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2144214410144 = 25296137878293
BaseRepresentation
bin11111001100111101001…
…000110110001110100000
321120222120222200221120212
4133030331020312032200
5240112322342111034
64321012152153252
7310625426523302
oct37147510661640
97528528627525
102144214410144
117573a1153714
122a7691098828
131272772a9081
1475acdac5972
153ab98bc82ce
hex1f33d2363a0

2144214410144 has 48 divisors (see below), whose sum is σ = 4438578490920. Its totient is φ = 1018168488960.

The previous prime is 2144214410113. The next prime is 2144214410153. The reversal of 2144214410144 is 4410144124412.

It can be written as a sum of positive squares in 4 ways, for example, as 1534159686544 + 610054723600 = 1238612^2 + 781060^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2144214410144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18882539 + ... + 18995754.

Almost surely, 22144214410144 is an apocalyptic number.

It is an amenable number.

2144214410144 is an abundant number, since it is smaller than the sum of its proper divisors (2294364080776).

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

2144214410144 is a wasteful number, since it uses less digits than its factorization.

2144214410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37878393 (or 37878385 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 2144214410144 its reverse (4410144124412), we get a palindrome (6554358534556).

The spelling of 2144214410144 in words is "two trillion, one hundred forty-four billion, two hundred fourteen million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 61 116 122 232 244 464 488 928 976 1769 1952 3538 7076 14152 28304 56608 37878293 75756586 151513172 303026344 606052688 1098470497 1212105376 2196940994 2310575873 4393881988 4621151746 8787763976 9242303492 17575527952 18484606984 35151055904 36969213968 67006700317 73938427936 134013400634 268026801268 536053602536 1072107205072 2144214410144