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4014313020 = 2234517712053
BaseRepresentation
bin1110111101000101…
…1000111000111100
3101100202122020020000
43233101120320330
531210131004040
61502200354300
7201323045334
oct35721307074
911322566200
104014313020
11177aa7a873
12940475990
134bc893463
142a11dc0c4
15187651130
hexef458e3c

4014313020 has 240 divisors, whose sum is σ = 13528202688. Its totient is φ = 992839680.

The previous prime is 4014312983. The next prime is 4014313021. The reversal of 4014313020 is 203134104.

It is a super-2 number, since 2×40143130202 = 32229418045083040800, 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 = 4014312984 and 4014313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014313021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1954314 + ... + 1956366.

Almost surely, 24014313020 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 4014313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764101344).

4014313020 is an abundant number, since it is smaller than the sum of its proper divisors (9513889668).

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

4014313020 is a wasteful number, since it uses less digits than its factorization.

4014313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4014313020 is about 63358.6065187674. The cubic root of 4014313020 is about 1589.2921733708.

Adding to 4014313020 its reverse (203134104), we get a palindrome (4217447124).

The spelling of 4014313020 in words is "four billion, fourteen million, three hundred thirteen thousand, twenty".