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144284815101 = 3747672181869
BaseRepresentation
bin1000011001100000001…
…0111000111011111101
3111210102110100001001210
42012120002320323331
54330443403040401
6150141124155033
713265340456420
oct2063002707375
9453373301053
10144284815101
1156211020149
1223b68838a79
13107b54c594b
146daa7219b7
153b46ea64d6
hex21980b8efd

144284815101 has 32 divisors (see below), whose sum is σ = 227891957760. Its totient is φ = 79489814976.

The previous prime is 144284815099. The next prime is 144284815183. The reversal of 144284815101 is 101518482441.

144284815101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144284815101 - 21 = 144284815099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144284815101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144284810101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1024806 + ... + 1157063.

It is an arithmetic number, because the mean of its divisors is an integer number (7121623680).

Almost surely, 2144284815101 is an apocalyptic number.

It is an amenable number.

144284815101 is a deficient number, since it is larger than the sum of its proper divisors (83607142659).

144284815101 is a wasteful number, since it uses less digits than its factorization.

144284815101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181993.

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 144284815101 in words is "one hundred forty-four billion, two hundred eighty-four million, eight hundred fifteen thousand, one hundred one".

Divisors: 1 3 7 21 47 67 141 201 329 469 987 1407 3149 9447 22043 66129 2181869 6545607 15273083 45819249 102547843 146185223 307643529 438555669 717834901 1023296561 2153504703 3069889683 6870705481 20612116443 48094938367 144284815101