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4014211432 = 2371116339979
BaseRepresentation
bin1110111101000100…
…0000000101101000
3101100202110001212111
43233101000011220
531210114231212
61502154252104
7201322143220
oct35721000550
911322401774
104014211432
11177aa10510
12940427034
134bc85914a
142a11b3080
15187630ea7
hexef440168

4014211432 has 64 divisors (see below), whose sum is σ = 9441676800. Its totient is φ = 1554344640.

The previous prime is 4014211429. The next prime is 4014211433. The reversal of 4014211432 is 2341124104.

It is a happy number.

It is a super-2 number, since 2×40142114322 = 32227786841598981248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4014211433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80419 + ... + 120397.

It is an arithmetic number, because the mean of its divisors is an integer number (147526200).

Almost surely, 24014211432 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 4014211432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720838400).

4014211432 is an abundant number, since it is smaller than the sum of its proper divisors (5427465368).

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

4014211432 is a wasteful number, since it uses less digits than its factorization.

4014211432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166 (or 40162 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4014211432 is about 63357.8048230840. The cubic root of 4014211432 is about 1589.2787668116.

Adding to 4014211432 its reverse (2341124104), we get a palindrome (6355335536).

The spelling of 4014211432 in words is "four billion, fourteen million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 163 308 326 616 652 1141 1304 1793 2282 3586 4564 7172 9128 12551 14344 25102 39979 50204 79958 100408 159916 279853 319832 439769 559706 879538 1119412 1759076 2238824 3078383 3518152 6156766 6516577 12313532 13033154 24627064 26066308 45616039 52132616 71682347 91232078 143364694 182464156 286729388 364928312 501776429 573458776 1003552858 2007105716 4014211432