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4404322234044 = 2232122342284279
BaseRepresentation
bin100000000010111011000…
…0011111110111010111100
3120121001022210022022101100
41000011312003332322330
51034130022442442134
613211152342413100
7633126132202425
oct100056603767274
916531283268340
104404322234044
111448954098417
125b1706731190
1325c430a3c4c5
1411325557664c
157987707a999
hex401760feebc

4404322234044 has 18 divisors (see below), whose sum is σ = 11133147869480. Its totient is φ = 1468107411336.

The previous prime is 4404322234031. The next prime is 4404322234063.

4404322234044 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×44043222340442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 122342284279 = 4404322234044 / (4 + 4 + 0 + 4 + 3 + 2 + 2 + 2 + 3 + 4 + 0 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61171142104 + ... + 61171142175.

Almost surely, 24404322234044 is an apocalyptic number.

It is an amenable number.

4404322234044 is an abundant number, since it is smaller than the sum of its proper divisors (6728825635436).

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

4404322234044 is a wasteful number, since it uses less digits than its factorization.

4404322234044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122342284289 (or 122342284284 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 4404322234044 in words is "four trillion, four hundred four billion, three hundred twenty-two million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 122342284279 244684568558 367026852837 489369137116 734053705674 1101080558511 1468107411348 2202161117022 4404322234044