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2041341444 = 2232312118669
BaseRepresentation
bin111100110101100…
…0110011000000100
312021021010220000200
41321223012120010
513140040411234
6534321010500
7101405054532
oct17153063004
95237126020
102041341444
1195831404a
1248b783a30
13266bc065c
1415517b152
15be32bd99
hex79ac6604

2041341444 has 72 divisors (see below), whose sum is σ = 5352372480. Its totient is φ = 655300800.

The previous prime is 2041341431. The next prime is 2041341457. The reversal of 2041341444 is 4441431402.

2041341444 is a `hidden beast` number, since 204 + 1 + 3 + 414 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2041341431) and next prime (2041341457).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231142 + ... + 239810.

Almost surely, 22041341444 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 2041341444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676186240).

2041341444 is an abundant number, since it is smaller than the sum of its proper divisors (3311031036).

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

2041341444 is a wasteful number, since it uses less digits than its factorization.

2041341444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8921 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2041341444 is about 45181.2067567921. The cubic root of 2041341444 is about 1268.5430714512.

Adding to 2041341444 its reverse (4441431402), we get a palindrome (6482772846).

The spelling of 2041341444 in words is "two billion, forty-one million, three hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 211 279 372 422 558 633 844 1116 1266 1899 2532 3798 6541 7596 8669 13082 17338 19623 26007 26164 34676 39246 52014 58869 78021 78492 104028 117738 156042 235476 268739 312084 537478 806217 1074956 1612434 1829159 2418651 3224868 3658318 4837302 5487477 7316636 9674604 10974954 16462431 21949908 32924862 56703929 65849724 113407858 170111787 226815716 340223574 510335361 680447148 1020670722 2041341444