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144977085 = 325111092687
BaseRepresentation
bin10001010010000…
…10110010111101
3101002210121011200
420221002302331
5244103231320
622215210113
73410166501
oct1051026275
9332717150
10144977085
1174921480
1240676939
1324060876
141537c301
15cadb290
hex8a42cbd

144977085 has 48 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 69621120.

The previous prime is 144977083. The next prime is 144977113. The reversal of 144977085 is 580779441.

It is a happy number.

144977085 is a `hidden beast` number, since 14 + 497 + 70 + 85 = 666.

It is not a de Polignac number, because 144977085 - 21 = 144977083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144977085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144977081) 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 47 ways as a sum of consecutive naturals, for example, 52612 + ... + 55298.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2144977085 is an apocalyptic number.

144977085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144977085 is a deficient number, since it is larger than the sum of its proper divisors (131779395).

144977085 is a wasteful number, since it uses less digits than its factorization.

144977085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 144977085 is about 12040.6430476117. The cubic root of 144977085 is about 525.3311108566.

The spelling of 144977085 in words is "one hundred forty-four million, nine hundred seventy-seven thousand, eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 109 165 327 495 545 981 1199 1635 2687 3597 4905 5995 8061 10791 13435 17985 24183 29557 40305 53955 88671 120915 147785 266013 292883 443355 878649 1330065 1464415 2635947 3221713 4393245 9665139 13179735 16108565 28995417 48325695 144977085