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144899904 = 2634179233
BaseRepresentation
bin10001010001011…
…11111101000000
3101002122200022010
420220233331000
5244043244104
622213412520
73406425462
oct1050577500
9332580263
10144899904
1174879496
124063a140
13240346b6
141535c132
15cac3489
hex8a2ff40

144899904 has 112 divisors (see below), whose sum is σ = 399409920. Its totient is φ = 46325760.

The previous prime is 144899903. The next prime is 144899917. The reversal of 144899904 is 409998441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144899903) 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 15 ways as a sum of consecutive naturals, for example, 621772 + ... + 622004.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2144899904 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 144899904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

144899904 is an abundant number, since it is smaller than the sum of its proper divisors (254510016).

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

144899904 is a wasteful number, since it uses less digits than its factorization.

144899904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 144899904 is about 12037.4376010844. The cubic root of 144899904 is about 525.2378713453.

The spelling of 144899904 in words is "one hundred forty-four million, eight hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 79 82 96 123 158 164 192 233 237 246 316 328 466 474 492 632 656 699 932 948 984 1264 1312 1398 1864 1896 1968 2528 2624 2796 3239 3728 3792 3936 5056 5592 6478 7456 7584 7872 9553 9717 11184 12956 14912 15168 18407 19106 19434 22368 25912 28659 36814 38212 38868 44736 51824 55221 57318 73628 76424 77736 103648 110442 114636 147256 152848 155472 207296 220884 229272 294512 305696 310944 441768 458544 589024 611392 621888 754687 883536 917088 1178048 1509374 1767072 1834176 2264061 3018748 3534144 4528122 6037496 9056244 12074992 18112488 24149984 36224976 48299968 72449952 144899904