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5114414304 = 253322032687
BaseRepresentation
bin1001100001101011…
…11100010011100000
3111012102200011111000
410300311330103200
540433242224204
62203255352000
7240511542606
oct46065742340
914172604430
105114414304
112194a5418a
12ba8982600
1363677b26c
14367365876
151ee007039
hex130d7c4e0

5114414304 has 96 divisors (see below), whose sum is σ = 14929367040. Its totient is φ = 1703396736.

The previous prime is 5114414303. The next prime is 5114414309. The reversal of 5114414304 is 4034144115.

5114414304 is a `hidden beast` number, since 511 + 4 + 4 + 143 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114414303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902049 + ... + 1904735.

It is an arithmetic number, because the mean of its divisors is an integer number (155514240).

Almost surely, 25114414304 is an apocalyptic number.

5114414304 is a gapful number since it is divisible by the number (54) 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 5114414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464683520).

5114414304 is an abundant number, since it is smaller than the sum of its proper divisors (9814952736).

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

5114414304 is a wasteful number, since it uses less digits than its factorization.

5114414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5114414304 is about 71515.1333914718. The cubic root of 5114414304 is about 1722.9207522297.

Adding to 5114414304 its reverse (4034144115), we get a palindrome (9148558419).

The spelling of 5114414304 in words is "five billion, one hundred fourteen million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2203 2687 4406 5374 6609 8061 8812 10748 13218 16122 17624 19827 21496 24183 26436 32244 35248 39654 42992 48366 52872 59481 64488 70496 72549 79308 85984 96732 105744 118962 128976 145098 158616 193464 211488 237924 257952 290196 317232 386928 475848 580392 634464 773856 951696 1160784 1903392 2321568 5919461 11838922 17758383 23677844 35516766 47355688 53275149 71033532 94711376 106550298 142067064 159825447 189422752 213100596 284134128 319650894 426201192 568268256 639301788 852402384 1278603576 1704804768 2557207152 5114414304