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4044034134 = 233731467739
BaseRepresentation
bin1111000100001011…
…0001000001010110
3101102211120012221000
43301002301001112
531240233043014
61505141404130
7202133502660
oct36102610126
911384505830
104044034134
11179582a778
1294a409646
134c5a9b50a
142a5137530
1518a072509
hexf10b1056

4044034134 has 128 divisors (see below), whose sum is σ = 10638950400. Its totient is φ = 1114261920.

The previous prime is 4044034129. The next prime is 4044034187. The reversal of 4044034134 is 4314304404.

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 = 4044034098 and 4044034107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5471937 + ... + 5472675.

It is an arithmetic number, because the mean of its divisors is an integer number (83116800).

Almost surely, 24044034134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044034134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319475200).

4044034134 is an abundant number, since it is smaller than the sum of its proper divisors (6594916266).

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

4044034134 is a wasteful number, since it uses less digits than its factorization.

4044034134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4044034134 is about 63592.7207626785. The cubic root of 4044034134 is about 1593.2047927773.

Adding to 4044034134 its reverse (4314304404), we get a palindrome (8358338538).

The spelling of 4044034134 in words is "four billion, forty-four million, thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 467 558 651 739 837 934 1302 1401 1478 1674 1953 2217 2802 3269 3906 4203 4434 5173 5859 6538 6651 8406 9807 10346 11718 12609 13302 14477 15519 19614 19953 22909 25218 28954 29421 31038 39906 43431 45818 46557 58842 68727 86862 88263 93114 101339 130293 137454 139671 160363 176526 202678 206181 260586 279342 304017 320726 345113 390879 412362 481089 608034 618543 690226 781758 912051 962178 1035339 1237086 1443267 1824102 2070678 2415791 2736153 2886534 3106017 4329801 4831582 5472306 6212034 7247373 8659602 9318051 10698503 14494746 18636102 21397006 21742119 32095509 43484238 64191018 65226357 74889521 96286527 130452714 149779042 192573054 224668563 288859581 449337126 577719162 674005689 1348011378 2022017067 4044034134