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5144063120 = 245723142331
BaseRepresentation
bin1001100101001110…
…00010110010010000
3111021111110111000022
410302213002302100
541013340004440
62210235043012
7241321546400
oct46247026220
914244414008
105144063120
1121aa764839
12bb68a0468
1363c95c441
1436b282800
15201911cb5
hex1329c2c90

5144063120 has 120 divisors (see below), whose sum is σ = 14361723648. Its totient is φ = 1706745600.

The previous prime is 5144063107. The next prime is 5144063129. The reversal of 5144063120 is 213604415.

It is a super-2 number, since 2×51440631202 = 52922770765088268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5144063120.

It is not an unprimeable number, because it can be changed into a prime (5144063129) 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 23 ways as a sum of consecutive naturals, for example, 100355 + ... + 142685.

Almost surely, 25144063120 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 5144063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180861824).

5144063120 is an abundant number, since it is smaller than the sum of its proper divisors (9217660528).

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

5144063120 is a wasteful number, since it uses less digits than its factorization.

5144063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42389 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5144063120 is about 71722.1243410985. The cubic root of 5144063120 is about 1726.2436590595.

Adding to 5144063120 its reverse (213604415), we get a palindrome (5357667535).

The spelling of 5144063120 in words is "five billion, one hundred forty-four million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1960 2170 2480 3038 3472 3920 4340 6076 7595 8680 12152 15190 17360 24304 30380 42331 60760 84662 121520 169324 211655 296317 338648 423310 592634 677296 846620 1185268 1312261 1481585 1693240 2074219 2370536 2624522 2963170 3386480 4148438 4741072 5249044 5926340 6561305 8296876 9185827 10371095 10498088 11852680 13122610 16593752 18371654 20742190 20996176 23705360 26245220 33187504 36743308 41484380 45929135 52490440 64300789 73486616 82968760 91858270 104980880 128601578 146973232 165937520 183716540 257203156 321503945 367433080 514406312 643007890 734866160 1028812624 1286015780 2572031560 5144063120