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4014122020 = 2251912783177
BaseRepresentation
bin1110111101000010…
…1010010000100100
3101100202021112012221
43233100222100210
531210103401040
61502152322124
7201321321436
oct35720522044
911322245187
104014122020
11177a95a317
129403a3344
134bc82753c
142a118c656
1518761474a
hexef42a424

4014122020 has 48 divisors (see below), whose sum is σ = 8943298560. Its totient is φ = 1509145344.

The previous prime is 4014121973. The next prime is 4014122033. The reversal of 4014122020 is 202214104.

It is a super-2 number, since 2×40141220202 = 32226351182897760800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014121985 and 4014122003.

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, 6672 + ... + 89848.

It is an arithmetic number, because the mean of its divisors is an integer number (186318720).

Almost surely, 24014122020 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 4014122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471649280).

4014122020 is an abundant number, since it is smaller than the sum of its proper divisors (4929176540).

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

4014122020 is a wasteful number, since it uses less digits than its factorization.

4014122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83332 (or 83330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4014122020 is about 63357.0992075868. The cubic root of 4014122020 is about 1589.2669669309.

Adding to 4014122020 its reverse (202214104), we get a palindrome (4216336124).

The spelling of 4014122020 in words is "four billion, fourteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 380 508 635 1270 2413 2540 4826 9652 12065 24130 48260 83177 166354 332708 415885 831770 1580363 1663540 3160726 6321452 7901815 10563479 15803630 21126958 31607260 42253916 52817395 105634790 200706101 211269580 401412202 802824404 1003530505 2007061010 4014122020