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4123234120 = 235377139239
BaseRepresentation
bin1111010111000011…
…1000111101001000
3101122100120222212211
43311300320331020
531421021442440
61521051114504
7204114624505
oct36560707510
911570528784
104123234120
111826504905
12970a42a34
1350930b705
142b18724ac
15191eb8eea
hexf5c38f48

4123234120 has 64 divisors (see below), whose sum is σ = 9662457600. Its totient is φ = 1582076160.

The previous prime is 4123234109. The next prime is 4123234133. The reversal of 4123234120 is 214323214.

It is a super-3 number, since 3×41232341203 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4123234091 and 4123234100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85461 + ... + 124699.

It is an arithmetic number, because the mean of its divisors is an integer number (150975900).

Almost surely, 24123234120 is an apocalyptic number.

4123234120 is a gapful number since it is divisible by the number (40) 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 4123234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831228800).

4123234120 is an abundant number, since it is smaller than the sum of its proper divisors (5539223480).

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

4123234120 is a wasteful number, since it uses less digits than its factorization.

4123234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39358 (or 39354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4123234120 is about 64212.4140645717. The cubic root of 4123234120 is about 1603.5382789708.

Adding to 4123234120 its reverse (214323214), we get a palindrome (4337557334).

The spelling of 4123234120 in words is "four billion, one hundred twenty-three million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 71 74 142 148 185 284 296 355 370 568 710 740 1420 1480 2627 2840 5254 10508 13135 21016 26270 39239 52540 78478 105080 156956 196195 313912 392390 784780 1451843 1569560 2785969 2903686 5571938 5807372 7259215 11143876 11614744 13929845 14518430 22287752 27859690 29036860 55719380 58073720 103080853 111438760 206161706 412323412 515404265 824646824 1030808530 2061617060 4123234120