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144220426160 = 24517151702281
BaseRepresentation
bin1000011001010000110…
…1010000111110110000
3111210020222011202001012
42012110031100332300
54330330412114120
6150130504130052
713263626252516
oct2062415207660
9453228152035
10144220426160
1156188741848
1223b4b166928
13107a5070095
146da1d604b6
153b414d81c5
hex2194350fb0

144220426160 has 80 divisors (see below), whose sum is σ = 357388500672. Its totient is φ = 53935104000.

The previous prime is 144220426159. The next prime is 144220426241. The reversal of 144220426160 is 61624022441.

144220426160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145781 + ... + 556500.

Almost surely, 2144220426160 is an apocalyptic number.

144220426160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144220426160 is an abundant number, since it is smaller than the sum of its proper divisors (213168074512).

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

144220426160 is a wasteful number, since it uses less digits than its factorization.

144220426160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702462 (or 702456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 144220426160 in words is "one hundred forty-four billion, two hundred twenty million, four hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 272 302 340 604 680 755 1208 1360 1510 2416 2567 3020 5134 6040 10268 12080 12835 20536 25670 41072 51340 102680 205360 702281 1404562 2809124 3511405 5618248 7022810 11236496 11938777 14045620 23877554 28091240 47755108 56182480 59693885 95510216 106044431 119387770 191020432 212088862 238775540 424177724 477551080 530222155 848355448 955102160 1060444310 1696710896 1802755327 2120888620 3605510654 4241777240 7211021308 8483554480 9013776635 14422042616 18027553270 28844085232 36055106540 72110213080 144220426160