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4413141324 = 22321911357097
BaseRepresentation
bin1000001110000101…
…10011000101001100
3102101120002210210200
410013002303011030
533014231010244
62005524533500
7214235040144
oct40702630514
912346083720
104413141324
111965115439
12a31b51290
135543b4637
142dc179924
151ac682669
hex1070b314c

4413141324 has 72 divisors (see below), whose sum is σ = 11846693040. Its totient is φ = 1381266432.

The previous prime is 4413141289. The next prime is 4413141347. The reversal of 4413141324 is 4231413144.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48744 + ... + 105840.

Almost surely, 24413141324 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 4413141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923346520).

4413141324 is an abundant number, since it is smaller than the sum of its proper divisors (7433551716).

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

4413141324 is a wasteful number, since it uses less digits than its factorization.

4413141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57239 (or 57234 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4413141324 is about 66431.4784119697. The cubic root of 4413141324 is about 1640.2722783107.

Adding to 4413141324 its reverse (4231413144), we get a palindrome (8644554468).

The spelling of 4413141324 in words is "four billion, four hundred thirteen million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6441 8588 12882 19323 25764 38646 57097 77292 114194 171291 228388 342582 513873 685164 1027746 1084843 2055492 2169686 3254529 4339372 6451961 6509058 9763587 12903922 13018116 19355883 19527174 25807844 38711766 39054348 58067649 77423532 116135298 122587259 232270596 245174518 367761777 490349036 735523554 1103285331 1471047108 2206570662 4413141324