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442221504037329 = 347106631173125073
BaseRepresentation
bin110010010001100101011011…
…1101010010000000111010001
32010222202221222221221221111210
41210203022313222100013101
5430430324120013143304
64204305430540330333
7162101310055526502
oct14443126752200721
92128687887857453
10442221504037329
111189a60a537a225
12417215a6b439a9
1315c9a40284a493
147b2b8c6610ba9
15361d2e20adc89
hex19232b7a901d1

442221504037329 has 32 divisors (see below), whose sum is σ = 602305793961984. Its totient is φ = 288478530282240.

The previous prime is 442221504037309. The next prime is 442221504037351. The reversal of 442221504037329 is 923730405122244.

It is not a de Polignac number, because 442221504037329 - 28 = 442221504037073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442221504037309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17637346537 + ... + 17637371609.

It is an arithmetic number, because the mean of its divisors is an integer number (18822056061312).

Almost surely, 2442221504037329 is an apocalyptic number.

It is an amenable number.

442221504037329 is a deficient number, since it is larger than the sum of its proper divisors (160084289924655).

442221504037329 is a wasteful number, since it uses less digits than its factorization.

442221504037329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47517.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 442221504037329 in words is "four hundred forty-two trillion, two hundred twenty-one billion, five hundred four million, thirty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 47 141 10663 11731 25073 31989 35193 75219 501161 551357 1178431 1503483 1654071 3535293 125087653 267353399 294131363 375262959 802060197 882394089 5879119691 12565609753 13824174061 17637359073 37696829259 41472522183 3136322723669 9408968171007 147407168012443 442221504037329