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1414132452 = 2233293712203
BaseRepresentation
bin101010001001001…
…1111001011100100
310122112221101001000
41110102133023210
510344004214302
6352153433300
750020633065
oct12422371344
93575841030
101414132452
11666271707
1233570b830
13196c89285
14d5b5056c
158423731c
hex5449f2e4

1414132452 has 96 divisors (see below), whose sum is σ = 3895516800. Its totient is φ = 442786176.

The previous prime is 1414132429. The next prime is 1414132463. The reversal of 1414132452 is 2542314141.

1414132452 is a `hidden beast` number, since 1 + 4 + 1 + 413 + 245 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109783 + ... + 121985.

It is an arithmetic number, because the mean of its divisors is an integer number (40578300).

Almost surely, 21414132452 is an apocalyptic number.

1414132452 is a gapful number since it is divisible by the number (12) 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 1414132452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947758400).

1414132452 is an abundant number, since it is smaller than the sum of its proper divisors (2481384348).

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

1414132452 is a wasteful number, since it uses less digits than its factorization.

1414132452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12274 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1414132452 is about 37604.9524929895. The cubic root of 1414132452 is about 1122.4405887838.

Adding to 1414132452 its reverse (2542314141), we get a palindrome (3956446593).

The spelling of 1414132452 in words is "one billion, four hundred fourteen million, one hundred thirty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 87 108 111 116 148 174 222 261 333 348 444 522 666 783 999 1044 1073 1332 1566 1998 2146 3132 3219 3996 4292 6438 9657 12203 12876 19314 24406 28971 36609 38628 48812 57942 73218 109827 115884 146436 219654 329481 353887 439308 451511 658962 707774 903022 1061661 1317924 1354533 1415548 1806044 2123322 2709066 3184983 4063599 4246644 5418132 6369966 8127198 9554949 12190797 12739932 13093819 16254396 19109898 24381594 26187638 38219796 39281457 48763188 52375276 78562914 117844371 157125828 235688742 353533113 471377484 707066226 1414132452