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442140363 = 3475314713
BaseRepresentation
bin11010010110101…
…000011011001011
31010210222001120000
4122112220123023
51401141442423
6111512334043
713646062650
oct3226503313
91123861500
10442140363
11207638665
121040a4323
13707a7422
1442a13c27
1528c39843
hex1a5a86cb

442140363 has 40 divisors (see below), whose sum is σ = 769130208. Its totient is φ = 247867776.

The previous prime is 442140353. The next prime is 442140379. The reversal of 442140363 is 363041244.

It is not a de Polignac number, because 442140363 - 29 = 442139851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442140313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22695 + ... + 37407.

Almost surely, 2442140363 is an apocalyptic number.

442140363 is a deficient number, since it is larger than the sum of its proper divisors (326989845).

442140363 is a wasteful number, since it uses less digits than its factorization.

442140363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14785 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 442140363 is about 21027.1339701824. The cubic root of 442140363 is about 761.8217854666.

The spelling of 442140363 in words is "four hundred forty-two million, one hundred forty thousand, three hundred sixty-three".

Divisors: 1 3 7 9 21 27 53 63 81 159 189 371 477 567 1113 1431 3339 4293 10017 14713 30051 44139 102991 132417 308973 397251 779789 926919 1191753 2339367 2780757 5458523 7018101 8342271 16375569 21054303 49126707 63162909 147380121 442140363