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4434130322432 = 210194313140459
BaseRepresentation
bin100000010000110011011…
…0000110100010000000000
3120200220021011111002111222
41000201212300310100000
51040122044330304212
613233002241254212
7635232611602256
oct100414660642000
916626234432458
104434130322432
11145a55aa73408
125b7445334368
132621a141ca25
141148823065d6
157a51dde6c72
hex40866c34400

4434130322432 has 176 divisors, whose sum is σ = 9620559379200. Its totient is φ = 2035820666880.

The previous prime is 4434130322417. The next prime is 4434130322443. The reversal of 4434130322432 is 2342230314344.

It is a junction number, because it is equal to n+sod(n) for n = 4434130322392 and 4434130322401.

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, 109575419 + ... + 109615877.

It is an arithmetic number, because the mean of its divisors is an integer number (54662269200).

Almost surely, 24434130322432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434130322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810279689600).

4434130322432 is an abundant number, since it is smaller than the sum of its proper divisors (5186429056768).

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

4434130322432 is a wasteful number, since it uses less digits than its factorization.

4434130322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40672 (or 40654 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 4434130322432 its reverse (2342230314344), we get a palindrome (6776360636776).

The spelling of 4434130322432 in words is "four trillion, four hundred thirty-four billion, one hundred thirty million, three hundred twenty-two thousand, four hundred thirty-two".