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4154040404514 = 23272112132994149
BaseRepresentation
bin111100011100110000000…
…110100100101000100010
3112201010022012220000211100
4330130300012210220202
51021024433320421024
612500201222255230
7606055664562300
oct74346006445042
915633265800740
104154040404514
11136179a570500
125710b7887516
132419554752a0
141050b1561270
15730c96417c9
hex3c7301a4a22

4154040404514 has 216 divisors, whose sum is σ = 12393463527900. Its totient is φ = 995973390720.

The previous prime is 4154040404513. The next prime is 4154040404531.

4154040404514 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3336164351289 + 817876053225 = 1826517^2 + 904365^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4154040404513) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 109689 + ... + 2884460.

Almost surely, 24154040404514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4154040404514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196731763950).

4154040404514 is an abundant number, since it is smaller than the sum of its proper divisors (8239423123386).

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

4154040404514 is a wasteful number, since it uses less digits than its factorization.

4154040404514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994206 (or 2994185 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 4154040 and 404514, that added together give a palindrome (4558554).

The spelling of 4154040404514 in words is "four trillion, one hundred fifty-four billion, forty million, four hundred four thousand, five hundred fourteen".