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4014312120 = 23325713181677
BaseRepresentation
bin1110111101000101…
…1000101010111000
3101100202122011222200
43233101120222320
531210130441440
61502200350200
7201323042610
oct35721305270
911322564880
104014312120
11177aa7a125
12940475360
134bc892c20
142a11dba40
15187650c30
hexef458ab8

4014312120 has 384 divisors, whose sum is σ = 16169811840. Its totient is φ = 841052160.

The previous prime is 4014312103. The next prime is 4014312209. The reversal of 4014312120 is 212134104.

It is a super-2 number, since 2×40143121202 = 32229403593557788800, 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 = 4014312093 and 4014312102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5929222 + ... + 5929898.

It is an arithmetic number, because the mean of its divisors is an integer number (42108885).

Almost surely, 24014312120 is an apocalyptic number.

4014312120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084905920).

4014312120 is an abundant number, since it is smaller than the sum of its proper divisors (12155499720).

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

4014312120 is a wasteful number, since it uses less digits than its factorization.

4014312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4014312120 is about 63358.5994163381. The cubic root of 4014312120 is about 1589.2920545989.

Adding to 4014312120 its reverse (212134104), we get a palindrome (4226446224).

The spelling of 4014312120 in words is "four billion, fourteen million, three hundred twelve thousand, one hundred twenty".