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2134010412 = 2232599671039
BaseRepresentation
bin111111100110010…
…0110101000101100
312111201111221221200
41333030212220230
513332301313122
6551431125500
7103611534462
oct17714465054
95451457850
102134010412
119a5658676
124b6813890
13280168371
141635c0832
15c75345ac
hex7f326a2c

2134010412 has 72 divisors (see below), whose sum is σ = 5496691200. Its totient is φ = 697884768.

The previous prime is 2134010371. The next prime is 2134010413. The reversal of 2134010412 is 2140104312.

2134010412 is a `hidden beast` number, since 213 + 40 + 1 + 0 + 412 = 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 (2134010413) 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 23 ways as a sum of consecutive naturals, for example, 2053389 + ... + 2054427.

Almost surely, 22134010412 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 2134010412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748345600).

2134010412 is an abundant number, since it is smaller than the sum of its proper divisors (3362680788).

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

2134010412 is a wasteful number, since it uses less digits than its factorization.

2134010412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2134010412 is about 46195.3505452659. The cubic root of 2134010412 is about 1287.4553551239.

Adding to 2134010412 its reverse (2140104312), we get a palindrome (4274114724).

The spelling of 2134010412 in words is "two billion, one hundred thirty-four million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 967 1039 1062 1934 2078 2124 2901 3117 3868 4156 5802 6234 8703 9351 11604 12468 17406 18702 34812 37404 57053 61301 114106 122602 171159 183903 228212 245204 342318 367806 513477 551709 684636 735612 1004713 1026954 1103418 2009426 2053908 2206836 3014139 4018852 6028278 9042417 12056556 18084834 36169668 59278067 118556134 177834201 237112268 355668402 533502603 711336804 1067005206 2134010412