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5144206040 = 2354113012411
BaseRepresentation
bin1001100101001111…
…00101101011011000
3111021111201202001122
410302213211223120
541013404043130
62210242104412
7241323013151
oct46247455330
914244652048
105144206040
1121aa852156
12bb694b108
1363c9ac4cc
1436b2bc928
1520193e2e5
hex1329e5ad8

5144206040 has 64 divisors (see below), whose sum is σ = 11870802720. Its totient is φ = 2005120000.

The previous prime is 5144206031. The next prime is 5144206049. The reversal of 5144206040 is 406024415.

It is an interprime number because it is at equal distance from previous prime (5144206031) and next prime (5144206049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144206049) 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, 2132435 + ... + 2134845.

Almost surely, 25144206040 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 5144206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935401360).

5144206040 is an abundant number, since it is smaller than the sum of its proper divisors (6726596680).

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

5144206040 is a wasteful number, since it uses less digits than its factorization.

5144206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5144206040 is about 71723.1206794573. The cubic root of 5144206040 is about 1726.2596459330.

The spelling of 5144206040 in words is "five billion, one hundred forty-four million, two hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1301 1640 2411 2602 4822 5204 6505 9644 10408 12055 13010 19288 24110 26020 48220 52040 53341 96440 98851 106682 197702 213364 266705 395404 426728 494255 533410 790808 988510 1066820 1977020 2133640 3136711 3954040 6273422 12546844 15683555 25093688 31367110 62734220 125468440 128605151 257210302 514420604 643025755 1028841208 1286051510 2572103020 5144206040