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124144140340404 = 2232172321171327463
BaseRepresentation
bin11100001110100010001111…
…011000101100110010110100
3121021120001201120221200220200
4130032202033120230302310
5112232434144411343104
61120011010350400500
735102055345652002
oct3416421730546264
9537501646850820
10124144140340404
1136613263877a48
1211b0bb71500130
135436985805052
142292873843a72
15e54419a79b39
hex70e88f62ccb4

124144140340404 has 216 divisors, whose sum is σ = 347640369515712. Its totient is φ = 37221898222080.

The previous prime is 124144140340361. The next prime is 124144140340433. The reversal of 124144140340404 is 404043041441421.

124144140340404 is a `hidden beast` number, since 1 + 2 + 41 + 44 + 140 + 34 + 0 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 378945177 + ... + 379272639.

Almost surely, 2124144140340404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124144140340404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173820184757856).

124144140340404 is an abundant number, since it is smaller than the sum of its proper divisors (223496229175308).

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

124144140340404 is a wasteful number, since it uses less digits than its factorization.

124144140340404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328707 (or 328679 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 124144140340404 its reverse (404043041441421), we get a palindrome (528187181781825).

The spelling of 124144140340404 in words is "one hundred twenty-four trillion, one hundred forty-four billion, one hundred forty million, three hundred forty thousand, four hundred four".