Search a number
-
+
2114426314 = 27111310110457
BaseRepresentation
bin111111000000111…
…1001010111001010
312110100122222121201
41332001321113022
513312243120224
6545451254414
7103253220130
oct17601712712
95410588551
102114426314
119955a1870
124b014a40a
1327909c340
14160b63750
15c5966a44
hex7e0795ca

2114426314 has 64 divisors (see below), whose sum is σ = 4300998912. Its totient is φ = 752832000.

The previous prime is 2114426287. The next prime is 2114426371. The reversal of 2114426314 is 4136244112.

It is a super-3 number, since 3×21144263143 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 196974 + ... + 207430.

It is an arithmetic number, because the mean of its divisors is an integer number (67203108).

Almost surely, 22114426314 is an apocalyptic number.

2114426314 is an abundant number, since it is smaller than the sum of its proper divisors (2186572598).

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

2114426314 is a wasteful number, since it uses less digits than its factorization.

2114426314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591.

The product of its digits is 4608, while the sum is 28.

The square root of 2114426314 is about 45982.8915358745. The cubic root of 2114426314 is about 1283.5048624982.

The spelling of 2114426314 in words is "two billion, one hundred fourteen million, four hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 143 154 182 202 286 707 1001 1111 1313 1414 2002 2222 2626 7777 9191 10457 14443 15554 18382 20914 28886 73199 101101 115027 135941 146398 202202 230054 271882 805189 951587 1056157 1495351 1610378 1903174 2112314 2990702 7393099 10467457 11617727 13730041 14786198 20934914 23235454 27460082 81324089 96110287 151030451 162648178 192220574 302060902 1057213157 2114426314