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434024403024 = 243431071965263
BaseRepresentation
bin1100101000011011101…
…11101101000001010000
31112111021220111010110210
412110031313231001100
524102340221344044
6531215453124120
743233346361202
oct6241567550120
91474256433423
10434024403024
11158083507a43
1270149a89640
1331c0b6ba3b4
1417014cb4772
15b4539b81b9
hex650dded050

434024403024 has 80 divisors (see below), whose sum is σ = 1158027881472. Its totient is φ = 139989542784.

The previous prime is 434024403011. The next prime is 434024403077. The reversal of 434024403024 is 420304420434.

It is a junction number, because it is equal to n+sod(n) for n = 434024402982 and 434024403000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761784 + ... + 1203479.

Almost surely, 2434024403024 is an apocalyptic number.

It is an amenable number.

434024403024 is an abundant number, since it is smaller than the sum of its proper divisors (724003478448).

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

434024403024 is a wasteful number, since it uses less digits than its factorization.

434024403024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965424 (or 1965418 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 434024403024 its reverse (420304420434), we get a palindrome (854328823458).

The spelling of 434024403024 in words is "four hundred thirty-four billion, twenty-four million, four hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 107 129 172 214 258 321 344 428 516 642 688 856 1032 1284 1712 2064 2568 4601 5136 9202 13803 18404 27606 36808 55212 73616 110424 220848 1965263 3930526 5895789 7861052 11791578 15722104 23583156 31444208 47166312 84506309 94332624 169012618 210283141 253518927 338025236 420566282 507037854 630849423 676050472 841132564 1014075708 1261698846 1352100944 1682265128 2028151416 2523397692 3364530256 4056302832 5046795384 9042175063 10093590768 18084350126 27126525189 36168700252 54253050378 72337400504 108506100756 144674801008 217012201512 434024403024