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1414233640 = 235311636997
BaseRepresentation
bin101010001001011…
…0111111000101000
310122120010111211201
41110102313320220
510344020434030
6352155533544
750021534101
oct12422677050
93576114751
101414233640
11666330736
1233575a2b4
13196cc3351
14d5b793a8
15842572ca
hex544b7e28

1414233640 has 64 divisors (see below), whose sum is σ = 3305295360. Its totient is φ = 544008960.

The previous prime is 1414233629. The next prime is 1414233641. The reversal of 1414233640 is 463324141.

It is a junction number, because it is equal to n+sod(n) for n = 1414233599 and 1414233608.

It is not an unprimeable number, because it can be changed into a prime (1414233641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198622 + ... + 205618.

It is an arithmetic number, because the mean of its divisors is an integer number (51645240).

Almost surely, 21414233640 is an apocalyptic number.

1414233640 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 1414233640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652647680).

1414233640 is an abundant number, since it is smaller than the sum of its proper divisors (1891061720).

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

1414233640 is a wasteful number, since it uses less digits than its factorization.

1414233640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1414233640 is about 37606.2978768185. The cubic root of 1414233640 is about 1122.4673601586.

Adding to 1414233640 its reverse (463324141), we get a palindrome (1877557781).

The spelling of 1414233640 in words is "one billion, four hundred fourteen million, two hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 163 248 310 326 620 652 815 1240 1304 1630 3260 5053 6520 6997 10106 13994 20212 25265 27988 34985 40424 50530 55976 69970 101060 139940 202120 216907 279880 433814 867628 1084535 1140511 1735256 2169070 2281022 4338140 4562044 5702555 8676280 9124088 11405110 22810220 35355841 45620440 70711682 141423364 176779205 282846728 353558410 707116820 1414233640