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4332142421504 = 2967461273941
BaseRepresentation
bin111111000010100111110…
…011110110011000000000
3120100011000110020220211222
4333002213303312120000
51031434211424442004
613114054142454212
7624662346003242
oct77024763663000
916304013226758
104332142421504
111420284504987
1259b721894368
13255699b11061
1410d96925a092
1577a503d97be
hex3f0a7cf6600

4332142421504 has 80 divisors (see below), whose sum is σ = 8804103595056. Its totient is φ = 2129105510400.

The previous prime is 4332142421501. The next prime is 4332142421539. The reversal of 4332142421504 is 4051242412334.

4332142421504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332142421501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15677174 + ... + 15951114.

Almost surely, 24332142421504 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 4332142421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402051797528).

4332142421504 is an abundant number, since it is smaller than the sum of its proper divisors (4471961173552).

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

4332142421504 is an equidigital number, since it uses as much as digits as its factorization.

4332142421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274487 (or 274471 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 4332142421504 its reverse (4051242412334), we get a palindrome (8383384833838).

The spelling of 4332142421504 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 461 512 536 922 1072 1844 2144 3688 4288 7376 8576 14752 17152 29504 30887 34304 59008 61774 118016 123548 236032 247096 273941 494192 547882 988384 1095764 1976768 2191528 3953536 4383056 7907072 8766112 15814144 17532224 18354047 35064448 36708094 70128896 73416188 126286801 140257792 146832376 252573602 293664752 505147204 587329504 1010294408 1174659008 2020588816 2349318016 4041177632 4698636032 8082355264 8461215667 9397272064 16164710528 16922431334 32329421056 33844862668 64658842112 67689725336 135379450672 270758901344 541517802688 1083035605376 2166071210752 4332142421504