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2114041400 = 235230793433
BaseRepresentation
bin111111000000001…
…1011011000111000
312110022221102121122
41332000123120320
513312143311100
6545435124412
7103250025002
oct17600333070
95408842548
102114041400
11995359659
124abba3708
13278c96093
14160aa3372
15c58dc985
hex7e01b638

2114041400 has 48 divisors (see below), whose sum is σ = 4918174800. Its totient is φ = 845095680.

The previous prime is 2114041357. The next prime is 2114041417. The reversal of 2114041400 is 41404112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614084 + ... + 617516.

It is an arithmetic number, because the mean of its divisors is an integer number (102461975).

Almost surely, 22114041400 is an apocalyptic number.

2114041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114041400 is an abundant number, since it is smaller than the sum of its proper divisors (2804133400).

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

2114041400 is a wasteful number, since it uses less digits than its factorization.

2114041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2114041400 is about 45978.7059409027. The cubic root of 2114041400 is about 1283.4269739209.

Adding to 2114041400 its reverse (41404112), we get a palindrome (2155445512).

The spelling of 2114041400 in words is "two billion, one hundred fourteen million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3079 3433 6158 6866 12316 13732 15395 17165 24632 27464 30790 34330 61580 68660 76975 85825 123160 137320 153950 171650 307900 343300 615800 686600 10570207 21140414 42280828 52851035 84561656 105702070 211404140 264255175 422808280 528510350 1057020700 2114041400