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4144030420 = 2254773131461
BaseRepresentation
bin1111011100000000…
…1110001011010100
3101200210201120001011
43313000032023110
531441332433140
61523112542004
7204456451225
oct36700161324
911623646034
104144030420
111837219432
129779b1904
1351071040a
142b452724c
15193c25cea
hexf700e2d4

4144030420 has 96 divisors (see below), whose sum is σ = 9097837056. Its totient is φ = 1584460800.

The previous prime is 4144030417. The next prime is 4144030459. The reversal of 4144030420 is 240304414.

It is a junction number, because it is equal to n+sod(n) for n = 4144030391 and 4144030400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8988990 + ... + 8989450.

It is an arithmetic number, because the mean of its divisors is an integer number (94769136).

Almost surely, 24144030420 is an apocalyptic number.

It is an amenable number.

4144030420 is an abundant number, since it is smaller than the sum of its proper divisors (4953806636).

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

4144030420 is a wasteful number, since it uses less digits than its factorization.

4144030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4144030420 is about 64374.1440331442. The cubic root of 4144030420 is about 1606.2296739342.

Adding to 4144030420 its reverse (240304414), we get a palindrome (4384334834).

The spelling of 4144030420 in words is "four billion, one hundred forty-four million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 73 94 131 146 188 235 262 292 365 461 470 524 655 730 922 940 1310 1460 1844 2305 2620 3431 4610 6157 6862 9220 9563 12314 13724 17155 19126 21667 24628 30785 33653 34310 38252 43334 47815 60391 61570 67306 68620 86668 95630 108335 120782 123140 134612 168265 191260 216670 241564 301955 336530 433340 449461 603910 673060 898922 1207820 1581691 1797844 2247305 2838377 3163382 4408543 4494610 5676754 6326764 7908455 8817086 8989220 11353508 14191885 15816910 17634172 22042715 28383770 31633820 44085430 56767540 88170860 207201521 414403042 828806084 1036007605 2072015210 4144030420