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144839376448 = 26131491168361
BaseRepresentation
bin1000011011100100011…
…0010111111001000000
3111211212002211200012221
42012321012113321000
54333112340021243
6150312134300424
713315153246354
oct2067106277100
9454762750187
10144839376448
1156476063308
12240a24b7714
1310873372360
14702023b464
153b7a9eabed
hex21b9197e40

144839376448 has 56 divisors (see below), whose sum is σ = 311602145400. Its totient is φ = 66400235520.

The previous prime is 144839376403. The next prime is 144839376503. The reversal of 144839376448 is 844673938441.

It can be written as a sum of positive squares in 4 ways, for example, as 7115259904 + 137724116544 = 84352^2 + 371112^2 .

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 7 ways as a sum of consecutive naturals, for example, 460213 + ... + 708148.

It is an arithmetic number, because the mean of its divisors is an integer number (5564324025).

Almost surely, 2144839376448 is an apocalyptic number.

It is an amenable number.

144839376448 is an abundant number, since it is smaller than the sum of its proper divisors (166762768952).

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

144839376448 is a wasteful number, since it uses less digits than its factorization.

144839376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168535 (or 1168525 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 61.

The spelling of 144839376448 in words is "one hundred forty-four billion, eight hundred thirty-nine million, three hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 596 832 1192 1937 2384 3874 4768 7748 9536 15496 30992 61984 123968 1168361 2336722 4673444 9346888 15188693 18693776 30377386 37387552 60754772 74775104 121509544 174085789 243019088 348171578 486038176 696343156 972076352 1392686312 2263115257 2785372624 4526230514 5570745248 9052461028 11141490496 18104922056 36209844112 72419688224 144839376448