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4014411330 = 235535942793
BaseRepresentation
bin1110111101000111…
…0000111001000010
3101100202211020002010
43233101300321002
531210142130310
61502202433350
7201323635056
oct35721607102
911322736063
104014411330
111780037716
12940502856
134bc8c9127
142a1225c66
15187670320
hexef470e42

4014411330 has 64 divisors (see below), whose sum is σ = 9982984320. Its totient is φ = 1032485376.

The previous prime is 4014411287. The next prime is 4014411377. The reversal of 4014411330 is 331144104.

4014411330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40144113302 = 32230996652864737800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014411297 and 4014411306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72414 + ... + 115206.

It is an arithmetic number, because the mean of its divisors is an integer number (155984130).

Almost surely, 24014411330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014411330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991492160).

4014411330 is an abundant number, since it is smaller than the sum of its proper divisors (5968572990).

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

4014411330 is a wasteful number, since it uses less digits than its factorization.

4014411330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42915.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4014411330 is about 63359.3823360045. The cubic root of 4014411330 is about 1589.3051471173.

Adding to 4014411330 its reverse (331144104), we get a palindrome (4345555434).

The spelling of 4014411330 in words is "four billion, fourteen million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 59 106 118 159 177 265 295 318 354 530 590 795 885 1590 1770 3127 6254 9381 15635 18762 31270 42793 46905 85586 93810 128379 213965 256758 427930 641895 1283790 2268029 2524787 4536058 5049574 6804087 7574361 11340145 12623935 13608174 15148722 22680290 25247870 34020435 37871805 68040870 75743610 133813711 267627422 401441133 669068555 802882266 1338137110 2007205665 4014411330