an apocalyptic number.

It is an amenable number.

480147141 is a deficient number, since it is larger than the sum of its proper divisors (165713019).

480147141 is a wasteful number, since it uses less digits than its factorization.

480147141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 480147141 is about 21912.2600614359. The cubic root of 480147141 is about 783.0535252740.

It can be divided in two parts, 48014 and 7141, that added together give a palindrome (55155).

The spelling of 480147141 in words is "four hundred eighty million, one hundred forty-seven thousand, one hundred forty-one".

Divisors: 1 3 173 379 519 1137 2441 7323 65567 196701 422293 925139 1266879 2775417 160049047 480147141