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4123441120 = 255171515971
BaseRepresentation
bin1111010111000110…
…1011011111100000
3101122100222111211111
43311301223133200
531421100103440
61521055353104
7204116446141
oct36561533740
911570874744
104123441120
111826636387
12970b22794
135093819b6
142b18c7ac8
1519200a4ea
hexf5c6b7e0

4123441120 has 48 divisors (see below), whose sum is σ = 10314673488. Its totient is φ = 1552353280.

The previous prime is 4123441051. The next prime is 4123441121. The reversal of 4123441120 is 211443214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4123441091 and 4123441100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123441121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755266 + ... + 760705.

It is an arithmetic number, because the mean of its divisors is an integer number (214889031).

Almost surely, 24123441120 is an apocalyptic number.

4123441120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4123441120 is an abundant number, since it is smaller than the sum of its proper divisors (6191232368).

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

4123441120 is a wasteful number, since it uses less digits than its factorization.

4123441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516003 (or 1515995 counting only the distinct ones).

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

The square root of 4123441120 is about 64214.0258822012. The cubic root of 4123441120 is about 1603.5651128315.

Adding to 4123441120 its reverse (211443214), we get a palindrome (4334884334).

The spelling of 4123441120 in words is "four billion, one hundred twenty-three million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 1515971 3031942 6063884 7579855 12127768 15159710 24255536 25771507 30319420 48511072 51543014 60638840 103086028 121277680 128857535 206172056 242555360 257715070 412344112 515430140 824688224 1030860280 2061720560 4123441120