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4014142220 = 2251182722063
BaseRepresentation
bin1110111101000010…
…1111001100001100
3101100202022112221002
43233100233030030
531210110022340
61502152555432
7201321434354
oct35720571414
911322275832
104014142220
11177a973510
129403b2b78
134bc8337aa
142a1195b64
1518761a715
hexef42f30c

4014142220 has 48 divisors (see below), whose sum is σ = 9207571968. Its totient is φ = 1457856960.

The previous prime is 4014142199. The next prime is 4014142241. The reversal of 4014142220 is 222414104.

It is an interprime number because it is at equal distance from previous prime (4014142199) and next prime (4014142241).

It is a super-2 number, since 2×40141422202 = 32226675524773056800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4014142192 and 4014142201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170909 + ... + 192971.

It is an arithmetic number, because the mean of its divisors is an integer number (191824416).

Almost surely, 24014142220 is an apocalyptic number.

It is an amenable number.

4014142220 is an abundant number, since it is smaller than the sum of its proper divisors (5193429748).

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

4014142220 is a wasteful number, since it uses less digits than its factorization.

4014142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22910 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4014142220 is about 63357.2586212503. The cubic root of 4014142220 is about 1589.2696327807.

Adding to 4014142220 its reverse (222414104), we get a palindrome (4236556324).

The spelling of 4014142220 in words is "four billion, fourteen million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 827 1654 3308 4135 8270 9097 16540 18194 22063 36388 44126 45485 88252 90970 110315 181940 220630 242693 441260 485386 970772 1213465 2426930 4853860 18246101 36492202 72984404 91230505 182461010 200707111 364922020 401414222 802828444 1003535555 2007071110 4014142220