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435107622444 = 2231121361220177
BaseRepresentation
bin1100101010011100110…
…11110110111000101100
31112121002101202101011120
412111032123312320230
524112100022404234
6531515150220540
743302241524255
oct6251633667054
91477071671146
10435107622444
11158589a00800
12703b07b4750
1332051c44131
14170b8ac5b2c
15b4b8b37049
hex654e6f6e2c

435107622444 has 72 divisors (see below), whose sum is σ = 1116762191664. Its totient is φ = 131753318400.

The previous prime is 435107622349. The next prime is 435107622461. The reversal of 435107622444 is 444226701534.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 435107622396 and 435107622405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866084 + ... + 2086260.

Almost surely, 2435107622444 is an apocalyptic number.

435107622444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435107622444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558381095832).

435107622444 is an abundant number, since it is smaller than the sum of its proper divisors (681654569220).

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

435107622444 is a wasteful number, since it uses less digits than its factorization.

435107622444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221567 (or 221554 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 435107622444 in words is "four hundred thirty-five billion, one hundred seven million, six hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1361 1452 2722 4083 5444 8166 14971 16332 29942 44913 59884 89826 164681 179652 220177 329362 440354 494043 658724 660531 880708 988086 1321062 1976172 2421947 2642124 4843894 7265841 9687788 14531682 26641417 29063364 53282834 79924251 106565668 159848502 299660897 319697004 599321794 898982691 1198643588 1797965382 3296269867 3595930764 6592539734 9888809601 13185079468 19777619202 36258968537 39555238404 72517937074 108776905611 145035874148 217553811222 435107622444