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4389230312401 = 11228326732
BaseRepresentation
bin111111110111110010100…
…000110111101111010001
3120112121101000012020220111
4333313302200313233101
51033403120424444101
613200215022241321
7632053135035034
oct77676240675721
916477330166814
104389230312401
11144250a0a2300
125aa7b4426241
1325ab9714a95c
1411262306501b
157929215a251
hex3fdf2837bd1

4389230312401 has 27 divisors (see below), whose sum is σ = 4848838711227. Its totient is φ = 3970201656960.

The previous prime is 4389230312377. The next prime is 4389230312413. The reversal of 4389230312401 is 1042130329834.

The square root of 4389230312401 is 2095049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1436414235025 + 2952816077376 = 1198505^2 + 1718376^2 .

It is not a de Polignac number, because 4389230312401 - 29 = 4389230311889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4389230312491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6521887201 + ... + 6521887873.

Almost surely, 24389230312401 is an apocalyptic number.

4389230312401 is the 2095049-th square number.

4389230312401 is the 1047525-th centered octagonal number.

It is an amenable number.

4389230312401 is a deficient number, since it is larger than the sum of its proper divisors (459608398826).

4389230312401 is an frugal number, since it uses more digits than its factorization.

4389230312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 4389230312401 in words is "four trillion, three hundred eighty-nine billion, two hundred thirty million, three hundred twelve thousand, four hundred one".

Divisors: 1 11 121 283 673 3113 7403 34243 80089 81433 190459 452929 880979 2095049 4982219 9690769 23045539 53899897 54804409 128178907 592898867 1409967977 6521887537 15509647747 36274630681 399020937491 4389230312401