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4114145360 = 245133955909
BaseRepresentation
bin1111010100111000…
…1110000001010000
3101121201111020110002
43311032032001100
531411210122420
61520124225132
7203644441613
oct36516160120
911551436402
104114145360
111821367336
1296999b1a8
13507478850
142b058817a
151912c1075
hexf538e050

4114145360 has 40 divisors (see below), whose sum is σ = 10301189640. Its totient is φ = 1519068672.

The previous prime is 4114145359. The next prime is 4114145363. The reversal of 4114145360 is 635414114.

It can be written as a sum of positive squares in 4 ways, for example, as 137077264 + 3977068096 = 11708^2 + 63064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114145363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976915 + ... + 1978994.

It is an arithmetic number, because the mean of its divisors is an integer number (257529741).

Almost surely, 24114145360 is an apocalyptic number.

4114145360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114145360 is an abundant number, since it is smaller than the sum of its proper divisors (6187044280).

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

4114145360 is a wasteful number, since it uses less digits than its factorization.

4114145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955935 (or 3955929 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4114145360 is about 64141.6039712136. The cubic root of 4114145360 is about 1602.3591967428.

Adding to 4114145360 its reverse (635414114), we get a palindrome (4749559474).

The spelling of 4114145360 in words is "four billion, one hundred fourteen million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3955909 7911818 15823636 19779545 31647272 39559090 51426817 63294544 79118180 102853634 158236360 205707268 257134085 316472720 411414536 514268170 822829072 1028536340 2057072680 4114145360