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4105142532 = 223428344771
BaseRepresentation
bin1111010010101111…
…1000000100000100
3101121002112211220000
43310223320010010
531401404030112
61515203241300
7203505064401
oct36453700404
911532484800
104105142532
111817278387
12966979230
13505645b2a
142ad2c32a8
151905e37dc
hexf4af8104

4105142532 has 60 divisors (see below), whose sum is σ = 10769815056. Its totient is φ = 1363515120.

The previous prime is 4105142521. The next prime is 4105142537. The reversal of 4105142532 is 2352415014.

4105142532 is a `hidden beast` number, since 41 + 0 + 51 + 42 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4105142496 and 4105142505.

It is not an unprimeable number, because it can be changed into a prime (4105142537) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69307 + ... + 114077.

Almost surely, 24105142532 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 4105142532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384907528).

4105142532 is an abundant number, since it is smaller than the sum of its proper divisors (6664672524).

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

4105142532 is a wasteful number, since it uses less digits than its factorization.

4105142532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45070 (or 45059 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4105142532 is about 64071.3862188107. The cubic root of 4105142532 is about 1601.1895492429.

Adding to 4105142532 its reverse (2352415014), we get a palindrome (6457557546).

The spelling of 4105142532 in words is "four billion, one hundred five million, one hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 283 324 566 849 1132 1698 2547 3396 5094 7641 10188 15282 22923 30564 44771 45846 89542 91692 134313 179084 268626 402939 537252 805878 1208817 1611756 2417634 3626451 4835268 7252902 12670193 14505804 25340386 38010579 50680772 76021158 114031737 152042316 228063474 342095211 456126948 684190422 1026285633 1368380844 2052571266 4105142532