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4202124334120 = 235176179594609
BaseRepresentation
bin111101001001100010001…
…000001101010000101000
3112212201102021021202000001
4331021202020031100220
51022321422312142440
612534232415552344
7612410362334056
oct75114210152050
915781367252001
104202124334120
1113801247014a9
1257a496b2b6b4
1324634927583b
141075536031d6
1574490ba1b9a
hex3d26220d428

4202124334120 has 32 divisors (see below), whose sum is σ = 10010943268200. Its totient is φ = 1581976219648.

The previous prime is 4202124334117. The next prime is 4202124334123. The reversal of 4202124334120 is 214334212024.

It is an interprime number because it is at equal distance from previous prime (4202124334117) and next prime (4202124334123).

It can be written as a sum of positive squares in 4 ways, for example, as 4194656263396 + 7468070724 = 2048086^2 + 86418^2 .

It is not an unprimeable number, because it can be changed into a prime (4202124334123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3089796625 + ... + 3089797984.

Almost surely, 24202124334120 is an apocalyptic number.

4202124334120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202124334120 is an abundant number, since it is smaller than the sum of its proper divisors (5808818934080).

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

4202124334120 is a wasteful number, since it uses less digits than its factorization.

4202124334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179594637 (or 6179594633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4202124334120 its reverse (214334212024), we get a palindrome (4416458546144).

The spelling of 4202124334120 in words is "four trillion, two hundred two billion, one hundred twenty-four million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6179594609 12359189218 24718378436 30897973045 49436756872 61795946090 105053108353 123591892180 210106216706 247183784360 420212433412 525265541765 840424866824 1050531083530 2101062167060 4202124334120