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1414144224 = 25331636741
BaseRepresentation
bin101010001001010…
…0010000011100000
310122112221222012000
41110102202003200
510344010103344
6352154004000
750021012313
oct12422420340
93575858160
101414144224
1166627a539
12335716600
13196c9173c
14d5b5497a
158423aa69
hex544a20e0

1414144224 has 48 divisors (see below), whose sum is σ = 4124589840. Its totient is φ = 471381120.

The previous prime is 1414144211. The next prime is 1414144253. The reversal of 1414144224 is 4224414141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×14141442243 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817507 + ... + 819234.

It is an arithmetic number, because the mean of its divisors is an integer number (85928955).

Almost surely, 21414144224 is an apocalyptic number.

It is an amenable number.

1414144224 is an abundant number, since it is smaller than the sum of its proper divisors (2710445616).

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

1414144224 is a wasteful number, since it uses less digits than its factorization.

1414144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636760 (or 1636746 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 1414144224 is about 37605.1090146007. The cubic root of 1414144224 is about 1122.4437033752.

Adding to 1414144224 its reverse (4224414141), we get a palindrome (5638558365).

The spelling of 1414144224 in words is "one billion, four hundred fourteen million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1636741 3273482 4910223 6546964 9820446 13093928 14730669 19640892 26187856 29461338 39281784 44192007 52375712 58922676 78563568 88384014 117845352 157127136 176768028 235690704 353536056 471381408 707072112 1414144224