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4114133240 = 235729574969
BaseRepresentation
bin1111010100111000…
…1011000011111000
3101121201110121211012
43311032023003320
531411204230430
61520124053052
7203644361360
oct36516130370
911551417735
104114133240
111821359218
12969994188
13507473189
142b05839a0
151912bc695
hexf538b0f8

4114133240 has 64 divisors (see below), whose sum is σ = 10584907200. Its totient is φ = 1409799168.

The previous prime is 4114133239. The next prime is 4114133281. The reversal of 4114133240 is 423314114.

It is a congruent number.

It is an unprimeable number.

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, 825476 + ... + 830444.

It is an arithmetic number, because the mean of its divisors is an integer number (165389175).

Almost surely, 24114133240 is an apocalyptic number.

4114133240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114133240 is an abundant number, since it is smaller than the sum of its proper divisors (6470773960).

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

4114133240 is a wasteful number, since it uses less digits than its factorization.

4114133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4114133240 is about 64141.5094926834. The cubic root of 4114133240 is about 1602.3576232599.

Adding to 4114133240 its reverse (423314114), we get a palindrome (4537447354).

The spelling of 4114133240 in words is "four billion, one hundred fourteen million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2957 4969 5914 9938 11828 14785 19876 20699 23656 24845 29570 34783 39752 41398 49690 59140 69566 82796 99380 103495 118280 139132 165592 173915 198760 206990 278264 347830 413980 695660 827960 1391320 14693333 29386666 58773332 73466665 102853331 117546664 146933330 205706662 293866660 411413324 514266655 587733320 822826648 1028533310 2057066620 4114133240