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144393088 = 277295557
BaseRepresentation
bin10001001101101…
…00001110000000
3101001200221002011
420212310032000
5243431034323
622154502304
73402215050
oct1046641600
9331627064
10144393088
1174562734
1240434994
1323bb7ac8
1415269560
15ca2320d
hex89b4380

144393088 has 64 divisors (see below), whose sum is σ = 340149600. Its totient is φ = 59738112.

The previous prime is 144393077. The next prime is 144393089. The reversal of 144393088 is 880393441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 144393088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144393089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23206 + ... + 28762.

Almost surely, 2144393088 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 144393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170074800).

144393088 is an abundant number, since it is smaller than the sum of its proper divisors (195756512).

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

144393088 is an equidigital number, since it uses as much as digits as its factorization.

144393088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 144393088 is about 12016.3675043667. The cubic root of 144393088 is about 524.6247816301.

The spelling of 144393088 in words is "one hundred forty-four million, three hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 5557 6496 11114 12992 22228 25984 38899 44456 77798 88912 155596 161153 177824 311192 322306 355648 622384 644612 711296 1128071 1244768 1289224 2256142 2489536 2578448 4512284 4979072 5156896 9024568 10313792 18049136 20627584 36098272 72196544 144393088