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5144245120 = 275710111369
BaseRepresentation
bin1001100101001111…
…01111001110000000
3111021111210201200001
410302213233032000
541013411320440
62210243005344
7241323235120
oct46247571600
914244721601
105144245120
1121aa879553
12bb6969854
1363c9c4231
1436b2ccc80
1520194ab9a
hex1329ef380

5144245120 has 128 divisors (see below), whose sum is σ = 14195217600. Its totient is φ = 1746124800.

The previous prime is 5144245039. The next prime is 5144245129. The reversal of 5144245120 is 215424415.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144245129) 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, 446796 + ... + 458164.

Almost surely, 25144245120 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 5144245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097608800).

5144245120 is an abundant number, since it is smaller than the sum of its proper divisors (9050972480).

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

5144245120 is a wasteful number, since it uses less digits than its factorization.

5144245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5144245120 is about 71723.3931154961. The cubic root of 5144245120 is about 1726.2640173271.

Adding to 5144245120 its reverse (215424415), we get a palindrome (5359669535).

The spelling of 5144245120 in words is "five billion, one hundred forty-four million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 280 320 404 448 505 560 640 707 808 896 1010 1120 1414 1616 2020 2240 2828 3232 3535 4040 4480 5656 6464 7070 8080 11312 11369 12928 14140 16160 22624 22738 28280 32320 45248 45476 56560 56845 64640 79583 90496 90952 113120 113690 159166 181904 226240 227380 318332 363808 397915 452480 454760 636664 727616 795830 909520 1148269 1273328 1455232 1591660 1819040 2296538 2546656 3183320 3638080 4593076 5093312 5741345 6366640 7276160 8037883 9186152 10186624 11482690 12733280 16075766 18372304 22965380 25466560 32151532 36744608 40189415 45930760 50933120 64303064 73489216 80378830 91861520 128606128 146978432 160757660 183723040 257212256 321515320 367446080 514424512 643030640 734892160 1028849024 1286061280 2572122560 5144245120