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4014103100 = 225277697457
BaseRepresentation
bin1110111101000010…
…0101101000111100
3101100202020120021012
43233100211220330
531210102244400
61502152054352
7201321212330
oct35720455074
911322216235
104014103100
11177a947087
129403943b8
134bc81ba47
142a11857c0
1518760dd35
hexef425a3c

4014103100 has 72 divisors (see below), whose sum is σ = 9969257760. Its totient is φ = 1374289920.

The previous prime is 4014103099. The next prime is 4014103111. The reversal of 4014103100 is 13014104.

It is a happy number.

It is a super-2 number, since 2×40141031002 = 32226047394859220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534572 + ... + 542028.

Almost surely, 24014103100 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 4014103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984628880).

4014103100 is an abundant number, since it is smaller than the sum of its proper divisors (5955154660).

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

4014103100 is a wasteful number, since it uses less digits than its factorization.

4014103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4014103100 is about 63356.9498950194. The cubic root of 4014103100 is about 1589.2644699982.

Adding to 4014103100 its reverse (13014104), we get a palindrome (4027117204).

The spelling of 4014103100 in words is "four billion, fourteen million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 769 1538 3076 3845 5383 7457 7690 10766 14914 15380 19225 21532 26915 29828 37285 38450 52199 53830 74570 76900 104398 107660 134575 149140 186425 208796 260995 269150 372850 521990 538300 745700 1043980 1304975 2609950 5219900 5734433 11468866 22937732 28672165 40141031 57344330 80282062 114688660 143360825 160564124 200705155 286721650 401410310 573443300 802820620 1003525775 2007051550 4014103100