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2114104540 = 2251913740609
BaseRepresentation
bin111111000000010…
…1010110011011100
312110100001122020011
41332000222303130
513312202321130
6545440333004
7103250410042
oct17600526334
95410048204
102114104540
119953a2039
124b0014164
13278cb8a42
14160abc392
15c590152a
hex7e02acdc

2114104540 has 48 divisors (see below), whose sum is σ = 4707511200. Its totient is φ = 795267072.

The previous prime is 2114104507. The next prime is 2114104549. The reversal of 2114104540 is 454014112.

It is a super-2 number, since 2×21141045402 = 8938876012097223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114104549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31756 + ... + 72364.

It is an arithmetic number, because the mean of its divisors is an integer number (98073150).

Almost surely, 22114104540 is an apocalyptic number.

2114104540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353755600).

2114104540 is an abundant number, since it is smaller than the sum of its proper divisors (2593406660).

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

2114104540 is a wasteful number, since it uses less digits than its factorization.

2114104540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40774 (or 40772 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2114104540 is about 45979.3925579710. The cubic root of 2114104540 is about 1283.4397511498.

Adding to 2114104540 its reverse (454014112), we get a palindrome (2568118652).

The spelling of 2114104540 in words is "two billion, one hundred fourteen million, one hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 685 1370 2603 2740 5206 10412 13015 26030 40609 52060 81218 162436 203045 406090 771571 812180 1543142 3086284 3857855 5563433 7715710 11126866 15431420 22253732 27817165 55634330 105705227 111268660 211410454 422820908 528526135 1057052270 2114104540