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144378045 = 3457127401
BaseRepresentation
bin10001001101100…
…00100010111101
3101001200011110000
420212300202331
5243430044140
622154304513
73402123150
oct1046604275
9331604400
10144378045
11745523a9
1240428139
1323bb0cc6
1415263c97
15ca1da30
hex89b08bd

144378045 has 80 divisors (see below), whose sum is σ = 298856448. Its totient is φ = 65318400.

The previous prime is 144378043. The next prime is 144378077. The reversal of 144378045 is 540873441.

It is not a de Polignac number, because 144378045 - 21 = 144378043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144378041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 359845 + ... + 360245.

Almost surely, 2144378045 is an apocalyptic number.

144378045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144378045 is an abundant number, since it is smaller than the sum of its proper divisors (154478403).

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

144378045 is a wasteful number, since it uses less digits than its factorization.

144378045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 144378045 is about 12015.7415501500. The cubic root of 144378045 is about 524.6065623724.

The spelling of 144378045 in words is "one hundred forty-four million, three hundred seventy-eight thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 127 135 189 315 381 401 405 567 635 889 945 1143 1203 1905 2005 2667 2807 2835 3429 3609 4445 5715 6015 8001 8421 10287 10827 13335 14035 17145 18045 24003 25263 32481 40005 42105 50927 51435 54135 72009 75789 120015 126315 152781 162405 227367 254635 356489 360045 378945 458343 763905 1069467 1136835 1375029 1782445 2291715 3208401 4125087 5347335 6875145 9625203 16042005 20625435 28875609 48126015 144378045