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1414602440 = 235197923561
BaseRepresentation
bin101010001010001…
…0001111011001000
310122120211020201222
41110110101323020
510344114234230
6352211501212
750024631236
oct12424217310
93576736658
101414602440
11666562829
123358b7808
131970c2184
14d5c33956
15842cb6e5
hex54511ec8

1414602440 has 64 divisors (see below), whose sum is σ = 3392928000. Its totient is φ = 529251840.

The previous prime is 1414602437. The next prime is 1414602443. The reversal of 1414602440 is 442064141.

It is an interprime number because it is at equal distance from previous prime (1414602437) and next prime (1414602443).

It is a super-2 number, since 2×14146024402 = 4002200126507907200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414602443) by changing a digit.

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, 48260 + ... + 71820.

It is an arithmetic number, because the mean of its divisors is an integer number (53014500).

Almost surely, 21414602440 is an apocalyptic number.

1414602440 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 1414602440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696464000).

1414602440 is an abundant number, since it is smaller than the sum of its proper divisors (1978325560).

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

1414602440 is a wasteful number, since it uses less digits than its factorization.

1414602440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23670 (or 23666 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1414602440 is about 37611.2009911941. The cubic root of 1414602440 is about 1122.5649230062.

Adding to 1414602440 its reverse (442064141), we get a palindrome (1856666581).

The spelling of 1414602440 in words is "one billion, four hundred fourteen million, six hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 3002 3160 6004 7505 12008 15010 23561 30020 47122 60040 94244 117805 188488 235610 447659 471220 895318 942440 1790636 1861319 2238295 3581272 3722638 4476590 7445276 8953180 9306595 14890552 17906360 18613190 35365061 37226380 70730122 74452760 141460244 176825305 282920488 353650610 707301220 1414602440