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1414187712 = 26327350741
BaseRepresentation
bin101010001001010…
…1100101011000000
310122120001011211200
41110102230223000
510344013001322
6352154541200
750021253150
oct12422545300
93576034750
101414187712
116662aa183
12335737800
13196ca8482
14d5b66760
15842488ac
hex544acac0

1414187712 has 84 divisors (see below), whose sum is σ = 4632600336. Its totient is φ = 404052480.

The previous prime is 1414187701. The next prime is 1414187713. The reversal of 1414187712 is 2177814141.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1414187713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171339 + ... + 179402.

It is an arithmetic number, because the mean of its divisors is an integer number (55150004).

Almost surely, 21414187712 is an apocalyptic number.

1414187712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1414187712 is an abundant number, since it is smaller than the sum of its proper divisors (3218412624).

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

1414187712 is a wasteful number, since it uses less digits than its factorization.

1414187712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350766 (or 350753 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 1414187712 is about 37605.6872294604. The cubic root of 1414187712 is about 1122.4552091161.

The spelling of 1414187712 in words is "one billion, four hundred fourteen million, one hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 350741 701482 1052223 1402964 2104446 2455187 2805928 3156669 4208892 4910374 5611856 6313338 7365561 8417784 9820748 11223712 12626676 14731122 16835568 19641496 22096683 22447424 25253352 29462244 33671136 39282992 44193366 50506704 58924488 67342272 78565984 88386732 101013408 117848976 157131968 176773464 202026816 235697952 353546928 471395904 707093856 1414187712