Search a number
-
+
4016365144 = 2311268317011
BaseRepresentation
bin1110111101100100…
…1101111001011000
3101100220111111012121
43233121031321120
531211142141034
61502312351024
7201346353241
oct35731157130
911326444177
104016365144
111781151640
129410a5474
134c013152c
142a15b3cc8
151879091b4
hexef64de58

4016365144 has 32 divisors (see below), whose sum is σ = 8218837440. Its totient is φ = 1824832800.

The previous prime is 4016365139. The next prime is 4016365147. The reversal of 4016365144 is 4415636104.

It is a super-2 number, since 2×40163651442 = 32262377939876281472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016365147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 227599 + ... + 244609.

It is an arithmetic number, because the mean of its divisors is an integer number (256838670).

Almost surely, 24016365144 is an apocalyptic number.

4016365144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4016365144 is an abundant number, since it is smaller than the sum of its proper divisors (4202472296).

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

4016365144 is a wasteful number, since it uses less digits than its factorization.

4016365144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19711 (or 19707 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 4016365144 is about 63374.7989661506. The cubic root of 4016365144 is about 1589.5629435711.

The spelling of 4016365144 in words is "four billion, sixteen million, three hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 2683 5366 10732 17011 21464 29513 34022 59026 68044 118052 136088 187121 236104 374242 748484 1496968 45640513 91281026 182562052 365124104 502045643 1004091286 2008182572 4016365144