Search a number
-
+
2114042240 = 27523143617
BaseRepresentation
bin111111000000001…
…1011100110000000
312110022221110202202
41332000123212000
513312143322430
6545435132332
7103250030312
oct17600334600
95408843682
102114042240
1199535a252
124abba40a8
13278c9658b
14160aa37b2
15c58dcd45
hex7e01b980

2114042240 has 64 divisors (see below), whose sum is σ = 5273652960. Its totient is φ = 808845312.

The previous prime is 2114042233. The next prime is 2114042257. The reversal of 2114042240 is 422404112.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57089 + ... + 86528.

Almost surely, 22114042240 is an apocalyptic number.

2114042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114042240 is an abundant number, since it is smaller than the sum of its proper divisors (3159610720).

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

2114042240 is a wasteful number, since it uses less digits than its factorization.

2114042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143659 (or 143647 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2114042240 is about 45978.7150755651. The cubic root of 2114042240 is about 1283.4271439079.

Adding to 2114042240 its reverse (422404112), we get a palindrome (2536446352).

The spelling of 2114042240 in words is "two billion, one hundred fourteen million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 143617 287234 574468 718085 1148936 1436170 2297872 2872340 3303191 4595744 5744680 6606382 9191488 11489360 13212764 16515955 18382976 22978720 26425528 33031910 45957440 52851056 66063820 91914880 105702112 132127640 211404224 264255280 422808448 528510560 1057021120 2114042240