Search a number
-
+
4024011021120 = 263251397226049
BaseRepresentation
bin111010100011101001101…
…111110101101101000000
3112020200200020122221202200
4322203221233311231000
51011412133310133440
612320334413313200
7563503513215126
oct72435157655500
915220606587680
104024011021120
111311634352182
1254ba69195800
1323260248333c
14dca98207916
156ea18e26c30
hex3a8e9bf5b40

4024011021120 has 84 divisors (see below), whose sum is σ = 13840921251300. Its totient is φ = 1073069604864.

The previous prime is 4024011021073. The next prime is 4024011021161. The reversal of 4024011021120 is 211201104204.

4024011021120 is a `hidden beast` number, since 40 + 2 + 401 + 10 + 211 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2482817884416 + 1541193136704 = 1575696^2 + 1241448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4024011021093 and 4024011021102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698610145 + ... + 698615904.

Almost surely, 24024011021120 is an apocalyptic number.

4024011021120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024011021120 is an abundant number, since it is smaller than the sum of its proper divisors (9816910230180).

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

4024011021120 is a wasteful number, since it uses less digits than its factorization.

4024011021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397226072 (or 1397226059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4024011021120 its reverse (211201104204), we get a palindrome (4235212125324).

The spelling of 4024011021120 in words is "four trillion, twenty-four billion, eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1397226049 2794452098 4191678147 5588904196 6986130245 8383356294 11177808392 12575034441 13972260490 16766712588 20958390735 22355616784 25150068882 27944520980 33533425176 41916781470 44711233568 50300137764 55889041960 62875172205 67066850352 83833562940 89422467136 100600275528 111778083920 125750344410 134133700704 167667125880 201200551056 223556167840 251500688820 268267401408 335334251760 402401102112 447112335680 503001377640 670668503520 804802204224 1006002755280 1341337007040 2012005510560 4024011021120