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144134405411300 = 22521441344054113
BaseRepresentation
bin100000110001011011101000…
…000010001101000111100100
3200220100010002112102120100122
4200301123220002031013210
5122342444230241130200
61230314233131301112
742234236634323243
oct4061335002150744
9626303075376318
10144134405411300
1141a20070307727
12141ba2688aa798
136256a7bcb99b5
1427841dcc1c95a
15119e3eee62385
hex8316e808d1e4

144134405411300 has 18 divisors (see below), whose sum is σ = 312771659742738. Its totient is φ = 57653762164480.

The previous prime is 144134405411279. The next prime is 144134405411327. The reversal of 144134405411300 is 3114504431441.

It can be written as a sum of positive squares in 3 ways, for example, as 12852124620196 + 131282280791104 = 3584986^2 + 11457848^2 .

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 5 ways as a sum of consecutive naturals, for example, 720672026957 + ... + 720672027156.

It is an arithmetic number, because the mean of its divisors is an integer number (17376203319041).

Almost surely, 2144134405411300 is an apocalyptic number.

144134405411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144134405411300 is an abundant number, since it is smaller than the sum of its proper divisors (168637254331438).

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

144134405411300 is a wasteful number, since it uses less digits than its factorization.

144134405411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441344054127 (or 1441344054120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 144134405411300 its reverse (3114504431441), we get a palindrome (147248909842741).

The spelling of 144134405411300 in words is "one hundred forty-four trillion, one hundred thirty-four billion, four hundred five million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1441344054113 2882688108226 5765376216452 7206720270565 14413440541130 28826881082260 36033601352825 72067202705650 144134405411300