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4115420144 = 241161715399
BaseRepresentation
bin1111010101001100…
…0101001111110000
3101121210220000010022
43311103011033300
531412021421034
61520211423012
7203661331313
oct36523051760
911553800108
104115420144
111822058080
1296a2b4a68
13507803b64
142b07da97a
15191473b2e
hexf54c53f0

4115420144 has 80 divisors (see below), whose sum is σ = 8967283200. Its totient is φ = 1813728000.

The previous prime is 4115420137. The next prime is 4115420147. The reversal of 4115420144 is 4410245114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115420147) 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 15 ways as a sum of consecutive naturals, for example, 759557 + ... + 764955.

It is an arithmetic number, because the mean of its divisors is an integer number (112091040).

Almost surely, 24115420144 is an apocalyptic number.

4115420144 is a gapful number since it is divisible by the number (44) 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 4115420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483641600).

4115420144 is an abundant number, since it is smaller than the sum of its proper divisors (4851863056).

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

4115420144 is a wasteful number, since it uses less digits than its factorization.

4115420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 4115420144 is about 64151.5404647464. The cubic root of 4115420144 is about 1602.5246787363.

Adding to 4115420144 its reverse (4410245114), we get a palindrome (8525665258).

The spelling of 4115420144 in words is "four billion, one hundred fifteen million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 61 71 88 122 142 176 244 284 488 568 671 781 976 1136 1342 1562 2684 3124 4331 5368 5399 6248 8662 10736 10798 12496 17324 21596 34648 43192 47641 59389 69296 86384 95282 118778 190564 237556 329339 381128 383329 475112 658678 762256 766658 950224 1317356 1533316 2634712 3066632 3622729 4216619 5269424 6133264 7245458 8433238 14490916 16866476 23383069 28981832 33732952 46766138 57963664 67465904 93532276 187064552 257213759 374129104 514427518 1028855036 2057710072 4115420144