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144152264134065 = 35117289311985377
BaseRepresentation
bin100000110001101100010000…
…011111110100110110110001
3200220101211012010202200110010
4200301230100133310312301
5122343242314104242230
61230330345205525133
742235441326055335
oct4061542037646661
9626354163680403
10144152264134065
1141a276a5075440
12142018117137a9
136258666b83785
1427850149917c5
15119eae7c109b0
hex831b107f4db1

144152264134065 has 32 divisors (see below), whose sum is σ = 251614697452416. Its totient is φ = 69891042191360.

The previous prime is 144152264133967. The next prime is 144152264134129. The reversal of 144152264134065 is 560431462251441.

It is not a de Polignac number, because 144152264134065 - 210 = 144152264133041 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6034657 + ... + 18020033.

It is an arithmetic number, because the mean of its divisors is an integer number (7862959295388).

Almost surely, 2144152264134065 is an apocalyptic number.

144152264134065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144152264134065 is a deficient number, since it is larger than the sum of its proper divisors (107462433318351).

144152264134065 is a wasteful number, since it uses less digits than its factorization.

144152264134065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058289.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 144152264134065 in words is "one hundred forty-four trillion, one hundred fifty-two billion, two hundred sixty-four million, one hundred thirty-four thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 165 72893 218679 364465 801823 1093395 2405469 4009115 11985377 12027345 35956131 59926885 131839147 179780655 395517441 659195735 1977587205 873650085661 2620950256983 4368250428305 9610150942271 13104751284915 28830452826813 48050754711355 144152264134065