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444321000212141 = 131910716811873329
BaseRepresentation
bin110010100000110111000101…
…1011000100100011010101101
32011021012200011110102011111102
41211001232023120210122231
5431214223402023242031
64212554125525532445
7162406063406545133
oct14501561330443255
92137180143364442
10444321000212141
11119635529216858
1241a00477b74125
13160c03a13ca070
147ba1373251753
153657c1ee547cb
hex1941b8b6246ad

444321000212141 has 16 divisors (see below), whose sum is σ = 508391049499200. Its totient is φ = 384924651717888.

The previous prime is 444321000212137. The next prime is 444321000212153. The reversal of 444321000212141 is 141212000123444.

It is a cyclic number.

It is not a de Polignac number, because 444321000212141 - 22 = 444321000212137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444321000214141) 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 15 ways as a sum of consecutive naturals, for example, 8405910236 + ... + 8405963093.

It is an arithmetic number, because the mean of its divisors is an integer number (31774440593700).

Almost surely, 2444321000212141 is an apocalyptic number.

It is an amenable number.

444321000212141 is a deficient number, since it is larger than the sum of its proper divisors (64070049287059).

444321000212141 is a wasteful number, since it uses less digits than its factorization.

444321000212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811873468.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 444321000212141 its reverse (141212000123444), we get a palindrome (585533000335585).

The spelling of 444321000212141 in words is "four hundred forty-four trillion, three hundred twenty-one billion, two hundred twelve thousand, one hundred forty-one".

Divisors: 1 13 19 107 247 1391 2033 26429 16811873329 218554353277 319425593251 1798870446203 4152532712263 23385315800639 34178538477857 444321000212141