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4134122432 = 261183139509
BaseRepresentation
bin1111011001101001…
…1011001111000000
3101200010002011211122
43312122123033000
531431313404212
61522120331412
7204306314036
oct36632331700
911603064748
104134122432
111831671410
12974613b68
1350b6516bb
142b30a8556
15192e1a272
hexf669b3c0

4134122432 has 112 divisors (see below), whose sum is σ = 9140342400. Its totient is φ = 1839528960.

The previous prime is 4134122431. The next prime is 4134122453. The reversal of 4134122432 is 2342214314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134122431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8121794 + ... + 8122302.

It is an arithmetic number, because the mean of its divisors is an integer number (81610200).

Almost surely, 24134122432 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 4134122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570171200).

4134122432 is an abundant number, since it is smaller than the sum of its proper divisors (5006219968).

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

4134122432 is a wasteful number, since it uses less digits than its factorization.

4134122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 4134122432 is about 64297.1417094104. The cubic root of 4134122432 is about 1604.9485375398.

Adding to 4134122432 its reverse (2342214314), we get a palindrome (6476336746).

The spelling of 4134122432 in words is "four billion, one hundred thirty-four million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 139 166 176 278 332 352 509 556 664 704 913 1018 1112 1328 1529 1826 2036 2224 2656 3058 3652 4072 4448 5312 5599 6116 7304 8144 8896 11198 11537 12232 14608 16288 22396 23074 24464 29216 32576 42247 44792 46148 48928 58432 70751 84494 89584 92296 97856 126907 141502 168988 179168 184592 253814 283004 337976 358336 369184 464717 507628 566008 675952 738368 778261 929434 1015256 1132016 1351904 1556522 1858868 2030512 2264032 2703808 3113044 3717736 4061024 4528064 5872333 6226088 7435472 8122048 11744666 12452176 14870944 23489332 24904352 29741888 46978664 49808704 64595663 93957328 129191326 187914656 258382652 375829312 516765304 1033530608 2067061216 4134122432