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424122140331 = 32499682913829
BaseRepresentation
bin1100010101111111010…
…01100100011010101011
31111112201210122001201200
412022333221210122223
523422100231442311
6522501121215243
742433066465521
oct6127751443253
91445653561650
10424122140331
1115396198946a
126a245791523
1330cc1030866
1416755b14311
15b0744b4556
hex62bfa646ab

424122140331 has 24 divisors (see below), whose sum is σ = 613982850000. Its totient is φ = 282119740992.

The previous prime is 424122140317. The next prime is 424122140389. The reversal of 424122140331 is 133041221424.

424122140331 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 221 + 403 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-424122140331 is a prime.

It is a super-2 number, since 2×4241221403312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424122140295 and 424122140304.

It is not an unprimeable number, because it can be changed into a prime (424122145331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30662125 + ... + 30675953.

It is an arithmetic number, because the mean of its divisors is an integer number (25582618750).

Almost surely, 2424122140331 is an apocalyptic number.

424122140331 is a deficient number, since it is larger than the sum of its proper divisors (189860709669).

424122140331 is a wasteful number, since it uses less digits than its factorization.

424122140331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21163 (or 21160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 424122140331 its reverse (133041221424), we get a palindrome (557163361755).

It can be divided in two parts, 424122 and 140331, that added together give a triangular number (564453 = T1062).

The spelling of 424122140331 in words is "four hundred twenty-four billion, one hundred twenty-two million, one hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 499 1497 4491 6829 13829 20487 41487 61461 124461 3407671 6900671 10223013 20702013 30669039 62106039 94438241 283314723 849944169 47124682259 141374046777 424122140331