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144375792 = 243112711009
BaseRepresentation
bin10001001101011…
…11111111110000
3101001200001100120
420212233333300
5243430011132
622154250240
73402113451
oct1046577760
9331601316
10144375792
1174550740
1240426980
1323bacc82
1415263128
15ca1d02c
hex89afff0

144375792 has 80 divisors (see below), whose sum is σ = 408783360. Its totient is φ = 43545600.

The previous prime is 144375779. The next prime is 144375809. The reversal of 144375792 is 297573441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142584 + ... + 143592.

It is an arithmetic number, because the mean of its divisors is an integer number (5109792).

Almost surely, 2144375792 is an apocalyptic number.

144375792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144375792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204391680).

144375792 is an abundant number, since it is smaller than the sum of its proper divisors (264407568).

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

144375792 is a wasteful number, since it uses less digits than its factorization.

144375792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 144375792 is about 12015.6477977677. The cubic root of 144375792 is about 524.6038335532.

The spelling of 144375792 in words is "one hundred forty-four million, three hundred seventy-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1009 1084 1626 2018 2168 2981 3027 3252 4036 4336 5962 6054 6504 8072 8943 11099 11924 12108 13008 16144 17886 22198 23848 24216 33297 35772 44396 47696 48432 66594 71544 88792 133188 143088 177584 266376 273439 532752 546878 820317 1093756 1640634 2187512 3007829 3281268 4375024 6015658 6562536 9023487 12031316 13125072 18046974 24062632 36093948 48125264 72187896 144375792