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4134024024 = 2331385715461
BaseRepresentation
bin1111011001101000…
…0011001101011000
3101200002220011211220
43312122003031120
531431302232044
61522114252040
7204305424114
oct36632031530
911602804756
104134024024
111831604489
12974587020
1350b618980
142b3080744
15192deb019
hexf6683358

4134024024 has 64 divisors (see below), whose sum is σ = 11143772640. Its totient is φ = 1270440960.

The previous prime is 4134024019. The next prime is 4134024109. The reversal of 4134024024 is 4204204314.

It is a happy number.

4134024024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4134023985 and 4134024003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259654 + ... + 275114.

Almost surely, 24134024024 is an apocalyptic number.

It is an amenable number.

4134024024 is an abundant number, since it is smaller than the sum of its proper divisors (7009748616).

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

4134024024 is a wasteful number, since it uses less digits than its factorization.

4134024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16340 (or 16336 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4134024024 is about 64296.3764453332. The cubic root of 4134024024 is about 1604.9358027913.

Adding to 4134024024 its reverse (4204204314), we get a palindrome (8338228338).

The spelling of 4134024024 in words is "four billion, one hundred thirty-four million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 857 1714 2571 3428 5142 6856 10284 11141 15461 20568 22282 30922 33423 44564 46383 61844 66846 89128 92766 123688 133692 185532 200993 267384 371064 401986 602979 803972 1205958 1607944 2411916 4823832 13250077 26500154 39750231 53000308 79500462 106000616 159000924 172251001 318001848 344502002 516753003 689004004 1033506006 1378008008 2067012012 4134024024