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2441034112 = 27114736887
BaseRepresentation
bin1001000101111111…
…0011100110000000
320022010020101021211
42101133303212000
514444401042422
61042115455504
7114330306346
oct22137634600
96263211254
102441034112
11104299a070
125815b7594
132cb9550aa
141922a1996
15e447e577
hex917f3980

2441034112 has 64 divisors (see below), whose sum is σ = 5418109440. Its totient is φ = 1085923840.

The previous prime is 2441034109. The next prime is 2441034161. The reversal of 2441034112 is 2114301442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47733 + ... + 84619.

It is an arithmetic number, because the mean of its divisors is an integer number (84657960).

Almost surely, 22441034112 is an apocalyptic number.

2441034112 is a gapful number since it is divisible by the number (22) 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 2441034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709054720).

2441034112 is an abundant number, since it is smaller than the sum of its proper divisors (2977075328).

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

2441034112 is a wasteful number, since it uses less digits than its factorization.

2441034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36959 (or 36947 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2441034112 is about 49406.8225248295. The cubic root of 2441034112 is about 1346.4532620481.

Adding to 2441034112 its reverse (2114301442), we get a palindrome (4555335554).

The spelling of 2441034112 in words is "two billion, four hundred forty-one million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 2068 3008 4136 6016 8272 16544 33088 36887 66176 73774 147548 295096 405757 590192 811514 1180384 1623028 1733689 2360768 3246056 3467378 4721536 6492112 6934756 12984224 13869512 19070579 25968448 27739024 38141158 51936896 55478048 76282316 110956096 152564632 221912192 305129264 610258528 1220517056 2441034112