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5120042144 = 257223141971
BaseRepresentation
bin1001100010010110…
…11010010010100000
3111012211021002102112
410301023122102200
540441212322034
62204020134452
7240610432400
oct46113322240
914184232375
105120042144
112198148498
12baa837428
1363799ba49
14367dcc800
151ee7697ce
hex1312da4a0

5120042144 has 72 divisors (see below), whose sum is σ = 12235714848. Its totient is φ = 2098884480.

The previous prime is 5120042143. The next prime is 5120042159. The reversal of 5120042144 is 4412400215.

It is a super-2 number, since 2×51200421442 = 52429663112672233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (5120042143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34922 + ... + 107049.

It is an arithmetic number, because the mean of its divisors is an integer number (169940484).

Almost surely, 25120042144 is an apocalyptic number.

It is an amenable number.

5120042144 is an abundant number, since it is smaller than the sum of its proper divisors (7115672704).

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

5120042144 is a wasteful number, since it uses less digits than its factorization.

5120042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142018 (or 142003 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 5120042144 is about 71554.4697695399. The cubic root of 5120042144 is about 1723.5524809967.

Adding to 5120042144 its reverse (4412400215), we get a palindrome (9532442359).

The spelling of 5120042144 in words is "five billion, one hundred twenty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 141971 283942 567884 993797 1135768 1987594 2271536 3265333 3975188 4543072 6530666 6956579 7950376 13061332 13913158 15900752 22857331 26122664 27826316 31801504 45714662 52245328 55652632 91429324 104490656 111305264 160001317 182858648 222610528 320002634 365717296 640005268 731434592 1280010536 2560021072 5120042144