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1412314420 = 2251123715773
BaseRepresentation
bin101010000101110…
…0011010100110100
310122102112000011111
41110023203110310
510343023030140
6352050444404
746666321516
oct12413432464
93572460144
101412314420
1166523a800
12334b93704
131967a090a
14d57d9bb6
1583ec87ea
hex542e3534

1412314420 has 72 divisors (see below), whose sum is σ = 3348315432. Its totient is φ = 499656960.

The previous prime is 1412314357. The next prime is 1412314433. The reversal of 1412314420 is 244132141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 440496144 + 971818276 = 20988^2 + 31174^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1412314391 and 1412314400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81654 + ... + 97426.

It is an arithmetic number, because the mean of its divisors is an integer number (46504381).

Almost surely, 21412314420 is an apocalyptic number.

1412314420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674157716).

1412314420 is an abundant number, since it is smaller than the sum of its proper divisors (1936001012).

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

1412314420 is a wasteful number, since it uses less digits than its factorization.

1412314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1412314420 is about 37580.7719452382. The cubic root of 1412314420 is about 1121.9593731285.

Adding to 1412314420 its reverse (244132141), we get a palindrome (1656446561).

The spelling of 1412314420 in words is "one billion, four hundred twelve million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 15773 17908 22385 31546 44770 63092 78865 89540 157730 173503 315460 347006 583601 694012 867515 1167202 1735030 1908533 2334404 2918005 3470060 3817066 5836010 6419611 7634132 9542665 11672020 12839222 19085330 25678444 32098055 38170660 64196110 70615721 128392220 141231442 282462884 353078605 706157210 1412314420