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144114080 = 2551181883
BaseRepresentation
bin10001001011100…
…00000110100000
3101001011202100112
420211300012200
5243343122310
622144510452
73366643445
oct1045600640
9331152315
10144114080
1174392050
124031b428
1323b1ab06
14151d59cc
15c9ba705
hex89701a0

144114080 has 48 divisors (see below), whose sum is σ = 371425824. Its totient is φ = 52404480.

The previous prime is 144114073. The next prime is 144114121. The reversal of 144114080 is 80411441.

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, 39182 + ... + 42701.

It is an arithmetic number, because the mean of its divisors is an integer number (7738038).

Almost surely, 2144114080 is an apocalyptic number.

144114080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144114080 is an abundant number, since it is smaller than the sum of its proper divisors (227311744).

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

144114080 is a wasteful number, since it uses less digits than its factorization.

144114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81909 (or 81901 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 144114080 is about 12004.7523922820. The cubic root of 144114080 is about 524.2866562777.

The spelling of 144114080 in words is "one hundred forty-four million, one hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 81883 163766 327532 409415 655064 818830 900713 1310128 1637660 1801426 2620256 3275320 3602852 4503565 6550640 7205704 9007130 13101280 14411408 18014260 28822816 36028520 72057040 144114080