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4145074340 = 2251110121847
BaseRepresentation
bin1111011100010000…
…1101000010100100
3101200212200121000212
43313010031002210
531442114334330
61523151154552
7204501356561
oct36704150244
911625617025
104145074340
111837871780
12978215a58
135109b7614
142b4719868
15193d80295
hexf710d0a4

4145074340 has 72 divisors (see below), whose sum is σ = 9596131776. Its totient is φ = 1491568000.

The previous prime is 4145074321. The next prime is 4145074363. The reversal of 4145074340 is 434705414.

It is a junction number, because it is equal to n+sod(n) for n = 4145074297 and 4145074306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243297 + ... + 2245143.

It is an arithmetic number, because the mean of its divisors is an integer number (133279608).

Almost surely, 24145074340 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 4145074340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798065888).

4145074340 is an abundant number, since it is smaller than the sum of its proper divisors (5451057436).

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

4145074340 is a wasteful number, since it uses less digits than its factorization.

4145074340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 4145074340 is about 64382.2517468906. The cubic root of 4145074340 is about 1606.3645373668.

Adding to 4145074340 its reverse (434705414), we get a palindrome (4579779754).

It can be divided in two parts, 4145074 and 340, that added together give a palindrome (4145414).

The spelling of 4145074340 in words is "four billion, one hundred forty-five million, seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1847 2020 2222 3694 4444 5555 7388 9235 10201 11110 18470 20317 20402 22220 36940 40634 40804 51005 81268 101585 102010 112211 186547 203170 204020 224422 373094 406340 448844 561055 746188 932735 1122110 1865470 2052017 2244220 3730940 4104034 8208068 10260085 18841247 20520170 37682494 41040340 75364988 94206235 188412470 207253717 376824940 414507434 829014868 1036268585 2072537170 4145074340