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4141534120 = 2351912494363
BaseRepresentation
bin1111011011011010…
…1100101110101000
3101200122000201202121
43312312230232220
531440213042440
61522543241024
7204426313333
oct36666545650
911618021677
104141534120
111835873979
12976ba9174
13510048109
142b407761a
151938d134a
hexf6dacba8

4141534120 has 64 divisors (see below), whose sum is σ = 9819000000. Its totient is φ = 1567807488.

The previous prime is 4141534081. The next prime is 4141534151. The reversal of 4141534120 is 214351414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947059 + ... + 951421.

It is an arithmetic number, because the mean of its divisors is an integer number (153421875).

Almost surely, 24141534120 is an apocalyptic number.

4141534120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909500000).

4141534120 is an abundant number, since it is smaller than the sum of its proper divisors (5677465880).

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

4141534120 is a wasteful number, since it uses less digits than its factorization.

4141534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4141534120 is about 64354.7521166852. The cubic root of 4141534120 is about 1605.9070864922.

Adding to 4141534120 its reverse (214351414), we get a palindrome (4355885534).

The spelling of 4141534120 in words is "four billion, one hundred forty-one million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1249 2498 4363 4996 6245 8726 9992 12490 17452 21815 23731 24980 34904 43630 47462 49960 82897 87260 94924 118655 165794 174520 189848 237310 331588 414485 474620 663176 828970 949240 1657940 3315880 5449387 10898774 21797548 27246935 43595096 54493870 103538353 108987740 207076706 217975480 414153412 517691765 828306824 1035383530 2070767060 4141534120