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4412151044 = 2271977310729
BaseRepresentation
bin1000001101111110…
…00001010100000100
3102101111020111101122
410012333001110010
533014002313134
62005451413112
7214223444060
oct40677012404
912344214348
104412151044
1119645a9424
12a31754198
13554128982
142dbd9caa0
151ac53902e
hex106fc1504

4412151044 has 48 divisors (see below), whose sum is σ = 9301622400. Its totient is φ = 1788915456.

The previous prime is 4412151013. The next prime is 4412151109. The reversal of 4412151044 is 4401512144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405872 + ... + 416600.

It is an arithmetic number, because the mean of its divisors is an integer number (193783800).

Almost surely, 24412151044 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 4412151044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650811200).

4412151044 is an abundant number, since it is smaller than the sum of its proper divisors (4889471356).

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

4412151044 is a wasteful number, since it uses less digits than its factorization.

4412151044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 4412151044 is about 66424.0245995378. The cubic root of 4412151044 is about 1640.1495803484.

Adding to 4412151044 its reverse (4401512144), we get a palindrome (8813663188).

The spelling of 4412151044 in words is "four billion, four hundred twelve million, one hundred fifty-one thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 773 1546 3092 5411 10729 10822 14687 21458 21644 29374 42916 58748 75103 102809 150206 203851 205618 300412 407702 411236 815404 1426957 2853914 5707828 8293517 16587034 33174068 58054619 116109238 157576823 232218476 315153646 630307292 1103037761 2206075522 4412151044