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4134412032 = 28319327893
BaseRepresentation
bin1111011001101110…
…0001111100000000
3101200010121220002120
43312123201330000
531431402141112
61522130444240
7204311631252
oct36633417400
911603556076
104134412032
111831849a53
12974733680
1350b72346a
142b3141cd2
15192e75e8c
hexf66e1f00

4134412032 has 72 divisors (see below), whose sum is σ = 11060975184. Its totient is φ = 1370947584.

The previous prime is 4134412001. The next prime is 4134412039. The reversal of 4134412032 is 2302144314.

4134412032 is digitally balanced in base 2, because in such base 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 = 4134411993 and 4134412011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134412039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134278 + ... + 162170.

Almost surely, 24134412032 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 4134412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530487592).

4134412032 is an abundant number, since it is smaller than the sum of its proper divisors (6926563152).

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

4134412032 is a wasteful number, since it uses less digits than its factorization.

4134412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28105 (or 28091 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4134412032 is about 64299.3937140934. The cubic root of 4134412032 is about 1604.9860128244.

Adding to 4134412032 its reverse (2302144314), we get a palindrome (6436556346).

The spelling of 4134412032 in words is "four billion, one hundred thirty-four million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 579 768 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 27893 37056 49408 55786 74112 83679 111572 148224 167358 223144 334716 446288 669432 892576 1338864 1785152 2677728 3570304 5355456 5383349 7140608 10710912 10766698 16150047 21421824 21533396 32300094 43066792 64600188 86133584 129200376 172267168 258400752 344534336 516801504 689068672 1033603008 1378137344 2067206016 4134412032