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2114141420 = 2251723926017
BaseRepresentation
bin111111000000011…
…0011110011101100
312110100010111211002
41332000303303230
513312210011140
6545441215432
7103250622416
oct17600636354
95410114732
102114141420
11995417816
124b0031578
13278ccc771
14160acb9b6
15c590c415
hex7e033cec

2114141420 has 48 divisors (see below), whose sum is σ = 4720705920. Its totient is φ = 792551424.

The previous prime is 2114141399. The next prime is 2114141423. The reversal of 2114141420 is 241414112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2114141392 and 2114141401.

It is not an unprimeable number, because it can be changed into a prime (2114141423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68252 + ... + 94268.

It is an arithmetic number, because the mean of its divisors is an integer number (98348040).

Almost surely, 22114141420 is an apocalyptic number.

2114141420 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 2114141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360352960).

2114141420 is an abundant number, since it is smaller than the sum of its proper divisors (2606564500).

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

2114141420 is a wasteful number, since it uses less digits than its factorization.

2114141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26282 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2114141420 is about 45979.7936054524. The cubic root of 2114141420 is about 1283.4472141965.

Adding to 2114141420 its reverse (241414112), we get a palindrome (2355555532).

The spelling of 2114141420 in words is "two billion, one hundred fourteen million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 478 956 1195 2390 4063 4780 8126 16252 20315 26017 40630 52034 81260 104068 130085 260170 442289 520340 884578 1769156 2211445 4422890 6218063 8845780 12436126 24872252 31090315 62180630 105707071 124361260 211414142 422828284 528535355 1057070710 2114141420