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144427224088 = 23717307494167
BaseRepresentation
bin1000011010000010001…
…0001000110000011000
3111210210101022011110201
42012200202020300120
54331241332132323
6150203212351544
713302020102110
oct2064042106030
9453711264421
10144427224088
1156284448124
1223ba84755b4
1310808b67614
146dc15d2040
153b547368ad
hex21a0888c18

144427224088 has 64 divisors (see below), whose sum is σ = 328760087040. Its totient is φ = 58066481664.

The previous prime is 144427224083. The next prime is 144427224091. The reversal of 144427224088 is 880422724441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144427224083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45181 + ... + 539347.

It is an arithmetic number, because the mean of its divisors is an integer number (5136876360).

Almost surely, 2144427224088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144427224088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164380043520).

144427224088 is an abundant number, since it is smaller than the sum of its proper divisors (184332862952).

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

144427224088 is a wasteful number, since it uses less digits than its factorization.

144427224088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494504 (or 494500 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 46.

The spelling of 144427224088 in words is "one hundred forty-four billion, four hundred twenty-seven million, two hundred twenty-four thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 307 476 614 952 1228 2149 2456 4298 5219 8596 10438 17192 20876 36533 41752 73066 146132 292264 494167 988334 1976668 3459169 3953336 6918338 8400839 13836676 16801678 27673352 33603356 58805873 67206712 117611746 151709269 235223492 303418538 470446984 606837076 1061964883 1213674152 2123929766 2579057573 4247859532 5158115146 8495719064 10316230292 18053403011 20632460584 36106806022 72213612044 144427224088