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1414422440 = 235179772129
BaseRepresentation
bin101010001001110…
…0101111110101000
310122120111002211022
41110103211332220
510344043004230
6352203552012
750023251404
oct12423457650
93576432738
101414422440
1166644a572
1233582b608
1319705b272
14d5bc8104
15842931e5
hex544e5fa8

1414422440 has 64 divisors (see below), whose sum is σ = 3374686800. Its totient is φ = 531693568.

The previous prime is 1414422413. The next prime is 1414422463. The reversal of 1414422440 is 442244141.

It can be written as a sum of positive squares in 8 ways, for example, as 998180836 + 416241604 = 31594^2 + 20402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663296 + ... + 665424.

Almost surely, 21414422440 is an apocalyptic number.

1414422440 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 1414422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687343400).

1414422440 is an abundant number, since it is smaller than the sum of its proper divisors (1960264360).

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

1414422440 is a wasteful number, since it uses less digits than its factorization.

1414422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 1414422440 is about 37608.8080108902. The cubic root of 1414422440 is about 1122.5173076830.

Adding to 1414422440 its reverse (442244141), we get a palindrome (1856666581).

The spelling of 1414422440 in words is "one billion, four hundred fourteen million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 977 1954 2129 3908 4258 4885 7816 8516 9770 10645 16609 17032 19540 21290 33218 36193 39080 42580 66436 72386 83045 85160 132872 144772 166090 180965 289544 332180 361930 664360 723860 1447720 2080033 4160066 8320132 10400165 16640264 20800330 35360561 41600660 70721122 83201320 141442244 176802805 282884488 353605610 707211220 1414422440