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4134154131 = 322959674007
BaseRepresentation
bin1111011001101010…
…0010111110010011
3101200010010210022200
43312122202332103
531431320413011
61522121134243
7204306505332
oct36632427623
911603123280
104134154131
111831693208
1297462a383
1350b662c63
142b30b5d19
15192e24856
hexf66a2f93

4134154131 has 48 divisors (see below), whose sum is σ = 6377529600. Its totient is φ = 2576274624.

The previous prime is 4134154127. The next prime is 4134154147. The reversal of 4134154131 is 1314514314.

It is not a de Polignac number, because 4134154131 - 22 = 4134154127 is a prime.

It is a super-2 number, since 2×41341541312 = 34182460757728730322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4134154095 and 4134154104.

It is not an unprimeable number, because it can be changed into a prime (4134154111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029730 + ... + 1033736.

It is an arithmetic number, because the mean of its divisors is an integer number (132865200).

Almost surely, 24134154131 is an apocalyptic number.

4134154131 is a deficient number, since it is larger than the sum of its proper divisors (2243375469).

4134154131 is a wasteful number, since it uses less digits than its factorization.

4134154131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4165 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4134154131 is about 64297.3882128971. The cubic root of 4134154131 is about 1604.9526395901.

Adding to 4134154131 its reverse (1314514314), we get a palindrome (5448668445).

The spelling of 4134154131 in words is "four billion, one hundred thirty-four million, one hundred fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 29 59 67 87 177 201 261 531 603 1711 1943 3953 4007 5133 5829 11859 12021 15399 17487 35577 36063 114637 116203 236413 268469 343911 348609 709239 805407 1031733 1045827 2127717 2416221 6855977 7785601 15839671 20567931 23356803 47519013 61703793 70070409 142557039 459350459 1378051377 4134154131