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144503063408 = 24114735174967
BaseRepresentation
bin1000011010010100001…
…1011100001101110000
3111210222200000012110102
42012211003130031300
54331420241012113
6150214522051532
713303630526024
oct2064503341560
9453880005412
10144503063408
1156313237350
1224009949ba8
131081b79bc62
146dcb6d4384
153b5b217758
hex21a50dc370

144503063408 has 80 divisors (see below), whose sum is σ = 312076882944. Its totient is φ = 64254478080.

The previous prime is 144503063407. The next prime is 144503063431. The reversal of 144503063408 is 804360305441.

It is a happy number.

It is a super-2 number, since 2×1445030634082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144503063407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29090141 + ... + 29095107.

Almost surely, 2144503063408 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 144503063408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038441472).

144503063408 is an abundant number, since it is smaller than the sum of its proper divisors (167573819536).

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

144503063408 is a wasteful number, since it uses less digits than its factorization.

144503063408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 144503063408 its reverse (804360305441), we get a palindrome (948863368849).

The spelling of 144503063408 in words is "one hundred forty-four billion, five hundred three million, sixty-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 3517 4136 4967 7034 8272 9934 14068 19868 28136 38687 39736 54637 56272 77374 79472 109274 154748 165299 218548 233449 309496 330598 437096 466898 618992 661196 874192 933796 1322392 1818289 1867592 2567939 2644784 3636578 3735184 5135878 7273156 10271756 14546312 17468939 20543512 29092624 34937878 41087024 69875756 139751512 192158329 279503024 384316658 768633316 821040133 1537266632 1642080266 3074533264 3284160532 6568321064 9031441463 13136642128 18062882926 36125765852 72251531704 144503063408