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1314210114 = 2327113241383
BaseRepresentation
bin100111001010101…
…0100000101000010
310101120220210100200
41032111110011002
510142414210424
6334224030030
744365413240
oct11625240502
93346823320
101314210114
11614923568
12308162316
1317c371c29
14c677d790
157a59a8c9
hex4e554142

1314210114 has 96 divisors (see below), whose sum is σ = 3305263104. Its totient is φ = 369653760.

The previous prime is 1314210113. The next prime is 1314210127. The reversal of 1314210114 is 4110124131.

1314210114 is a `hidden beast` number, since 131 + 421 + 0 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1314210113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431167 + ... + 3431549.

It is an arithmetic number, because the mean of its divisors is an integer number (34429824).

Almost surely, 21314210114 is an apocalyptic number.

1314210114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652631552).

1314210114 is an abundant number, since it is smaller than the sum of its proper divisors (1991052990).

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

1314210114 is a wasteful number, since it uses less digits than its factorization.

1314210114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1314210114 is about 36252.0359979960. The cubic root of 1314210114 is about 1095.3551009439.

Adding to 1314210114 its reverse (4110124131), we get a palindrome (5424334245).

The spelling of 1314210114 in words is "one billion, three hundred fourteen million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 241 339 383 482 678 723 766 791 1017 1149 1446 1582 1687 2034 2169 2298 2373 2681 3374 3447 4338 4746 5061 5362 6894 7119 8043 10122 14238 15183 16086 24129 27233 30366 43279 48258 54466 81699 86558 92303 129837 163398 184606 190631 245097 259674 276909 302953 381262 389511 490194 553818 571893 605906 646121 779022 830727 908859 1143786 1292242 1661454 1715679 1817718 1938363 2726577 3431358 3876726 5453154 5815089 10430239 11630178 20860478 31290717 62581434 73011673 93872151 146023346 187744302 219035019 438070038 657105057 1314210114