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1412214144 = 27311334331
BaseRepresentation
bin101010000101100…
…1010110110000000
310122102022220121120
41110023022312000
510343011323034
6352044352240
746665423255
oct12413126600
93572286546
101412214144
11665181430
12334b45680
13196767093
14d57b142c
1583ea8c49
hex542cad80

1412214144 has 64 divisors (see below), whose sum is σ = 4092223680. Its totient is φ = 427942400.

The previous prime is 1412214143. The next prime is 1412214149. The reversal of 1412214144 is 4414122141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412214143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162942 + ... + 171389.

It is an arithmetic number, because the mean of its divisors is an integer number (63940995).

Almost surely, 21412214144 is an apocalyptic number.

It is an amenable number.

1412214144 is an abundant number, since it is smaller than the sum of its proper divisors (2680009536).

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

1412214144 is a wasteful number, since it uses less digits than its factorization.

1412214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334359 (or 334347 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1412214144 is about 37579.4377818509. The cubic root of 1412214144 is about 1121.9328190176.

Adding to 1412214144 its reverse (4414122141), we get a palindrome (5826336285).

The spelling of 1412214144 in words is "one billion, four hundred twelve million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 334331 668662 1002993 1337324 2005986 2674648 3677641 4011972 5349296 7355282 8023944 10698592 11032923 14710564 16047888 21397184 22065846 29421128 32095776 42794368 44131692 58842256 64191552 88263384 117684512 128383104 176526768 235369024 353053536 470738048 706107072 1412214144