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424144000431 = 33233771259993
BaseRepresentation
bin1100010110000001111…
…00111101010110101111
31111112210022202200011000
412023000330331112233
523422121331003211
6522503221531343
742433453342554
oct6130074752657
91445708680130
10424144000431
1115397325a268
126a250b73b53
1330cc5715828
14167589a4a2b
15b076381656
hex62c0f3d5af

424144000431 has 64 divisors (see below), whose sum is σ = 682889840640. Its totient is φ = 259451216640.

The previous prime is 424144000429. The next prime is 424144000459. The reversal of 424144000431 is 134000441424.

It is not a de Polignac number, because 424144000431 - 21 = 424144000429 is a prime.

It is a super-2 number, since 2×4241440004312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424144000395 and 424144000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424144000421) 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, 1501371 + ... + 1761363.

It is an arithmetic number, because the mean of its divisors is an integer number (10670153760).

Almost surely, 2424144000431 is an apocalyptic number.

424144000431 is a deficient number, since it is larger than the sum of its proper divisors (258745840209).

424144000431 is a wasteful number, since it uses less digits than its factorization.

424144000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260133 (or 260127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 424144000431 its reverse (134000441424), we get a palindrome (558144441855).

The spelling of 424144000431 in words is "four hundred twenty-four billion, one hundred forty-four million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 23 27 37 69 71 111 207 213 333 621 639 851 999 1633 1917 2553 2627 4899 7659 7881 14697 22977 23643 44091 60421 70929 181263 259993 543789 779979 1631367 2339937 5979839 7019811 9619741 17939517 18459503 28859223 53818551 55378509 86577669 161455653 166135527 221254043 259733007 424568569 498406581 663762129 683001611 1273705707 1991286387 2049004833 3821117121 5973859161 6147014499 11463351363 15709037053 18441043497 47127111159 141381333477 424144000431