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123443001424 = 24318914711901
BaseRepresentation
bin111001011110111000…
…1101011100001010000
3102210121221210012112201
41302331301223201100
54010302402021144
6132413043532544
711630014125301
oct1627561534120
9383557705481
10123443001424
11483963a1046
121bb1098a154
13b8435b7c12
145d907087a8
1533273a41d4
hex1cbdc6b850

123443001424 has 80 divisors (see below), whose sum is σ = 249961144320. Its totient is φ = 58988160000.

The previous prime is 123443001413. The next prime is 123443001431. The reversal of 123443001424 is 424100344321.

It is a junction number, because it is equal to n+sod(n) for n = 123443001392 and 123443001401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64934874 + ... + 64936774.

It is an arithmetic number, because the mean of its divisors is an integer number (3124514304).

Almost surely, 2123443001424 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 123443001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124980572160).

123443001424 is an abundant number, since it is smaller than the sum of its proper divisors (126518142896).

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

123443001424 is a wasteful number, since it uses less digits than its factorization.

123443001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 123443001424 its reverse (424100344321), we get a palindrome (547543345745).

The spelling of 123443001424 in words is "one hundred twenty-three billion, four hundred forty-three million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 1424 1471 1901 2759 2942 3802 5518 5884 7604 11036 11768 15208 22072 23536 30416 44144 45601 58931 91202 117862 130919 169189 182404 235724 261838 338378 364808 471448 523676 676756 729616 942896 1047352 1353512 2094704 2707024 2796371 4058489 5244859 5592742 8116978 10489718 11185484 16233956 20979436 22370968 32467912 41958872 44741936 64935824 83917744 86687501 173375002 248877019 346750004 497754038 693500008 995508076 1387000016 1991016152 3982032304 7715187589 15430375178 30860750356 61721500712 123443001424