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4131661314 = 2311371691917
BaseRepresentation
bin1111011001000100…
…0010011000000010
3101122221110010211010
43312101002120002
531430201130224
61521551501350
7204246353544
oct36621023002
911587403733
104131661314
111830240330
12973827856
1350ac9c411
142b2a27694
15192ad0e29
hexf6442602

4131661314 has 32 divisors (see below), whose sum is σ = 9258175296. Its totient is φ = 1218179520.

The previous prime is 4131661243. The next prime is 4131661367.

4131661314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843517 + ... + 848400.

It is an arithmetic number, because the mean of its divisors is an integer number (289317978).

Almost surely, 24131661314 is an apocalyptic number.

4131661314 is an abundant number, since it is smaller than the sum of its proper divisors (5126513982).

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

4131661314 is a wasteful number, since it uses less digits than its factorization.

4131661314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691970.

The product of its digits is 5184, while the sum is 30.

The square root of 4131661314 is about 64278.0002333613. Note that the first 3 decimals coincide. The cubic root of 4131661314 is about 1604.6299893362.

Subtracting from 4131661314 its sum of digits (30), we obtain a square (4131661284 = 642782).

The spelling of 4131661314 in words is "four billion, one hundred thirty-one million, six hundred sixty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 1691917 3383834 5075751 10151502 18611087 37222174 55833261 62600929 111666522 125201858 187802787 375605574 688610219 1377220438 2065830657 4131661314