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121443648 = 26317291283
BaseRepresentation
bin1110011110100…
…01010101000000
322110111222100220
413033101111000
5222042144043
620014543040
73003153054
oct717212500
9273458326
10121443648
1162608457
1234807a80
131c211061
14121b3c64
15a9dd483
hex73d1540

121443648 has 112 divisors (see below), whose sum is σ = 352226880. Its totient is φ = 36757504.

The previous prime is 121443607. The next prime is 121443659. The reversal of 121443648 is 846344121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94015 + ... + 95297.

Almost surely, 2121443648 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 121443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176113440).

121443648 is an abundant number, since it is smaller than the sum of its proper divisors (230783232).

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

121443648 is a wasteful number, since it uses less digits than its factorization.

With its successor (121443649) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1344).

121443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 121443648 is about 11020.1473674357. The cubic root of 121443648 is about 495.2125033925.

Adding to 121443648 its reverse (846344121), we get a palindrome (967787769).

The spelling of 121443648 in words is "one hundred twenty-one million, four hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 816 928 986 1088 1283 1392 1479 1632 1856 1972 2566 2784 2958 3264 3849 3944 5132 5568 5916 7698 7888 10264 11832 15396 15776 20528 21811 23664 30792 31552 37207 41056 43622 47328 61584 65433 74414 82112 87244 94656 111621 123168 130866 148828 174488 223242 246336 261732 297656 348976 446484 523464 595312 632519 697952 892968 1046928 1190624 1265038 1395904 1785936 1897557 2093856 2381248 2530076 3571872 3795114 4187712 5060152 7143744 7590228 10120304 15180456 20240608 30360912 40481216 60721824 121443648