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144464060420 = 22527532623757
BaseRepresentation
bin1000011010001010111…
…0101010000000000100
3111210212221121122102022
42012202232222000010
54331330244413140
6150211010102312
713302645152501
oct2064256520004
9453787548368
10144464060420
11562a3217879
1223bb887a998
1310813694174
146dc64604a8
153b57ab10b5
hex21a2baa004

144464060420 has 24 divisors (see below), whose sum is σ = 303484840344. Its totient is φ = 57764612096.

The previous prime is 144464060401. The next prime is 144464060431. The reversal of 144464060420 is 24060464441.

It can be written as a sum of positive squares in 4 ways, for example, as 80492498944 + 63971561476 = 283712^2 + 252926^2 .

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 7 ways as a sum of consecutive naturals, for example, 1256819 + ... + 1366938.

It is an arithmetic number, because the mean of its divisors is an integer number (12645201681).

Almost surely, 2144464060420 is an apocalyptic number.

144464060420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144464060420 is an abundant number, since it is smaller than the sum of its proper divisors (159020779924).

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

144464060420 is a wasteful number, since it uses less digits than its factorization.

144464060420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626519 (or 2626517 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 144464060420 in words is "one hundred forty-four billion, four hundred sixty-four million, sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2753 5506 11012 13765 27530 55060 2623757 5247514 10495028 13118785 26237570 52475140 7223203021 14446406042 28892812084 36116015105 72232030210 144464060420