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4130403140 = 2254127118587
BaseRepresentation
bin1111011000110000…
…1111001101000100
3101122212002012221002
43312030033031010
531424340400030
61521504512432
7204232563443
oct36614171504
911585065832
104130403140
11182a561016
1297331b718
1350a94b836
142b27bad5a
15192933245
hexf630f344

4130403140 has 48 divisors (see below), whose sum is σ = 8918671104. Its totient is φ = 1605830400.

The previous prime is 4130403131. The next prime is 4130403149. The reversal of 4130403140 is 413040314.

It is a happy number.

4130403140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4130403131) and next prime (4130403149).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4130403149) 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, 212927 + ... + 231513.

It is an arithmetic number, because the mean of its divisors is an integer number (185805648).

Almost surely, 24130403140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459335552).

4130403140 is an abundant number, since it is smaller than the sum of its proper divisors (4788267964).

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

4130403140 is a wasteful number, since it uses less digits than its factorization.

4130403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18908 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4130403140 is about 64268.2125159865. The cubic root of 4130403140 is about 1604.4670920941.

Adding to 4130403140 its reverse (413040314), we get a palindrome (4543443454).

The spelling of 4130403140 in words is "four billion, one hundred thirty million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 18587 22222 37174 44444 55555 74348 92935 111110 185870 222220 371740 762067 1524134 3048268 3810335 5037077 7620670 10074154 15241340 20148308 25185385 50370770 100741540 206520157 413040314 826080628 1032600785 2065201570 4130403140