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4141119492 = 2238157793
BaseRepresentation
bin1111011011010100…
…0111100000000100
3101200121020200000000
43312311013200010
531440111310432
61522530321300
7204422635446
oct36665074004
911617220000
104141119492
111835610404
12976a29230
1350cc31483
142b3daa496
1519384d57c
hexf6d47804

4141119492 has 54 divisors (see below), whose sum is σ = 10869955278. Its totient is φ = 1380364416.

The previous prime is 4141119461. The next prime is 4141119497. The reversal of 4141119492 is 2949111414.

It can be written as a sum of positive squares in only one way, i.e., 3534778116 + 606341376 = 59454^2 + 24624^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4141119497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52653 + ... + 105140.

Almost surely, 24141119492 is an apocalyptic number.

It is an amenable number.

4141119492 is an abundant number, since it is smaller than the sum of its proper divisors (6728835786).

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

4141119492 is an equidigital number, since it uses as much as digits as its factorization.

4141119492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157821 (or 157798 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 4141119492 is about 64351.5306111673. The cubic root of 4141119492 is about 1605.8534931259.

The spelling of 4141119492 in words is "four billion, one hundred forty-one million, one hundred nineteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 157793 315586 473379 631172 946758 1420137 1893516 2840274 4260411 5680548 8520822 12781233 17041644 25562466 38343699 51124932 76687398 115031097 153374796 230062194 345093291 460124388 690186582 1035279873 1380373164 2070559746 4141119492