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4114133140 = 2251329545641
BaseRepresentation
bin1111010100111000…
…1011000010010100
3101121201110121200111
43311032023002110
531411204230030
61520124052404
7203644361155
oct36516130224
911551417614
104114133140
111821359137
12969994104
13507473110
142b058392c
151912bc62a
hexf538b094

4114133140 has 48 divisors (see below), whose sum is σ = 9625124880. Its totient is φ = 1466680320.

The previous prime is 4114133131. The next prime is 4114133147. The reversal of 4114133140 is 413314114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 726194704 + 3387938436 = 26948^2 + 58206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114133147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265281 + ... + 280360.

It is an arithmetic number, because the mean of its divisors is an integer number (200523435).

Almost surely, 24114133140 is an apocalyptic number.

It is an amenable number.

4114133140 is an abundant number, since it is smaller than the sum of its proper divisors (5510991740).

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

4114133140 is a wasteful number, since it uses less digits than its factorization.

4114133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545692 (or 545690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4114133140 is about 64141.5087131570. The cubic root of 4114133140 is about 1602.3576102773.

Adding to 4114133140 its reverse (413314114), we get a palindrome (4527447254).

The spelling of 4114133140 in words is "four billion, one hundred fourteen million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 545641 1091282 2182564 2728205 5456410 7093333 10912820 14186666 15823589 28373332 31647178 35466665 63294356 70933330 79117945 141866660 158235890 205706657 316471780 411413314 822826628 1028533285 2057066570 4114133140