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244115980416 = 2735721114561
BaseRepresentation
bin1110001101011001110…
…0100100000010000000
3212100002212021200200000
43203112130210002000
512444422142333131
6304051220400000
723431264411500
oct3432634440200
9770085250600
10244115980416
119459011a250
123b389b46000
131a0350405b9
14bb5b193a00
15653b490ce6
hex38d6724080

244115980416 has 576 divisors, whose sum is σ = 924525070560. Its totient is φ = 63402393600.

The previous prime is 244115980403. The next prime is 244115980421. The reversal of 244115980416 is 614089511442.

244115980416 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 159 + 80 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2441159804162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16757776 + ... + 16772336.

Almost surely, 2244115980416 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 244115980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462262535280).

244115980416 is an abundant number, since it is smaller than the sum of its proper divisors (680409090144).

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

244115980416 is a wasteful number, since it uses less digits than its factorization.

244115980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14615 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 244115980416 in words is "two hundred forty-four billion, one hundred fifteen million, nine hundred eighty thousand, four hundred sixteen".