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444416405103 = 32114489054597
BaseRepresentation
bin1100111011110010100…
…10000010111001101111
31120111010010212112100200
412131321102002321233
524240131044430403
6540055001524543
744052024054306
oct6357122027157
91514103775320
10444416405103
11161526524a10
127216a1a3753
1332ba6678958
141771d11943d
15b860ea9ca3
hex6779482e6f

444416405103 has 12 divisors (see below), whose sum is σ = 700292517288. Its totient is φ = 269343275760.

The previous prime is 444416405101. The next prime is 444416405221. The reversal of 444416405103 is 301504614444.

444416405103 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 640 + 5 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 444416405103 - 21 = 444416405101 is a prime.

It is a super-3 number, since 3×4444164051033 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444416405101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2244527200 + ... + 2244527397.

It is an arithmetic number, because the mean of its divisors is an integer number (58357709774).

Almost surely, 2444416405103 is an apocalyptic number.

444416405103 is a deficient number, since it is larger than the sum of its proper divisors (255876112185).

444416405103 is a wasteful number, since it uses less digits than its factorization.

444416405103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489054614 (or 4489054611 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 444416405103 in words is "four hundred forty-four billion, four hundred sixteen million, four hundred five thousand, one hundred three".

Divisors: 1 3 9 11 33 99 4489054597 13467163791 40401491373 49379600567 148138801701 444416405103