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1414238848 = 27113132401
BaseRepresentation
bin101010001001011…
…1001001010000000
310122120010202222121
41110102321022000
510344021120343
6352200014024
750021555221
oct12422711200
93576122877
101414238848
11666334640
12335761314
13196cc5829
14d5b7b248
1584258aed
hex544b9280

1414238848 has 64 divisors (see below), whose sum is σ = 3172803840. Its totient is φ = 622080000.

The previous prime is 1414238797. The next prime is 1414238849. The reversal of 1414238848 is 8488324141.

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

It is not an unprimeable number, because it can be changed into a prime (1414238849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27448 + ... + 59848.

It is an arithmetic number, because the mean of its divisors is an integer number (49575060).

Almost surely, 21414238848 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 1414238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586401920).

1414238848 is an abundant number, since it is smaller than the sum of its proper divisors (1758564992).

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

1414238848 is a wasteful number, since it uses less digits than its factorization.

1414238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32457 (or 32445 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The square root of 1414238848 is about 37606.3671204758. The cubic root of 1414238848 is about 1122.4687380080.

The spelling of 1414238848 in words is "one billion, four hundred fourteen million, two hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3968 5456 10912 21824 32401 43648 64802 129604 259208 356411 518416 712822 1004431 1036832 1425644 2008862 2073664 2851288 4017724 4147328 5702576 8035448 11048741 11405152 16070896 22097482 22810304 32141792 44194964 45620608 64283584 88389928 128567168 176779856 353559712 707119424 1414238848