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144245164315563 = 3510724181229423
BaseRepresentation
bin100000110011000010110001…
…110001111001001110101011
3200220201200222111211212200000
4200303002301301321032223
5122401303044031044223
61230441151431114043
742245240432426463
oct4063026161711653
9626650874755600
10144245164315563
1141a63037879843
1214217819812923
1362643507ab27c
142789708b10ba3
1511a22339b5543
hex8330b1c793ab

144245164315563 has 48 divisors (see below), whose sum is σ = 218100270076416. Its totient is φ = 95260364241120.

The previous prime is 144245164315543. The next prime is 144245164315573. The reversal of 144245164315563 is 365513461542441.

It is a happy number.

144245164315563 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 5 + 1 + 64 + 3 + 15 + 563 = 666.

It is not a de Polignac number, because 144245164315563 - 217 = 144245164184491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144245164315543) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 628615470 + ... + 628844892.

It is an arithmetic number, because the mean of its divisors is an integer number (4543755626592).

Almost surely, 2144245164315563 is an apocalyptic number.

144245164315563 is a deficient number, since it is larger than the sum of its proper divisors (73855105760853).

144245164315563 is a wasteful number, since it uses less digits than its factorization.

144245164315563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253726 (or 253714 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 144245164315563 in words is "one hundred forty-four trillion, two hundred forty-five billion, one hundred sixty-four million, three hundred fifteen thousand, five hundred sixty-three".

Divisors: 1 3 9 27 81 107 243 321 963 2889 8667 24181 26001 72543 217629 229423 652887 688269 1958661 2064807 2587367 5875983 6194421 7762101 18583263 23286303 24548261 55749789 69858909 73644783 209576727 220934349 628730181 662803047 1988409141 5547677563 5965227423 16643032689 49929098067 149787294201 449361882603 593601499241 1348085647809 1780804497723 5342413493169 16027240479507 48081721438521 144245164315563