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144220434312 = 23337162410399
BaseRepresentation
bin1000011001010000110…
…1010010111110001000
3111210020222012011020010
42012110031102332020
54330330412344222
6150130504231520
713263626315343
oct2062415227610
9453228164203
10144220434312
1156188747989
1223b4b16b5a0
13107a50739c6
146da1d6345a
153b414da80c
hex2194352f88

144220434312 has 32 divisors (see below), whose sum is σ = 370295712000. Its totient is φ = 46774194624.

The previous prime is 144220434301. The next prime is 144220434343. The reversal of 144220434312 is 213434022441.

It is a super-3 number, since 3×1442204343123 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144220434312.

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, 81204312 + ... + 81206087.

It is an arithmetic number, because the mean of its divisors is an integer number (11571741000).

Almost surely, 2144220434312 is an apocalyptic number.

144220434312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144220434312 is an abundant number, since it is smaller than the sum of its proper divisors (226075277688).

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

144220434312 is a wasteful number, since it uses less digits than its factorization.

144220434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162410445 (or 162410441 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144220434312 its reverse (213434022441), we get a palindrome (357654456753).

The spelling of 144220434312 in words is "one hundred forty-four billion, two hundred twenty million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 162410399 324820798 487231197 649641596 974462394 1299283192 1948924788 3897849576 6009184763 12018369526 18027554289 24036739052 36055108578 48073478104 72110217156 144220434312