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144224223323130 = 23256121261802217
BaseRepresentation
bin100000110010101111010001…
…100110010110001111111010
3200220122200221002200020110200
4200302233101212112033322
5122400432202132320010
61230423405445023030
742243566463063426
oct4062572146261772
9626580832606420
10144224223323130
1141a5517116a225
12142137546b4a76
1362623941867a2
1427886bd87bb86
1511a190a321cc0
hex832bd19963fa

144224223323130 has 48 divisors (see below), whose sum is σ = 375044243791464. Its totient is φ = 38453509486080.

The previous prime is 144224223323113. The next prime is 144224223323143. The reversal of 144224223323130 is 31323322422441.

144224223323130 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 4 + 2 + 2 + 332 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113728083649569 + 30496139673561 = 10664337^2 + 5522331^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130350219 + ... + 131451998.

Almost surely, 2144224223323130 is an apocalyptic number.

144224223323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144224223323130 is an abundant number, since it is smaller than the sum of its proper divisors (230820020468334).

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

144224223323130 is a wasteful number, since it uses less digits than its factorization.

144224223323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261808351 (or 261808348 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144224223323130 its reverse (31323322422441), we get a palindrome (175547545745571).

The spelling of 144224223323130 in words is "one hundred forty-four trillion, two hundred twenty-four billion, two hundred twenty-three million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6121 12242 18363 30605 36726 55089 61210 91815 110178 183630 275445 550890 261802217 523604434 785406651 1309011085 1570813302 2356219953 2618022170 3927033255 4712439906 7854066510 11781099765 23562199530 1602491370257 3204982740514 4807474110771 8012456851285 9614948221542 14422422332313 16024913702570 24037370553855 28844844664626 48074741107710 72112111661565 144224223323130