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4409049120 = 253571976661
BaseRepresentation
bin1000001101100110…
…01100000000100000
3102101021101220100120
410012303030000200
533012204032440
62005301120240
7214155204420
oct40663140040
912337356316
104409049120
11196287a953
12a306b9080
135535b0b08
142db7d2480
151ac124dd0
hex106ccc020

4409049120 has 192 divisors, whose sum is σ = 15955543296. Its totient is φ = 1002516480.

The previous prime is 4409049107. The next prime is 4409049137. The reversal of 4409049120 is 219409044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658590 + ... + 665250.

It is an arithmetic number, because the mean of its divisors is an integer number (83101788).

Almost surely, 24409049120 is an apocalyptic number.

4409049120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4409049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977771648).

4409049120 is an abundant number, since it is smaller than the sum of its proper divisors (11546494176).

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

4409049120 is a wasteful number, since it uses less digits than its factorization.

4409049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4409049120 is about 66400.6710809462. The cubic root of 4409049120 is about 1639.7651259911.

The spelling of 4409049120 in words is "four billion, four hundred nine million, forty-nine thousand, one hundred twenty".