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4195038042 = 2321322138101
BaseRepresentation
bin1111101000001011…
…0011001101011010
3101211100201000100100
43322002303031122
532042412204132
61532134120230
7205646143416
oct37202631532
911740630310
104195038042
111862a98198
12990ab0076
1351b15c340
142bb203d46
1519844e37c
hexfa0b335a

4195038042 has 48 divisors (see below), whose sum is σ = 9794054088. Its totient is φ = 1290038400.

The previous prime is 4195038037. The next prime is 4195038121. The reversal of 4195038042 is 2408305914.

It can be written as a sum of positive squares in 4 ways, for example, as 4108938201 + 86099841 = 64101^2 + 9279^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4195037988 and 4195038006.

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 23 ways as a sum of consecutive naturals, for example, 513792 + ... + 521892.

Almost surely, 24195038042 is an apocalyptic number.

4195038042 is an abundant number, since it is smaller than the sum of its proper divisors (5599016046).

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

4195038042 is a wasteful number, since it uses less digits than its factorization.

4195038042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4195038042 is about 64769.1133334400. The cubic root of 4195038042 is about 1612.7930174556.

The spelling of 4195038042 in words is "four billion, one hundred ninety-five million, thirty-eight thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2213 4426 6639 8101 13278 16202 19917 24303 28769 39834 48606 57538 72909 86307 105313 145818 172614 210626 258921 315939 517842 631878 947817 1895634 17927513 35855026 53782539 107565078 161347617 233057669 322695234 466115338 699173007 1398346014 2097519021 4195038042