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1414174540 = 225434759593
BaseRepresentation
bin101010001001010…
…1001011101001100
310122120000111202211
41110102221131030
510344012041130
6352154400204
750021166562
oct12422513514
93576014684
101414174540
116662a0299
12335730064
13196ca248c
14d5b61a32
1584244a2a
hex544a974c

1414174540 has 96 divisors (see below), whose sum is σ = 3161410560. Its totient is φ = 530697216.

The previous prime is 1414174519. The next prime is 1414174549. The reversal of 1414174540 is 454714141.

It is not an unprimeable number, because it can be changed into a prime (1414174549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384484 + ... + 2385076.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 21414174540 is an apocalyptic number.

1414174540 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 1414174540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

1414174540 is an abundant number, since it is smaller than the sum of its proper divisors (1747236020).

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

1414174540 is a wasteful number, since it uses less digits than its factorization.

1414174540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1414174540 is about 37605.5120959681. The cubic root of 1414174540 is about 1122.4517241884.

Adding to 1414174540 its reverse (454714141), we get a palindrome (1868888681).

The spelling of 1414174540 in words is "one billion, four hundred fourteen million, one hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 47 59 86 94 118 172 188 215 235 236 295 430 470 590 593 860 940 1180 1186 2021 2372 2537 2773 2965 4042 5074 5546 5930 8084 10105 10148 11092 11860 12685 13865 20210 25370 25499 27730 27871 34987 40420 50740 50998 55460 55742 69974 101996 111484 119239 127495 139355 139948 174935 238478 254990 278710 349870 476956 509980 557420 596195 699740 1192390 1198453 1504441 1644389 2384780 2396906 3008882 3288778 4793812 5992265 6017764 6577556 7522205 8221945 11984530 15044410 16443890 23969060 30088820 32887780 70708727 141417454 282834908 353543635 707087270 1414174540