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4370424389136 = 243613214892
BaseRepresentation
bin111111100110010001100…
…101111101111000010000
3120110210211101112101000000
4333212101211331320100
51033101112120423021
613143424550130000
7630516122236311
oct77462145757020
916423741471000
104370424389136
1114355396a3863
125a7026350900
1325918ac72400
1411175b5aa608
1578a41159b26
hex3f99197de10

4370424389136 has 315 divisors, whose sum is σ = 13756694961879. Its totient is φ = 1343842845696.

The previous prime is 4370424389131. The next prime is 4370424389159. The reversal of 4370424389136 is 6319834240734.

It is a happy number.

The square root of 4370424389136 is 2090556.

It is a perfect power (a square), and thus also a powerful number.

4370424389136 is a `hidden beast` number, since 4 + 3 + 7 + 0 + 424 + 3 + 89 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1792010595600 + 2578413793536 = 1338660^2 + 1605744^2 .

It is a super-3 number, since 3×43704243891363 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4370424389131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2935139880 + ... + 2935141368.

Almost surely, 24370424389136 is an apocalyptic number.

4370424389136 is the 2090556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4370424389136

4370424389136 is an abundant number, since it is smaller than the sum of its proper divisors (9386270572743).

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

4370424389136 is an frugal number, since it uses more digits than its factorization.

4370424389136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4370424389136 in words is "four trillion, three hundred seventy billion, four hundred twenty-four million, three hundred eighty-nine thousand, one hundred thirty-six".