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4014124020 = 223358389561
BaseRepresentation
bin1110111101000010…
…1010101111110100
3101100202021121222000
43233100222233310
531210103432040
61502152335300
7201321330324
oct35720525764
911322247860
104014124020
11177a960875
129403a4530
134bc82841a
142a118d284
15187615130
hexef42abf4

4014124020 has 96 divisors (see below), whose sum is σ = 12638989440. Its totient is φ = 1057524480.

The previous prime is 4014123989. The next prime is 4014124039. The reversal of 4014124020 is 204214104.

4014124020 is a `hidden beast` number, since 401 + 4 + 1 + 240 + 20 = 666.

It is a super-2 number, since 2×40141240202 = 32226383295881920800, which contains 22 as substring.

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 = 4014123984 and 4014124002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40 + ... + 89600.

It is an arithmetic number, because the mean of its divisors is an integer number (131656140).

Almost surely, 24014124020 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 4014124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319494720).

4014124020 is an abundant number, since it is smaller than the sum of its proper divisors (8624865420).

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

4014124020 is a wasteful number, since it uses less digits than its factorization.

4014124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89662 (or 89654 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4014124020 is about 63357.1149911358. The cubic root of 4014124020 is about 1589.2672308768.

Adding to 4014124020 its reverse (204214104), we get a palindrome (4218338124).

The spelling of 4014124020 in words is "four billion, fourteen million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 44820 89561 179122 268683 358244 447805 537366 806049 895610 1074732 1343415 1612098 1791220 2418147 2686830 3224196 4030245 4836294 5373660 7433563 8060490 9672588 12090735 14867126 16120980 22300689 24181470 29734252 37167815 44601378 48362940 66902067 74335630 89202756 111503445 133804134 148671260 200706201 223006890 267608268 334510335 401412402 446013780 669020670 802824804 1003531005 1338041340 2007062010 4014124020