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420140331 = 33131973863
BaseRepresentation
bin11001000010101…
…101010100101011
31002021120100012000
4121002231110223
51330023442311
6105405022043
713261063632
oct3102552453
91067510160
10420140331
111a6181716
12b8854923
1369073860
143db28519
1526d41056
hex190ad52b

420140331 has 64 divisors (see below), whose sum is σ = 716083200. Its totient is φ = 241304832.

The previous prime is 420140327. The next prime is 420140339. The reversal of 420140331 is 133041024.

It is not a de Polignac number, because 420140331 - 22 = 420140327 is a prime.

It is a super-2 number, since 2×4201403312 = 353035795465579122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420140339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486406 + ... + 487268.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 2420140331 is an apocalyptic number.

420140331 is a deficient number, since it is larger than the sum of its proper divisors (295942869).

420140331 is a wasteful number, since it uses less digits than its factorization.

420140331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420140331 is about 20497.3249718103. The cubic root of 420140331 is about 748.9706358590.

Adding to 420140331 its reverse (133041024), we get a palindrome (553181355).

The spelling of 420140331 in words is "four hundred twenty million, one hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 13 19 27 39 57 73 117 171 219 247 351 513 657 741 863 949 1387 1971 2223 2589 2847 4161 6669 7767 8541 11219 12483 16397 18031 23301 25623 33657 37449 49191 54093 62999 100971 147573 162279 188997 213161 302913 442719 486837 566991 639483 818987 1196981 1700973 1918449 2456961 3590943 5755347 7370883 10772829 15560753 22112649 32318487 46682259 140046777 420140331