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4134150438 = 2311614492287
BaseRepresentation
bin1111011001101010…
…0010000100100110
3101200010010121020220
43312122202010212
531431320303223
61522121105210
7204306461505
oct36632420446
911603117226
104134150438
111831690460
12974628206
1350b661382
142b30b483c
15192e236e3
hexf66a2126

4134150438 has 64 divisors (see below), whose sum is σ = 9192268800. Its totient is φ = 1228953600.

The previous prime is 4134150401. The next prime is 4134150439. The reversal of 4134150438 is 8340514314.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4134150399 and 4134150408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134150439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1806531 + ... + 1808817.

It is an arithmetic number, because the mean of its divisors is an integer number (143629200).

Almost surely, 24134150438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134150438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

4134150438 is an abundant number, since it is smaller than the sum of its proper divisors (5058118362).

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

4134150438 is a wasteful number, since it uses less digits than its factorization.

4134150438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4134150438 is about 64297.3594947724. The cubic root of 4134150438 is about 1604.9521616937.

The spelling of 4134150438 in words is "four billion, one hundred thirty-four million, one hundred fifty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 449 671 898 1342 1347 2013 2287 2694 4026 4574 4939 6861 9878 13722 14817 25157 27389 29634 50314 54778 75471 82167 139507 150942 164334 279014 301279 418521 602558 837042 903837 1026863 1534577 1807674 2053726 3069154 3080589 4603731 6161178 9207462 11295493 22590986 33886479 62638643 67772958 125277286 187915929 375831858 689025073 1378050146 2067075219 4134150438