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4130240233 = 722953173317
BaseRepresentation
bin1111011000101110…
…0111011011101001
3101122211202221110111
43312023213123221
531424320141413
61521501214321
7204231314500
oct36613473351
911584687414
104130240233
11182a45a689
129732613a1
1350a8c2642
142b2777837
151928eed3d
hexf62e76e9

4130240233 has 48 divisors (see below), whose sum is σ = 5109356880. Its totient is φ = 3323733504.

The previous prime is 4130240207. The next prime is 4130240239. The reversal of 4130240233 is 3320420314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35904064 + 4094336169 = 5992^2 + 63987^2 .

It is not a de Polignac number, because 4130240233 - 29 = 4130239721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4130240239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13028991 + ... + 13029307.

It is an arithmetic number, because the mean of its divisors is an integer number (106444935).

Almost surely, 24130240233 is an apocalyptic number.

It is an amenable number.

4130240233 is a deficient number, since it is larger than the sum of its proper divisors (979116647).

4130240233 is a wasteful number, since it uses less digits than its factorization.

4130240233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4130240233 is about 64266.9451039957. The cubic root of 4130240233 is about 1604.4459979178.

Adding to 4130240233 its reverse (3320420314), we get a palindrome (7450660547).

The spelling of 4130240233 in words is "four billion, one hundred thirty million, two hundred forty thousand, two hundred thirty-three".

Divisors: 1 7 29 49 53 173 203 317 371 1211 1421 1537 2219 2597 5017 8477 9169 9193 10759 15533 16801 35119 54841 64183 64351 75313 117607 245833 265901 383887 449281 450457 487229 823249 1590389 1861307 2687209 2906573 3410603 11132723 13029149 20346011 23874221 77929061 84290617 142422077 590034319 4130240233