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1412146848 = 25373535953
BaseRepresentation
bin101010000101011…
…1010011010100000
310122102012111022010
41110022322122200
510343002144343
6352043112520
746665023130
oct12412723240
93572174263
101412146848
11665135912
12334b12740
13196742568
14d5794ac0
1583e93d33
hex542ba6a0

1412146848 has 96 divisors (see below), whose sum is σ = 4249155456. Its totient is φ = 402259968.

The previous prime is 1412146807. The next prime is 1412146907. The reversal of 1412146848 is 8486412141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234240 + ... + 240192.

It is an arithmetic number, because the mean of its divisors is an integer number (44262036).

Almost surely, 21412146848 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 1412146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124577728).

1412146848 is an abundant number, since it is smaller than the sum of its proper divisors (2837008608).

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

1412146848 is a wasteful number, since it uses less digits than its factorization.

1412146848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 6318 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 1412146848 is about 37578.5423879107. The cubic root of 1412146848 is about 1121.9149976434.

Adding to 1412146848 its reverse (8486412141), we get a palindrome (9898558989).

The spelling of 1412146848 in words is "one billion, four hundred twelve million, one hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 353 672 706 1059 1412 2118 2471 2824 4236 4942 5648 5953 7413 8472 9884 11296 11906 14826 16944 17859 19768 23812 29652 33888 35718 39536 41671 47624 59304 71436 79072 83342 95248 118608 125013 142872 166684 190496 237216 250026 285744 333368 500052 571488 666736 1000104 1333472 2000208 2101409 4000416 4202818 6304227 8405636 12608454 14709863 16811272 25216908 29419726 33622544 44129589 50433816 58839452 67245088 88259178 100867632 117678904 176518356 201735264 235357808 353036712 470715616 706073424 1412146848