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4144245240 = 2335131926183
BaseRepresentation
bin1111011100000100…
…0010100111111000
3101200211010110201110
43313001002213320
531441411321430
61523121320320
7204461334432
oct36701024770
911624113643
104144245240
111837355873
12977a960a0
13510787125
142b4581652
15193c697b0
hexf70429f8

4144245240 has 64 divisors (see below), whose sum is σ = 12442636800. Its totient is φ = 1104252032.

The previous prime is 4144245223. The next prime is 4144245253. The reversal of 4144245240 is 425424414.

4144245240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4144245198 and 4144245207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145189 + ... + 171371.

It is an arithmetic number, because the mean of its divisors is an integer number (194416200).

Almost surely, 24144245240 is an apocalyptic number.

4144245240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144245240 is an abundant number, since it is smaller than the sum of its proper divisors (8298391560).

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

4144245240 is a wasteful number, since it uses less digits than its factorization.

4144245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27516 (or 27512 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4144245240 is about 64375.8125385614. The cubic root of 4144245240 is about 1606.2574282588.

Adding to 4144245240 its reverse (425424414), we get a palindrome (4569669654).

The spelling of 4144245240 in words is "four billion, one hundred forty-four million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1319 2638 3957 5276 6595 7914 10552 13190 15828 19785 26183 26380 31656 39570 52366 52760 78549 79140 104732 130915 157098 158280 209464 261830 314196 392745 523660 628392 785490 1047320 1570980 3141960 34535377 69070754 103606131 138141508 172676885 207212262 276283016 345353770 414424524 518030655 690707540 828849048 1036061310 1381415080 2072122620 4144245240