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2100144414 = 23312457797
BaseRepresentation
bin111110100101101…
…1010100100011110
312102100210101112110
41331023122210132
513300114110124
6544221214450
7103020635004
oct17513324436
95370711473
102100144414
11988527645
124a7401426
1327613b804
1415ccc6a74
15c4595029
hex7d2da91e

2100144414 has 48 divisors (see below), whose sum is σ = 4355107344. Its totient is φ = 675135360.

The previous prime is 2100144407. The next prime is 2100144433. The reversal of 2100144414 is 4144410012.

It is a congruent number.

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, 2634664 + ... + 2635460.

It is an arithmetic number, because the mean of its divisors is an integer number (90731403).

Almost surely, 22100144414 is an apocalyptic number.

2100144414 is an abundant number, since it is smaller than the sum of its proper divisors (2254962930).

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

2100144414 is a wasteful number, since it uses less digits than its factorization.

2100144414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2100144414 is about 45827.3326083899. The cubic root of 2100144414 is about 1280.6085188479.

Adding to 2100144414 its reverse (4144410012), we get a palindrome (6244554426).

The spelling of 2100144414 in words is "two billion, one hundred million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 31 62 93 186 457 797 914 961 1371 1594 1922 2391 2742 2883 4782 5766 14167 24707 28334 42501 49414 74121 85002 148242 364229 439177 728458 765917 878354 1092687 1317531 1531834 2185374 2297751 2635062 4595502 11291099 22582198 33873297 67746594 350024069 700048138 1050072207 2100144414