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442422424410 = 235311531310727
BaseRepresentation
bin1100111000000100110…
…11100111001101011010
31120021222011211211001220
412130002123213031122
524222040120040120
6535125051552510
743651432362441
oct6340233471532
91507864754056
10442422424410
111606a2a1978a
12718b245b736
133294952b315
14175b0389d58
15b795dd5b40
hex67026e735a

442422424410 has 64 divisors (see below), whose sum is σ = 1096785321984. Its totient is φ = 114098587200.

The previous prime is 442422424373. The next prime is 442422424427. The reversal of 442422424410 is 14424224244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268467 + ... + 1579193.

It is an arithmetic number, because the mean of its divisors is an integer number (17137270656).

Almost surely, 2442422424410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442422424410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548392660992).

442422424410 is an abundant number, since it is smaller than the sum of its proper divisors (654362897574).

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

442422424410 is a wasteful number, since it uses less digits than its factorization.

442422424410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312299.

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 442422424410 its reverse (14424224244), we get a palindrome (456846648654).

The spelling of 442422424410 in words is "four hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1531 3062 4593 7655 9186 15310 22965 45930 47461 94922 142383 237305 284766 310727 474610 621454 711915 932181 1423830 1553635 1864362 3107270 4660905 9321810 9632537 19265074 28897611 48162685 57795222 96325370 144488055 288976110 475723037 951446074 1427169111 2378615185 2854338222 4757230370 7135845555 14271691110 14747414147 29494828294 44242242441 73737070735 88484484882 147474141470 221211212205 442422424410