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4002142142430 = 232544468246027
BaseRepresentation
bin111010001111010010010…
…000101011111111011110
3112011121020011111210220200
4322033102100223333132
51011032341342024210
612302320403324330
7562100545630245
oct72172220537736
915147204453820
104002142142430
1113033319a3a13
125477853806a6
13230528850333
14db9c1a3995c
156e1890990c0
hex3a3d242bfde

4002142142430 has 24 divisors (see below), whose sum is σ = 10405569570552. Its totient is φ = 1067237904624.

The previous prime is 4002142142381. The next prime is 4002142142431. The reversal of 4002142142430 is 342412412004.

4002142142430 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 14 + 214 + 2 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4002142142394 and 4002142142403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002142142431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22234122924 + ... + 22234123103.

It is an arithmetic number, because the mean of its divisors is an integer number (433565398773).

Almost surely, 24002142142430 is an apocalyptic number.

4002142142430 is an abundant number, since it is smaller than the sum of its proper divisors (6403427428122).

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

4002142142430 is a wasteful number, since it uses less digits than its factorization.

4002142142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44468246040 (or 44468246037 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4002142142430 its reverse (342412412004), we get a palindrome (4344554554434).

The spelling of 4002142142430 in words is "four trillion, two billion, one hundred forty-two million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 44468246027 88936492054 133404738081 222341230135 266809476162 400214214243 444682460270 667023690405 800428428486 1334047380810 2001071071215 4002142142430