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1414210104 = 23343735851
BaseRepresentation
bin101010001001011…
…0010001000111000
310122120002022120000
41110102302020320
510344014210404
6352155233000
750021405346
oct12422621070
93576068500
101414210104
11666314a8a
12335748760
13196cb5718
14d5b70996
1584250339
hex544b2238

1414210104 has 80 divisors (see below), whose sum is σ = 3972396120. Its totient is φ = 470059200.

The previous prime is 1414210103. The next prime is 1414210123. The reversal of 1414210104 is 4010124141.

1414210104 is a `hidden beast` number, since 141 + 421 + 0 + 104 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414210103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238779 + ... + 244629.

Almost surely, 21414210104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986198060).

1414210104 is an abundant number, since it is smaller than the sum of its proper divisors (2558186016).

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

1414210104 is a wasteful number, since it uses less digits than its factorization.

1414210104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414210104 is about 37605.9849492072. The cubic root of 1414210104 is about 1122.4611333378.

Adding to 1414210104 its reverse (4010124141), we get a palindrome (5424334245).

The spelling of 1414210104 in words is "one billion, four hundred fourteen million, two hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 373 648 746 1119 1492 2238 2984 3357 4476 5851 6714 8952 10071 11702 13428 17553 20142 23404 26856 30213 35106 40284 46808 52659 60426 70212 80568 105318 120852 140424 157977 210636 241704 315954 421272 473931 631908 947862 1263816 1895724 2182423 3791448 4364846 6547269 8729692 13094538 17459384 19641807 26189076 39283614 52378152 58925421 78567228 117850842 157134456 176776263 235701684 353552526 471403368 707105052 1414210104