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4145501320 = 2351916013407
BaseRepresentation
bin1111011100010111…
…0101010010001000
3101200220111021201221
43313011311102020
531442222020240
61523204251424
7204505115452
oct36705652210
911626437657
104145501320
111838033554
129783a0b74
13510b06a7c
142b47cb2d2
15193e16a4a
hexf7175488

4145501320 has 64 divisors (see below), whose sum is σ = 9827308800. Its totient is φ = 1569484800.

The previous prime is 4145501303. The next prime is 4145501333. The reversal of 4145501320 is 231055414.

It is a happy number.

4145501320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215057 + ... + 1218463.

It is an arithmetic number, because the mean of its divisors is an integer number (153551700).

Almost surely, 24145501320 is an apocalyptic number.

4145501320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913654400).

4145501320 is an abundant number, since it is smaller than the sum of its proper divisors (5681807480).

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

4145501320 is a wasteful number, since it uses less digits than its factorization.

4145501320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4145501320 is about 64385.5676374760. The cubic root of 4145501320 is about 1606.4196921461.

Adding to 4145501320 its reverse (231055414), we get a palindrome (4376556734).

The spelling of 4145501320 in words is "four billion, one hundred forty-five million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1601 3202 3407 6404 6814 8005 12808 13628 16010 17035 27256 30419 32020 34070 60838 64040 64733 68140 121676 129466 136280 152095 243352 258932 304190 323665 517864 608380 647330 1216760 1294660 2589320 5454607 10909214 21818428 27273035 43636856 54546070 103637533 109092140 207275066 218184280 414550132 518187665 829100264 1036375330 2072750660 4145501320