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4191344920 = 2357103114519
BaseRepresentation
bin1111100111010010…
…1101100100011000
3101211002202101100001
43321310231210120
532040441014140
61531523022344
7205602562330
oct37164554430
911732671301
104191344920
1118609a5524
1298b80a9b4
1351a468369
142ba9220c0
15197e6ee9a
hexf9d2d918

4191344920 has 64 divisors (see below), whose sum is σ = 10788940800. Its totient is φ = 1435539840.

The previous prime is 4191344879. The next prime is 4191344923. The reversal of 4191344920 is 294431914.

It is a self number, because there is not a number n which added to its sum of digits gives 4191344920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191344923) 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, 281421 + ... + 295939.

It is an arithmetic number, because the mean of its divisors is an integer number (168577200).

Almost surely, 24191344920 is an apocalyptic number.

4191344920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4191344920 is an abundant number, since it is smaller than the sum of its proper divisors (6597595880).

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

4191344920 is a wasteful number, since it uses less digits than its factorization.

4191344920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15568 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4191344920 is about 64740.5971551082. The cubic root of 4191344920 is about 1612.3196017966.

The spelling of 4191344920 in words is "four billion, one hundred ninety-one million, three hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1031 2062 4124 5155 7217 8248 10310 14434 14519 20620 28868 29038 36085 41240 57736 58076 72170 72595 101633 116152 144340 145190 203266 288680 290380 406532 508165 580760 813064 1016330 2032660 4065320 14969089 29938178 59876356 74845445 104783623 119752712 149690890 209567246 299381780 419134492 523918115 598763560 838268984 1047836230 2095672460 4191344920