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1418069136 = 243114362459
BaseRepresentation
bin101010010000110…
…0000010010010000
310122211100101011010
41110201200102100
510401011203021
6352414050520
750066250231
oct12441402220
93584311133
101418069136
11668510370
12336aa9a40
13197a37083
14d6497088
1584763976
hex54860490

1418069136 has 80 divisors (see below), whose sum is σ = 4089381120. Its totient is φ = 419717760.

The previous prime is 1418069131. The next prime is 1418069143. The reversal of 1418069136 is 6319608141.

It is a junction number, because it is equal to n+sod(n) for n = 1418069094 and 1418069103.

It is not an unprimeable number, because it can be changed into a prime (1418069131) 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, 8526 + ... + 53933.

It is an arithmetic number, because the mean of its divisors is an integer number (51117264).

Almost surely, 21418069136 is an apocalyptic number.

1418069136 is a gapful number since it is divisible by the number (16) 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 1418069136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044690560).

1418069136 is an abundant number, since it is smaller than the sum of its proper divisors (2671311984).

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

1418069136 is a wasteful number, since it uses less digits than its factorization.

1418069136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62524 (or 62518 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1418069136 is about 37657.2587425054. The cubic root of 1418069136 is about 1123.4811796549.

The spelling of 1418069136 in words is "one billion, four hundred eighteen million, sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 62459 124918 187377 249836 374754 499672 687049 749508 999344 1374098 1499016 2061147 2685737 2748196 2998032 4122294 5371474 5496392 8057211 8244588 10742948 10992784 16114422 16489176 21485896 29543107 32228844 32978352 42971792 59086214 64457688 88629321 118172428 128915376 177258642 236344856 354517284 472689712 709034568 1418069136