Search a number
-
+
4332153212401 = 7288411290049
BaseRepresentation
bin111111000010101000011…
…101000000110111110001
3120100011001012120011011211
4333002220131000313301
51031434222210244101
613114055210040121
7624662536505500
oct77025035006761
916304035504154
104332153212401
11142028a605283
1259b725419041
1325569c11b8c1
1410d96a868837
1577a5131bc51
hex3f0a8740df1

4332153212401 has 6 divisors (see below), whose sum is σ = 5039443532850. Its totient is φ = 3713274182016.

The previous prime is 4332153212383. The next prime is 4332153212407. The reversal of 4332153212401 is 1042123512334.

4332153212401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4039878903025 + 292274309376 = 2009945^2 + 540624^2 .

It is not a de Polignac number, because 4332153212401 - 231 = 4330005728753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4332153212407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44205644976 + ... + 44205645073.

It is an arithmetic number, because the mean of its divisors is an integer number (839907255475).

Almost surely, 24332153212401 is an apocalyptic number.

It is an amenable number.

4332153212401 is a deficient number, since it is larger than the sum of its proper divisors (707290320449).

4332153212401 is an equidigital number, since it uses as much as digits as its factorization.

4332153212401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88411290063 (or 88411290056 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 4332153212401 its reverse (1042123512334), we get a palindrome (5374276724735).

The spelling of 4332153212401 in words is "four trillion, three hundred thirty-two billion, one hundred fifty-three million, two hundred twelve thousand, four hundred one".

Divisors: 1 7 49 88411290049 618879030343 4332153212401