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4055441112 = 2332431817237
BaseRepresentation
bin1111000110111001…
…0001111011011000
3101110122000202100200
43301232101323120
531301143103422
61510230102200
7202332452322
oct36156217330
911418022320
104055441112
1117a1210a28
129521aa960
134c82635c8
142a6866612
1518b0772ac
hexf1b91ed8

4055441112 has 96 divisors (see below), whose sum is σ = 11302571280. Its totient is φ = 1312899840.

The previous prime is 4055441081. The next prime is 4055441123. The reversal of 4055441112 is 2111445504.

4055441112 is a `hidden beast` number, since 4 + 0 + 5 + 544 + 1 + 112 = 666.

It is a super-2 number, since 2×40554411122 = 32893205225799593088, which 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 23 ways as a sum of consecutive naturals, for example, 556758 + ... + 563994.

Almost surely, 24055441112 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 4055441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651285640).

4055441112 is an abundant number, since it is smaller than the sum of its proper divisors (7247130168).

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

4055441112 is a wasteful number, since it uses less digits than its factorization.

4055441112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4055441112 is about 63682.3453713822. The cubic root of 4055441112 is about 1594.7013669667.

Adding to 4055441112 its reverse (2111445504), we get a palindrome (6166886616).

The spelling of 4055441112 in words is "four billion, fifty-five million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 181 258 344 362 387 516 543 724 774 1032 1086 1448 1548 1629 2172 3096 3258 4344 6516 7237 7783 13032 14474 15566 21711 23349 28948 31132 43422 46698 57896 62264 65133 70047 86844 93396 130266 140094 173688 186792 260532 280188 311191 521064 560376 622382 933573 1244764 1309897 1867146 2489528 2619794 2800719 3734292 3929691 5239588 5601438 7468584 7859382 10479176 11202876 11789073 15718764 22405752 23578146 31437528 47156292 56325571 94312584 112651142 168976713 225302284 337953426 450604568 506930139 675906852 1013860278 1351813704 2027720556 4055441112